At the gift shop, they sell small greeting cards and large greeting cards. The cost of a
small greeting card is $2 and the cost of a large greeting card is $5.45. How much
would it cost to get 3 small greeting cards and 2 large greeting cards? How much
would it cost to get x small greeting cards and y large greeting cards?

The constant of proportionality of this table  is: k = 1/7.

The ratio between two quantities that are directly proportional is the constant of proportionality.

When y and x are two values that are direct proportion to one another, the proportionality constant k is defined as k=y/x.

Thus, using the x and its respective y values.

As the values are in direct proportion.

The constant of proportionality is:

k = 1/7

know more about the constant of proportionality

https://brainly.com/question/28413384

#SPJ1

Answer:

[tex]9 + 15 = 24 > 13[/tex]

[tex]9 + 13 = 22 > 15[/tex]

[tex]15 + 13 = 28 > 9[/tex]

So the lengths 13, 15, and 9 can form a triangle.

The interest that is paid on the loan in 6 years will be $4,200.

The amount of interest that is saved is $2,100.

The simple interest is a linear function of the number of years of the loan, value of the loan and the duration of the loan. The higher either of these values are, the higher the simple interest.

Simple interest = loan x time x interest rate

Simple interest if the loan is paid off after 6 years: $12,500 x 6 x 0.056 = $4,200

Simple interest if the loan is paid off after 3 years: $12,500 x 3 x 0.056 = $2100

Interest saved = $4200 - $2100 = 2100

To learn more about simple interest, please check: https://brainly.com/question/27328409

#SPJ1

Gina finished making sugar cookies at 1:30 P.M.

The four basic mathematical operations are Addition, subtraction, multiplication, and division.

To find out what time Gina finished making sugar cookies, we need to add the time it took her to make them to the starting time.

Starting time: 12:15 P.M.

Time it took to make cookies: 1 hour and 15 minutes

To add the time, we first convert 1 hour and 15 minutes to hours by dividing the minutes by 60:

1 hour and 15 minutes = 1 + 15/60 hours = 1.25 hours

Now we can add 1.25 hours to 12:15 P.M.:

12:15 P.M. + 1.25 hours = 1:30 P.M.

Hence, Gina finished making sugar cookies at 1:30 P.M.

To learn more about basic arithmetic operations, Visit

https://brainly.com/question/20628271

#SPJ1

Complete question:

Gina started making sugar cookies for her friends at 12:15 P.M. It took her 1 hour and 15 minutes to make. By what time Gina finished making sugar cookies?

Answer:

The probability of winning second prize in a 5/45 lottery is 1 in 8,145. This is calculated by taking the total number of possible combinations (8,145) and dividing it by the total number of possible outcomes (1).

Answer:

here is your answer  attached

Step-by-step explanation:

It took Rapunzel approximately 14.58 minutes to clean her room.

Cleaning refers to the process of removing dirt, dust, and other unwanted substances from a surface or an object.  

Let's start by converting the time to minutes.

15 1/2 minutes = 15.5 minutes

Let's now subtract the time she finished cleaning from the time she started cleaning:

15.5 - 0.92 = 14.58 minutes

Therefore, it took Rapunzel approximately 14.58 minutes to clean her room.

Learn more about subtract here : brainly.com/question/13378503

#SPJ1

The prοbability that mοre than twο machines need cοrrecting is apprοximately 0.0826 οr 8.26%.

Binοmial distributiοn is a prοbability distributiοn that describes the number οf successes in a fixed number οf independent trials, where each trial can οnly have twο οutcοmes: success οr failure.

Accοrding tο questiοn:

Let X be the number οf machines that need cοrrecting adjustments during a day's prοductiοn run, and let p = 0.2 be the prοbability that any οne machine needs cοrrecting.

Then, X fοllοws a binοmial distributiοn with parameters n = 6 (the number οf machines) and p = 0.2 (the prοbability οf a machine needing cοrrecting).

The prοbability οf X is:

P(X > 2) = 1 - P(X <= 2)

Tο calculate P(X <= 2), we can sum the prοbabilities οf X taking οn the values 0, 1, and 2:

P(X <= 2) = P(X = 0) + P(X = 1) + P(X = 2)

P(X = 0) = (6 chοοse 0) * 0.2⁰ * 0.8⁶ = 0.2621

P(X = 1) = (6 chοοse 1) * 0.2¹ * 0.8⁵ = 0.3932

P(X = 2) = (6 chοοse 2) * 0.2²* 0.8⁴ = 0.2621

Therefοre,

P(X <= 2)

= 0.9174

And

P(X > 2)

= 1 - P(X <= 2)

= 1 - 0.9174

= 0.0826

Sο the prοbability that mοre than twο machines need cοrrecting is apprοximately 0.0826 οr 8.26%.

To know more about binomial distribution visit:

https://brainly.com/question/29137961

#SPJ1

Answer:

52500

Step-by-step explanation:

first do 5*105 to get 525 then mutiply by 100 to get 52500

Answer:

9 Boys

Step-by-step explanation:

As we Know, 12 ÷ 4 is 3

3 x 3 is 9

therefore, it's 9

Answer: Answer is below <3

The quotient of three times a number and 7: 3n/7

The difference between 5 and a number is x:  5 - n = x

The product of 3 times a number and 7:  (3n)(7)

Two times the sum of a number and 9:  2 (n + 9)

The sum of twice a number and 9:  2n + 9

5 less than a number is x:  x = n - 5

Answer:

B: 9

Step-by-step explanation:

The prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, and 23.

Answer: Linear

Step-by-step explanation:

Since the difference between consecutive values of f(x) is constant, this suggests that the function could be linear. To confirm this, we can calculate the differences between consecutive values:f(1) - f(0) = -15 - (-18) = 3

f(2) - f(1) = -12 - (-15) = 3

f(3) - f(2) = -9 - (-12) = 3

f(4) - f(3) = -6 - (-9) = 3

Since the differences are constant and equal to 3, this confirms that the function is linear.

To find the equation of the linear function, we can use the slope-intercept form of a linear equation:

y = mx + bwhere m is the slope and b is the y-intercept.

We can use the first two points (0, -18) and (1, -15)  to find the slope:

m = (change in y) / (change in x) = (-15 - (-18)) / (1 - 0) = 3

Now we can use the slope and one of the points to find the y-intercept:

y = mx + b

-18 = 3(0) + b

b = -18

Therefore, the equation of the linear function is:

f(x) = 3x - 18

So the function type that could represent the values in the table is linear.

The amount and the compound interest on a sum of Rs. 62500 are Rs. 65625 and Rs. 3125, respectively.

Given:

Principal amount (P) = Rs. 62500

Rate of interest (R) = 5%

Time period (t) = 1 year

Interest is compounded yearly.

Formula for calculating compound interest is given as:

A = P(1 + R/100)ᵗ

where A is the amount.

Using this formula, we can find the amount (A) after one year:

A = 62500(1 + 5/100)¹

A = 65625

Therefore, the amount after one year is Rs. 65625.

To find the compound interest, we can subtract the principal from the amount:

Compound Interest = A - P

= 65625 - 62500

= 3125

Therefore, the compound interest is Rs. 3125.

Read more about compound interest at

https://brainly.com/question/24924853

#SPJ1

The first thing we must do for this case is to find the surface area of the rectangular prism.

We have then:

[tex]A = 2 \times (l \times h) + 2 \times (h \times w) + 2 \times (w \times l)[/tex]

Where,

w: width

l: long

h: height

Substituting values we have:

[tex]A = 2 \times (10 \times 8) + 2 \times (8 \times 8) + 2 \times (8 \times 10)[/tex]

[tex]A = 448 \ in ^ 2[/tex]

Answer:

the least amount of wrapping paper needed to wrap the gift box answer is:

A = 448 in²

In Bermuda, there are a total of 90 telephones for each 100 people. Also there are a total of 3,76,000 telephones in use in Luxembourg according to simple calculations.

Here, they given that a telephone symbol is equal to 5 telephones.

Then according to the given diagram,

1. There are:

= (5 + 5 + 5 + 3) 5 telephones

= ( 18 ) 5 telephones

= 90 telephones.

Therefore, there are a total of 90 telephones for each 100 people.

2. In 2005, the population of Luxembourg was 470,000.

According to the given diagram, there are 80 telephones available for every 100 people.

For 4,70,000:

100 -------------- 80

4,70,000 ------ (x)

After cross multiplication,

x * 100 = 80 * 470000

x = 8 * 47000

x = 3,76,000

Therefore, there are total of 3,76,000 telephones in use in Luxembourg.

Learn more about simple calculations:

https://brainly.com/question/10657309

#SPJ1

Answer:

Brainly Plus.

Step-by-step explanation:

You have to pay money. Otherwise, I don't think you can.

Maybe you could try just installing a bunch of ad-blockers.

But pretty much the only way is Brainly Plus.

The series [tex]\tan(2^{-n})[/tex] is convergent.

In mathematics, the cοnvergence οf a series refers tο the behaviοr οf the series' partial sums as mοre terms are added. A series cοnverges if its sequence οf partial sums apprοaches a finite limit, which is called the sum οf the series. If the sequence οf partial sums dοes nοt apprοach a finite limit, the series diverges.

The series [tex]\tan(2^{-n})[/tex] converges because of the following reasons:

As n increases, [tex]2^{-n}[/tex] becomes very small, which makes [tex]\tan(2^{-n})[/tex] close to its linear approximation. Therefore, we can use the linear approximation of [tex]\tan(2^{-n})[/tex] to estimate its value.

The linear approximation of [tex]\tan(2^{-n})[/tex] is [tex]2^{-n}[/tex], which means that [tex]\tan(2^{-n})[/tex] ≈ [tex]2^{-n}[/tex] when [tex]2^{-n}[/tex] is small.

Since the series [tex]2^{-n}[/tex] is convergent, by comparison test, the series [tex]\tan(2^{-n})[/tex] is also convergent.

Alternatively, we can also use the fact that the series tan(x) is convergent for x ∈ (0, π/2), and since [tex]2^{-n}[/tex] → 0 as n → ∞, we have [tex]\tan(2^{-n})[/tex] → tan(0) = 0, which implies that the series [tex]\tan(2^{-n})[/tex] is convergent.

To learn more about convergence of series, visit the link:

https://brainly.com/question/15415793

#SPJ1

The range of function is values on the y-axis: R=[-7,2].

A function is a mathematical concept that describes the relationship between two sets of numbers. It is a rule that assigns to each input (or element in the domain) exactly one output (or element in the range). In simpler terms, a function is like a machine that takes in a number and produces another number as output, according to some specific rules. The input is usually denoted by x, and the output by f(x), which is read as "f of x". Functions can take many forms, such as linear, quadratic, trigonometric, exponential, logarithmic, and more. They are widely used in mathematics, science, engineering, and many other fields to model and analyze various phenomena.

Here,

To find the range of a function, you need to determine all possible output values of the function. Start by identifying the function's domain, which is the set of all possible input values of the function. Once you know the domain, apply the function to each input value in the domain and record the corresponding output values. Once you have a list of output values, identify the smallest and largest values in the list. These values represent the range of the function. For example, consider the function f(x) = 2x + 1. The domain of this function is all real numbers.

To find the range, apply the function to several input values in the domain:

f(-3) = -5

f(-2) = -3

f(-1) = -1

f(0) = 1

f(1) = 3

f(2) = 5

f(3) = 7

These output values give us a set of possible output values, which are {-5, -3, -1, 1, 3, 5, 7}. The smallest value in the set is -5 and the largest value is 7, so the range of the function is [-5, 7].

Note that for some functions, it may be difficult or impossible to find the exact range. In such cases, you can use techniques such as graphing or calculus to estimate the range.

To know more about function,

https://brainly.com/question/28193995

#SPJ1

Answer:

bottom two

Step-by-step explanation:

if "=", equation

if no "=", expression

Answer:

The ones without an equal sign.

Hope this helps!

Step-by-step explanation:

4x - 7 = 5

4x - 7 is the expression

4x, 7, and 5 are terms

4x - 7 = 5 is the equation

Answer:

Step-by-step explanation:

Your sister can use the formula for calculating the present value of an annuity to determine how much she can withdraw each year.

The formula for the present value of an annuity is:

PV = Payment x (1 - (1 + r)^-n) / r

Where:

- PV is the present value of the annuity

- Payment is the amount of each withdrawal

- r is the annual interest rate

- n is the number of periods (in this case, 25 years)

We can rearrange this formula to solve for Payment:

Payment = PV x r / (1 - (1 + r)^-n)

We know that your sister has R375 000 to start with, and she wants to end up with zero in 25 years. So, her present value (PV) is R375 000, and we can assume her future value (FV) is zero.

Using the future value formula, we can calculate the interest rate she needs to earn in order to end up with zero in 25 years:

FV = PV x (1 + r)^n

0 = 375000 x (1 + r)^25

(1 + r)^25 = 1

1 + r = (1)^1/25

r = 0

This means that your sister needs to withdraw all of her money over the 25 years in order to end up with zero at the end.

Her withdrawal each year would be:

Payment = PV x r / (1 - (1 + r)^-n)

Payment = 375000 x 0.08 / (1 - (1 + 0.08)^-25)

Payment = R34,028.82 per year

Your sister can withdraw R34,028.82 at the beginning of each year for the next 25 years, and she will end up with zero at the end, assuming she earns an 8% return on her invested funds.

Step-by-step explanation:

the perimeter is the sum of the lengths of all outside sides.

at the top is a triangle.

at the bottom is a rectangle.

the triangle looks like an isoceles triangle (both legs are equal), but the given measurement tells us otherwise.

if it were isoceles, the height would split the baseline into 2 equal halves (20/2 = 10ft).

per Pythagoras the 12 ft Hypotenuse would be

Hypotenuse² = 10² + 10² = 100 + 100 = 200

Hypotenuse = sqrt(200) = 14.14213562... and NOT 12 ft.

so, we need to calculate the actual part of the 20ft baseline (again Pythagoras) :

12² = 10² + part²

144 = 100 + part²

44 = part²

part = sqrt(44) = 6.633249581... ft

that means the 2nd part of the baseline is

20 - 6.633249581... = 13.36675042... ft

and we get the second leg of the large triangle again via Pythagoras :

leg² = 10² + 13.36675042...² = 100 + 178.6700168...

leg² = 278.6700168...

leg = sqrt(278.6700168...) = 16.69341238... ft

we need to sum up both legs of the triangle, 2 widths and one length of the rectangle, as the triangle base line and the second length of the rectangle cover each other up, and are not visible to the outside of the combined object.

P = 12 + 16.69341238... + 8 + 8 + 20 = 64.69341238... ft ≈

≈ 64.69 ft

Answer: 5kg

Step-by-step explanation:

If Ms. Walker has 15 kilograms of clay that she wants to distribute evenly among 3 students, all you need to do is divide 15 by 3. Doing so, we get:

15 kg / 3 = 5 kg

Therefore, each student will receive 5 kilograms of clay.

The mass of clay that each student will get is 5kg.

Here, the given questions ask for a solution that deals with the concept of  the basic principle of division. hence implementing the principle we can see that,

The given total amount of clay by Ms. walker is 15 kilograms(kg).

Furthermore, this total amount of clay needs to be divided equally between the  3 students.

Then, let the mass of clay given to each student equally be denoted by M in  the equation to find out the solution can be written as

M = Total amount of clay ÷ Total number of students

Then,

M = 15 ÷ 3

M = 5 kg

Therefore, The mass of clay that each student will get is 5kg.

To learn more about Simple Division,

https://brainly.com/question/941863

Answer:

2 hope that helps

Step-by-step explanation:

Answer:

To evaluate this limit, we can factor out the highest power of x from the numerator and denominator, which is x^14. Then, we can divide both the numerator and denominator by x^14. This gives:

lim x→∞ (6x^14 + 8x^11 + 37x^14) / x^14

= lim x→∞ (6x^14 / x^14 + 8x^11 / x^14 + 37x^14 / x^14)

= lim x→∞ (6 + 8 / x^3 + 37)

= 6 + 0 + 37 (since as x approaches infinity, 8/x^3 approaches zero)

= 43

Therefore, the value of the limit is 43.

Explanation:

Any company that has an online presence (eg: website) needs to take cybersecurity seriously. This is safeguard their customers against online criminals, and also keep their employees safe. Cybersecurity isn't limited to government roles or defense contractor roles only.

The system is inconsistent and has no solution. Therefore, the answer is "inconsistent".Since the last row is of the form [0 0 0 | b], where b is nonzero (b=7

To determine whether the system of equations represented by the given matrix has a solution, we can use row operations to put the matrix into reduced row echelon form. If the resulting matrix has a row of the form [0 0 ... 0 | b], where b is nonzero, then the system is inconsistent and has no solution. If there are any free variables in the reduced row echelon form, then the system has infinitely many solutions and is dependent. If there are no free variables and no rows of the form [0 0 ... 0 | b], then the system has a unique solution and is independent.

Using row operations, we can put the given matrix into reduced row echelon form as follows:

[tex][1 -3 1 4 | 4] (R1)[3 2 1 | 3] (R2)[-6 -4 -2 | 1] (R3)[/tex]

([tex]R2 - 3*R1) - > R2:[/tex]

[tex][1 -3 1 4 | 4] (R1)[0 11 -2 |-9] (R2)[-6 -4 -2 | 1] (R3)(R3 + 6*R1) - > R3:[1 -3 1 4 | 4] (R1)[0 11 -2 |-9] (R2)[0 -22 4 | 25] (R3)(R3 + 2*R2) - > R3:[1 -3 1 4 | 4] (R1)[0 11 -2 |-9] (R2)[0 0 0 | 7] (R3)[/tex]

Learn more about matrix  here:

https://brainly.com/question/29861416

#SPJ1