Help solve anyone you can help me with

Help Solve Anyone You Can Help Me With

Answers

Answer 1

The surface area of the frustum is approximately 68.49 cm^2 and the volume is approximately 105 cm^3.

How to solve

To calculate the surface area and volume of the frustum of a pyramid, we first need to determine the slant height of the frustum, which we can do using the Pythagorean theorem.

Calculate the slant height of the frustum:

Let s1 and s2 be the side lengths of the top and bottom squares, and h be the height of the frustum.

The slant height (l) can be calculated using the Pythagorean theorem:

l = sqrt(h^2 + ((s2 - s1)/2)^2)

l = sqrt(5^2 + ((6 - 3)/2)^2)

l = sqrt(25 + 1.5^2)

l = sqrt(25 + 2.25)

l = sqrt(27.25)

l ≈ 5.22 cm

Calculate the surface area of the frustum:

Surface area = top square area + bottom square area + lateral surface area

Top square area = s1^2 = 3^2 = 9 cm^2

Bottom square area = s2^2 = 6^2 = 36 cm^2

Lateral surface area = 0.5 * (s1 + s2) * l = 0.5 * (3 + 6) * 5.22 ≈ 23.49 cm^2

Total surface area ≈ 9 + 36 + 23.49 = 68.49 cm^2

Calculate the volume of the frustum:

We can use the following formula to calculate the volume of a frustum:

Volume = (h/3) * (A1 + A2 + sqrt(A1 * A2))

Where A1 and A2 are the areas of the top and bottom squares, respectively:

A1 = 3^2 = 9 cm^2

A2 = 6^2 = 36 cm^2

Volume = (5/3) * (9 + 36 + sqrt(9 * 36))

Volume = (5/3) * (45 + sqrt(324))

Volume = (5/3) * (45 + 18)

Volume = (5/3) * 63

Volume ≈ 105 cm^3

So, the surface area of the frustum is approximately 68.49 cm^2 and the volume is approximately 105 cm^3.

Read more about volume here:

https://brainly.com/question/1972490
#SPJ1


Related Questions

i need help quickly 40j-16

Answers

Answer:

Answer: 40j - 16 = 40j + (-16) (Additive inverse property) = 40j + (-1)(16) (Distributive property) = 40j + (-1)(4)2 (FOIL - first, outer, inner, last) = (40j + (-1)4) + (-1)2 (Order of operations - parentheses first) = (40j - 4) + (-1)2 (Distributive property) = 36j - 2

Answer:

8(5j−2)

Step-by-step explanation:

1 / 4

Let's find the greatest common factor of 40

8 is greatest common factor

40j/8 - 16/8

=

8(5j-2)

canadian radio stations are required to have at least 35% of their content be canadian in origin. a listener sampled his favorite station's content to test whether it is falling short of the quota. in his sample of 100 time intervals, canadian content was playing for 33 of them. what is the test statistic for this test?

Answers

The test statistic for this hypothesis test is -0.3886.

In statistical hypothesis testing, a test statistic is a numerical value that is calculated from a sample of data and used to determine whether to accept or reject the null hypothesis.

To calculate the test statistic for this hypothesis test, we need to use the formula for the proportion test

z = (p - P) / sqrt(P(1-P) / n)

Where

p is the proportion of Canadian content in the sample (33/100 = 0.33)

P is the hypothesized proportion (35% = 0.35)

n is the sample size (100)

Substituting the values, we get

z = (0.33 - 0.35) / sqrt(0.35(1-0.35) / 100)

z = -0.02 / 0.0516

z = -0.3886

Learn more about test statistic here

brainly.com/question/28068076

#SPJ4

What are the values of w and x?

Answers

The values of x and w in the two triangles are w = 50and x = 24

Calculating the values of x and w

from the question, we have the following parameters that can be used in our computation:

two triangles

The sum of angles in a triangle is 180 degrees

This means that

w = 180 - 2 * 65

And we have

x = 180 - 2 * 78

When evaluated, we have

w = 50

x = 24

Hence, the values are w = 50and x = 24

Read more about angles at

https://brainly.com/question/25716982

#SPJ1

I got stuck at on a problem what is 3x+4+2x+5=34?

Answers

Given:

[tex]3x+2x=34-5-4[/tex]

[tex]5x=29-4[/tex]

[tex]5x=25[/tex]

[tex]x=25\div5[/tex]

Answer:

[tex]\bold{x=5}[/tex]
Answer:

x = 5

Step-by-step explanation:

Given: 3x+4+2x+5=34

first combine similar values,

3x + 2x and 4 + 5

5x + 9 = 34

time for substitution

5x + 9 - 9 = 34 - 9

5x = 25

divide by the value of x in this instance it is 5

5x = 25 / 5

x= 5

now to check we will plug in 5 for x

3(5) +4+2 (5) +5=34

15 + 4 + 10 + 5 = 34

19 + 15 = 34

34 = 34✓

Hope this helps, happy learning =D

Write a word phrase for the algebraic expression: h + 6

Answers

The word phrase for h + 6 is Six more h or the sum of six and h.

Converting algebraic expression to word phrase:

An algebraic expression is a mathematical phrase that uses variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division.

Converting an algebraic expression to a word phrase means expressing the mathematical expression in words.

This can be useful in situations where mathematical symbols may not be understood or when communicating mathematical concepts to someone who may not be familiar with them.

Here we have the expression h + 6

Where 6 is added to h

Hence,

The word phrase for h + 6 is Six more h or the sum of six and h.

Learn more about Algebraic expression at

https://brainly.com/question/1577826

#SPJ1

Help I needed please

Answers

Answer:

Step-by-step explanation:

Area = length x height
A = 2.4 x 5.6
A = 13.44 in^2

Hernando’s salary was $49,500 last year. This year his salary was cut to $44,055. find the percent decrease

Answers

Step-by-step explanation:

Decrease is   49500 - 44055 = 5445 dollars

What percent of 49500   is   5445 ?

5445 / 49500   x 100% = 11% decrease

york steel corporation produces a special bearing that must meet rigid specifications. when the production process is running properly, 10% of the bearings fail to meet the required specifications. sometimes problems develop with the production process that cause the rejection rate to exceed 10%. to guard against this higher rejection rate, samples of 15 bearings are taken periodically and carefully inspected. if more than 2 bearings in a sample of 15 fail to meet the required specifications, production is suspended for necessary adjustments. a . a.if the true rate of rejection is 10% (that is, the production process is working properly), what is the probability that the production will be suspended based on a sample of 15 bearings? b . b.what assumptions did you make in part a?

Answers

a) If the true rate of rejection is 10%, then the probability that the production will be suspended based on a sample of 15 bearings is 10%.

b)  The assumptions made in part a are that the sample of 15 bearings is representative of the population of bearings produced, and that each bearing is independent of the others.

To ensure that the production process is producing quality products, samples of 15 bearings are taken periodically and carefully inspected. If more than 2 bearings in a sample of 15 fail to meet the required specifications, production is suspended for necessary adjustments.

a) If the true rate of rejection is 10%, what is the probability that the production will be suspended based on a sample of 15 bearings? To answer this question, we need to use the binomial distribution. The binomial distribution is used to calculate the probability of a certain number of successes in a fixed number of independent trials. In this case, the number of trials is 15, and the probability of success (i.e., a bearing not meeting the required specifications) is 10%.

b) The assumptions allow us to use the binomial distribution to calculate the probability of having a certain number of bearings fail to meet the required specifications in a sample of 15. Additionally, we assume that the true rate of rejection is 10%, which may not always be the case.

To know more about probability here

https://brainly.com/question/11234923

#SPJ4

A line is perpendicular to y = 1/4x -8 and intersects the point (2,2). What is the equation of this perpendicular line y = [?]x + [?]​

Answers

Answer:

y=-4x+10

Step-by-step explanation:

y = -4x + c

2 = -4*2 + c

2= -8+c

c= 10

y=-4x+10

which type of exponential smoothing technique is best for data with a trend but no seasonality? triple exponential smoothing-winters exponential smoothing single exponential smoothing double exponential smoothing holt-winters exponential smoothing

Answers

Holt linear exponential smoothing or  Holt-Winters exponential smoothing technique is best for data with a trend but no seasonality.

For trend but nonseasonal data, Holt linear exponential smoothing (aka double exponential smoothing) or Holt-Winters exponential smoothing (aka triple exponential smoothing) can be used to compare single exponential smoothing or Exponential smoothing is better than post-winter smoothing.

Holt's linear exponential smoothing method uses his two smoothing factors:

One for the level of the series and one for the trend. Suitable when data show a linear trend.

Holt-Winter exponential smoothing adds his third seasonal smoothing factor to Holt's linear exponential smoothing method. Appropriate when the data show trends over time and exhibit seasonal patterns. Therefore, Holt's linear exponential smoothing method is best when the data show a linear trend. Holt-Winters exponential smoothing is more appropriate when trends are more complex and there is evidence of seasonality.

learn more about exponential smoothing

brainly.com/question/13181254

#SPJ4

Use the model to answer this question. 2/5x1/4 ?

Answers

It’s 2/20 hope this helped

Correct gets brainliest Here is a prism with a pentagonal base. The height is 8 cm.
Check image for full question

Answers

Answer:

232 cubic centimeters

Step-by-step explanation:

V = Bh

= (7(2) + (1/2)(3)(3 + 7))(8)

= (14 + 15)(8) = 29(8)

= 232 cubic centimeters

If jose used 4 gallons of wood sealant to cover the hemispherical ceiling of his vacation home, how many gallons of wood sealant are needed to cover the floor?

Answers

4/3 Gallons of wood sealant are needed to cover the floor of Jose's vacation home.

To determine how many gallons of wood sealant are needed to cover the floor, first, we need to find the relationship

between the surface area of the hemispherical ceiling and the floor.

Calculate the surface area of the hemispherical ceiling.

The surface area of a hemisphere is given by the formula [tex]3πr^2[/tex], where r is the radius.

Calculate the surface area of the floor.

The floor is a circle, so its surface area is given by the formula[tex]πr^2[/tex].

Determine the ratio between the surface areas.

Divide the surface area of the floor by the surface area of the hemispherical ceiling: [tex](πr^2) / (3πr^2).[/tex] The [tex]πr^2[/tex]terms

cancel out, leaving 1/3.

Apply the ratio to the amount of wood sealant used for the ceiling.

Since Jose used 4 gallons of wood sealant for the ceiling, we can multiply this by the ratio to find the amount needed

for the floor: 4 gallons × (1/3) = 4/3 gallons.

Therefore, 4/3 gallons of wood sealant are needed to cover the floor of Jose's vacation home.

for such more question on surface area

https://brainly.com/question/27987869

#SPJ11

a and b are two events. the notation for conditional probability is p(b|a).which notation is the probability of two events being independent?

Answers

The notation of the probability of two events being not independent is option (c) P(B|A) = P(B)

The notation for the probability of two events being not independent is P(B|A) ≠ P(B).

None of the options presented directly corresponds to this notation. However, we can use the concept of independent events to determine the probability of two events being not independent.

If two events A and B are independent, then P(B|A) = P(B). Therefore, if P(B|A) ≠ P(B), then A and B are not independent.

P(B|A) = P(B), which represents the probability of B given A assuming that A and B are independent events.

Therefore, the correct option is (c) P(B|A) = P(B)

Learn more about probability here

brainly.com/question/11896081

#SPJ4

The given question is incomplete, the complete question is:

A and B are two events. The notation for conditional probability is P(B|A).

Which notation is the probability of two events being not independent?

a. P(B|A) = P(A and B) / P(A)

b. P(B|A) = P(A) / P(B)

c. P(B|A) = P(B)

d. P(B|A) = P(B) / P(A)

Find the value of x. (Please)

Answers

Answer:

x = 11

Step-by-step explanation:

35 + 5x = 90

5x = 55

x = 11

Basic Trinomials. (Check for GCF)
x^3 + 16x^2 + 64x

Answers

Answer:

x^3 + 16x^2 + 64x First, we need to check if there is a greatest common factor (GCF) that we can factor out. In this case, we can factor out "x" since it is a common factor in all the terms: x(x^2 + 16x + 64) Now, we need to factor the quadratic trinomial inside the parentheses. We can do this by finding two numbers that multiply to 64 and add up to 16. These numbers are 8 and 8: x(x + 8)(x + 8) Therefore, the factored form of the trinomial expression is: x(x + 8)^2 I hope this helps!

0 / 350

if an ice block 10 centimeters wide, 10 centimeters high, and 20 centimeters long was melted, how much would it raise the water level in a tank that is 100 centimeters long by 40 centimeters wide?

Answers

Step-by-step explanation:

Volume of ice =   10 X 10 X 20 = 2000 cm^3

tank volume increase will be the same

   100 x 40 x HEIGHT = 2000

            Height = 2000/ ( 100 X 40) =  .5 cm height increase

The melting of the ice block would raise the water level in the tank by approximately 0.5 centimeters. This can be answered by the concept of Volume

To calculate the amount of water that would be displaced by the ice block, we need to first find its volume, which is 10 x 10 x 20 = 2000 cubic centimeters. Since 1 cubic centimeter of water has a mass of 1 gram, the mass of the ice block would be 2000 grams or 2 kilograms.

When the ice block melts, it will turn into water and occupy the same volume, which would displace an equal amount of water in the tank. The volume of the tank is 100 x 40 x h, where h is the increase in water level. Setting the volume of the ice block equal to the increase in the water level, we get:

2000 = 100 x 40 x h

h = 0.5 centimeters

Therefore, the melting of the ice block would raise the water level in the tank by approximately 0.5 centimeters.

To learn more about Volume here:
brainly.com/question/1578538#

#SPJ11

Pre algebra angle relationships summarize 5

Answers

Complementary angles, Supplementary angles, Vertical angles, Adjacent angles and Linear pairs these are the  5 Pre algebra angle.

To summarize 5 angle relationships in pre-algebra, we can discuss the following:

1. Complementary angles: These are two angles that add up to 90 degrees. To find a complementary angle, subtract the given angle from 90 degrees. For example, if the given angle is 30 degrees, its complementary angle is 60 degrees (90 - 30 = 60).

2. Supplementary angles: These are two angles that add up to 180 degrees. To find a supplementary angle, subtract the given angle from 180 degrees. For example, if the given angle is 120 degrees, its supplementary angle is 60 degrees (180 - 120 = 60).

3. Vertical angles: These are angles that are opposite each other when two lines intersect. Vertical angles are always equal. For example, if one angle measures 40 degrees, its vertical angle will also be 40 degrees.

4. Adjacent angles: These are angles that share a common side and vertex but do not overlap. Adjacent angles can be complementary, supplementary, or neither, depending on their degree measures.

5. Linear pairs: These are adjacent angles that add up to 180 degrees,

forming a straight line. Both angles in a linear pair are supplementary.

When working with angle relationships in pre-algebra, remember these

five concepts to help you find missing angle measurements and solve problems.

for such more question on Complementary angle

https://brainly.com/question/16220339

#SPJ11

What is a equation of line passes through the points (-6,6) and (-3,1)

Answers

Answer:

First find slope. m = (y2 - y1)/(x2 - x1) = (6 -1)/(-6 --3) = 5/-3. then. use. y - y1 =. m (x - x1). which gives. y - 1 = -5/3(x - 3)

Step-by-step explanation:

Helppp !!! Giving 20 pts !!

Answers

To determine when the ball strikes the ground, we need to find the value of t when the height h(t) is 0.

The equation for the ball's height h at time t seconds after launch is:

h(t) = -4.9t^2 + 9.31t + 239.12

Setting h(t) to 0, we get:

0 = -4.9t^2 + 9.31t + 239.12

We can solve this quadratic equation using the quadratic formula:

t = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = -4.9, b = 9.31, and c = 239.12.

Answer: 6.12 seconds

Step-by-step explanation:

To find when the object strikes the ground, we need to find the time t when the height h(t) is equal to 0 (since the ground is at height 0). We have the equation:

h(t) = -4.9t² + 9.31t + 239.12

To find the time when the object strikes the ground, we need to find the value of t when h(t) = 0:

0 = -4.9t² + 9.31t + 239.12

This is a quadratic equation of the form at² + bt + c = 0, where a = -4.9, b = 9.31, and c = 239.12. We can solve this equation for t using the quadratic formula:

t = (-b ± √(b² - 4ac)) / 2a

Plugging the values of a, b, and c into the formula, we get:

t = (-(9.31) ± √((9.31)² - 4(-4.9)(239.12))) / (2(-4.9))

t = (-9.31 ± √(86.6161 + 4694.336)) / (-9.8)

t = (-9.31 ± √(4780.9521)) / (-9.8)

t ≈ (-9.31 ± 69.14) / (-9.8)

We will have two possible values for t:

t₁ ≈ (-9.31 + 69.14) / (-9.8) ≈ 6.12 (rounded to two decimal places)

t₂ ≈ (-9.31 - 69.14) / (-9.8) ≈ 8.00 (rounded to two decimal places)

Since the height function describes the motion of the ball from a platform, we can discard the negative solution as it represents an invalid time before the ball is launched. Thus, the object strikes the ground at approximately t ≈ 6.12 seconds.

Find the 61st term of the following arithmetic sequence7,16,25,34

Answers

Answer:

61st term = 547

Step-by-step explanation:

The formula for the nth term of an arithmetic sequence is

[tex]a_{n}=a_{1}+(n-1)d[/tex], where a1 is the first term, n is the term position (e.g., 1st or 61st) and d is the common difference.

We already know that a1 = 7 and the n = 61.  We can find the common difference by finding the difference of any two consecutive terms with the smaller term being subtracting from the larger:

Thus, if we use 7 and 16, our common difference (d) is:

d = 16 - 7 = 9

Now, we can simply plug in everything to the formula to find the 61st term:

[tex]a_{61}=7+(61-1)*9\\ a_{61}=7+60*9\\ a_{61}=7+540\\ a_{61}=547[/tex]

14. Which triangles are similar?

Answers

The two triangles therefore meet the Angle-Angle (AA) similarity criterion, which specifies that two angles of one triangle must be congruent with two angles .

what is angles ?

Angles are typically modeled with a symbol that resembles a tiny arc between the angle's two sides, with a dot at the vertex. For illustration, angle BAC might be used to represent the angle created by the vectors AB and AC, with point A serving as the vertex. Calculus, geometry, trigonometry, and other branches of mathematics all depend on angles. They are used to calculate different quantities linked to angles and their trigonometry, to measure distances and areas, and to describe the shapes and sizes of objects.

given

Triangles ABD and ECD in the given figure are comparable triangles since they share the same shape and have equal corresponding angles. Angles ADB and CDE are equal because they are formed when parallel lines AB and CD are intersected by transversal BD, and angle BAD and angle EDC are also equal because they are formed when parallel lines AD and EC are intersected by transversal BD. In particular, angle ABD and angle ECD are both right angles (90 degrees).

The two triangles therefore meet the Angle-Angle (AA) similarity criterion, which specifies that two angles of one triangle must be congruent with two angles of another triangle in order for the triangles to be comparable.

To know more about angles visit:

https://brainly.com/question/14569348

#SPJ1

How many solutions does this linear system have?

y = 2x – 5

–8x – 4y = –20

one solution: (–2.5, 0)
one solution: (2.5, 0)
no solution
infinite number of solutions

infinite number of solutions

Answers

Answer:

A system of linear system equation usually has a single solution but some time it can have no solution or infinte solution(Same line)

The PTA at Middletown High School is having its annual dinner and auction to raise money for music and art programs. Last year, the event raised $20,800. This year, it raised $31,408. What is the percent of increase in the amount raised?

Answers

Answer:

51%

Step-by-step explanation:

31,408-20,800=10,608÷20,800=0.51×100=51.

You subtract the retail price from the original and you divide the number you get by the original price and then times the number by a hundred.

Shannon wants to buy a car but only has half as much money as she needs. If Shannon deposits the money into a savings account that earns 10.99% interest compounded quarterly, how long will it take for her money to double?
Round your answer to the nearest month.

Answers

it will take Shannon about 80 months for her money to double if she deposits it into a savings account that earns 10.99% interest compounded quarterly.

Shannon's funds will double in value during the following period of time, according to the quarterly compound interest formula:

[tex]A = P(1+r/n)^{nt}[/tex]

where n is the number of times interest is compounded each year, r is the yearly interest rate, P is the principal amount, A is the amount after t years, and t is the amount of time in years.

Shannon currently has P/2 dollars, which is half of what she needs. Finding t when A = 2P will help us determine how long it will take for her money to double.

We are aware that n = 4 and r = 10.99%. (since interest is compounded quarterly). Solving for t using these values as input results in:

[tex]2P = P/2(1 + 0.1099/4)^{(4t) }\\4 = (1 + 0.1099/4)^{(4t)} log(4) \\= 4t log(1 + 0.1099/4)^ t = log(4)/(4 log(1 + 0.1099/4))[/tex]

t ≈ 6.7 years

Rounding this to the nearest month gives:

t ≈ 80 months

Therefore, it will take Shannon about 80 months for her money to double if she deposits it into a savings account that earns 10.99% interest compounded quarterly.

learn more about compound interest formula:

https://brainly.com/question/29639856

#SPJ1

Identify whether to find GCF or LCM to solve the word problem:

April is putting together party bags. She splits 72 Reese's Cups and 90 KitKats into bags. There is no candy left over. What is the greatest number of party bags April can make?


LCM OR GCF

Answers

We need to find the GCF of 72 and 90 to solve this problem. We can calculate it in the following manner.

To solve this problem, we need to find the greatest number of party bags April can make with no candies left over. This means we need to find the greatest common factor (GCF) of 72 and 90.

The GCF of two numbers is the largest number that divides evenly into both of them. In this case, we need to find the largest number that can divide both 72 and 90 without any remainder.

Once we have found the GCF, we can divide both 72 and 90 by it to find the maximum number of party bags April can make with no candy left over.

Therefore, we need to find the GCF of 72 and 90 to solve this problem.

Learn more about GCF here brainly.com/question/11444998

#SPJ1

Determine whether the triangles are similar, If similar state how( AA. SSS. SAS) and write a similarity statement.

Answers

By the AA similarity theorem, we can conclude that triangles FGH and FPQ are similar.

Equations

To prove that triangles FGH and FPQ are similar, we need to show that their corresponding angles are congruent and their corresponding sides are proportional.

Angle F in triangle FGH corresponds to angle F in triangle FPQ

Angle H in triangle FGH corresponds to angle Q in triangle FPQ

Angle G in triangle FGH corresponds to angle P in triangle FPQ

From the problem, we know that angle F = 63 degrees and angle H = 30 degrees. We also know that angle GPQ = 93 degrees, which means angle G + angle P = 93 degrees. Therefore, angle G = 93 degrees - angle P

Using the fact that the sum of angles in a triangle is 180 degrees, we can find angle Q:

Angle FGH: angle F + angle G + angle H = 63 degrees + (93 - angle P) + 30 degrees = 186 - angle P degrees

Triangle FPQ: angle F + angle P + angle Q = 180 degrees

Therefore, angle Q = 180 - angle F - angle P = 117 - angle P degrees

Now, we can compare the corresponding sides:

Side FG in triangle FGH corresponds to side FQ in triangle FPQ

Side GH in triangle FGH corresponds to side PQ in triangle FPQ

Side FH in triangle FGH corresponds to side PQ in triangle FPQ

To show that these sides are proportional, we can use the Angle-Angle (AA) similarity theorem and We already know that angle F in triangle FGH corresponds to angle F in triangle FPQ, and angle G in triangle FGH corresponds to angle P in triangle FPQ. We just showed that angle Q in triangle FPQ corresponds to angle H in triangle FGH. Therefore, we have two pairs of corresponding angles that are congruent.

To know more about Similar Triangles, click here,

https://brainly.com/question/14926756

#SPJ1


125 invitations to 75 invitations

Answers

Answer: 43%

Hope that helps

Pls help and explain‍♀️

Answers

the equation that relates the time it took James to sort the supplies for b bags is: t = 1.5b

option D.

What is the equation?

Sherry sorted enough supplies for 10 bags in 30 minutes (from 10:10 a.m. to 10:40 a.m.). Let's call the rate at which Sherry sorted the supplies "r."

Then, we can write:

r = 10 bags / 30 minutes

r = 1/3 bags per minute

Since James sorted twice as fast as Sherry, his rate is 2r:

2r = 2/3 bags per minute

To find the time it took James to sort b bags, we can use the formula:

time = (amount of work) / (rate of work)

In this case, the "amount of work" is b bags, and the "rate of work" is 2/3 bags per minute. So, we get:

time = b / (2/3)

time = (3/2) b

Therefore, the equation that relates the time it took James to sort the supplies for b bags is:

t = (3/2) b

So, the correct answer is (D) t = 1.5b.

Learn more about equations here: https://brainly.com/question/2972832

#SPJ1

At the baseball game the Kacanich family purchased 3 hot dogs and 2 cheeseburgers and paid $31.25. The Nisbet family purchased 5 hot dogs and 2 cheeseburgers and paid $41.75. Write and solve a linear system to find the cost of each hot dog and each cheeseburger.

Answers

Let x be the cost of a hot dog and y be the cost of a cheeseburger. Then we can set up the following system of equations:

3x + 2y = 31.25

5x + 2y = 41.75

We can solve for one of the variables by subtracting the first equation from the second:

5x + 2y - (3x + 2y) = 41.75 - 31.25

2x = 10

x = 5

Substituting x = 5 into either of the equations above gives:

3(5) + 2y = 31.25

15 + 2y = 31.25

2y = 16.25

y = 8.125

Therefore, a hot dog costs $5 and a cheeseburger costs $8.125.

Other Questions
What is it called when the economy is expanding over several quarters? Jeanette purchase a concert ticket on a web site.the original price of the ticket was $75.she used a coupon code to receive a 20% discount.the web site applied a 10% service fee to the discounted price. If OS is a radius perpendicular to chord WV and intercepts it at point M. Find MW. voter turnout in a primary is typically group of answer choices lower than both presidential and midterm elections. higher than in a midterm election. about the same as a presidential election. higher than in a presidential election. Margaret Thatcher joined Ronald Reagan in taking a firm hand against communism inthe Eastern Bloc.TrueFalse The community of writers known as the Beats ______.a. applied scientific principles of objectivity and detachment to their charactersb. believed that mass culture was inundated by meaningless conformismc. sought to portray the realities of everyday experiencesd. shared a heightened interest in nature and on individual self-expression Find the premium an employee must pay if his share of the health insurance 40% of 84$ negotiable instruments: a.are generally also gold certificates. b.make business deals more difficult. c.are a substitute for cash. d.are part of federal regulatory controls. Find length c of a triangle given length of side b=24cm, height by side a=12 root 3, and the radius of its circumscribed circle=7root3 a 5-card poker hand is dealt from a well shuffled regular 52-card playing card deck. find the probability that the hand is a full house (one pair of the same face value and one triple of the same face value). a group of 19 1919 beavers get together to build a dam. they decide to divide into teams with 4 44 beavers on each full team. after they make as many full teams as possible, the rest of the beavers make a smaller team. how many full teams of beavers will there be? answer must be a whole number. teams how many beavers will be in the smaller team? answer must be a whole number. beavers last year, you earned a rate of return of 11.29 percent on your bond investments. during that time, the inflation rate was 4.6 percent. what was your real rate of return? group of answer choices 5.60 percent 6.40 percent 5.30 percent 6.70 percent 5.75 percent In the poem, "josh's play-by-play he says, "when jordan bell is open you can take his three to the bank, cash it in, 'cause it's all money. tonight, i'm going for broke." what does this mean? What is czar doing? What do you see in the background? What time period is the political cartoon referencing? How can cartoons like this influence public opinion which statement is not true about the theory of punctuated equilibrium? group of answer choices the theory of punctuated equilibrium tells us that rapid, chaotic progress can be caused by a crisis. the theory of punctuated equilibrium tells us that rapid, chaotic progress can be triggered once a group uses up half of the time allotted to it to complete a given task. the theory of punctuated equilibrium tells us that revolutionary change actually occurs in small increments over time. the theory of punctuated equilibrium tells us that change during periods of equilibrium is mostly incremental. What was the taping rebellion how did it start and what were the results every project has a set of requirements it must satisfy. requirements risks include those issues, events, and conditions that are uniquely related to project or product requirements. of the following, which is not a common type of requirements risk? a.incorrect or missing requirements b.incomplete or over-specification c.scope creep d.patents and copyrights the big bang theory suggests that the universe formed as a result of the sudden expansion of a singularity. what observations about galaxies in the universe provide support for this suggestion? a company that develops artificial flavorings for candy manufacturers uses research to refine its market offerings. its studies require participants to make repeated comparisons between pairs of products; in each pair, the products differ on the key attributes of flavoring strength and price. the research approach of this firm is: which of the following private solutions resolving the externality of pollination took place in this scenario? charities moral codes and social sanctions contracts integration of different types of businesses through merger or acquisition keep in mind that sometimes private solutions to externalities are not achieved. for instance, this could occur when an excessive amount of time or money must be spent for parties to reach an agreement. this describes the problem of . continue without saving