An equation is shown below:

5x + 3(x − 5) = 6x + 2x − 15

Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)

Part B: Name one property you used to solve this equation. (4 points)

Your answer:

Answer:

(a)    T(t) = 60 + [tex]38.6e^{-0.1947t}[/tex]

(b).    t≅ 6 hours

Step-by-step explanation:

Find detailed explanation the above answer.

Step-by-step explanation:

The centroid O cuts every median in the ratio 2:1. The distance between a vertex and the centroid is twice the distance between the centroid and the midpoint of the opposite side.

Therefore: |OD| = 2|OCI

3x-2=2(5x)

3x-2=10x

7x=-2

x=(-2/7)

Answer:

Step-by-step explanation:

In the question we have given volume of Sphere that is 562.5 π in³ and we have asked to find the radius of given sphere. We know that the volume of sphere ,

[tex] \blue{ \boxed{ \rm{Volume \: of \: Sphere = \frac{4}{3} \pi r {}^{3} }}}[/tex]

So equating it with given volume for finding the radius of sphere :

[tex] \longmapsto \: \frac{4}{3} \pi r{}^{3} = 562.5\pi[/tex]

Step 1 : Cancelling π as it was present in both side :

[tex]\longmapsto\:\frac{4}{3} \cancel{\pi }r{}^{3} = 562.5 \cancel{\pi}[/tex]

Step 2 : Transposing 4/3 to right hand side :

[tex]\longmapsto \: r {}^{3} = 562.5 \times \frac{3}{4} [/tex]

Step 3 : Multiplying 562.5 with 3 :

[tex]\longmapsto \:r {}^{3} = \frac{1687.5}{4} [/tex]

Step 4 : Dividing 1687.5 by 4 :

[tex]\longmapsto \:r {}^{3} = 421.875[/tex]

Step 5 : Finding cube root of 421.875

[tex]\longmapsto \:r = \sqrt[3]{421.875} [/tex]

Step 6 : We get :

[tex]\longmapsto \: \red{ \boxed{r = 7.5}}[/tex]

Answer:

the answer is -85 good luck on your test or honework :)

Answer:

Question 1:

So you have 80 gummies and take 2 a day for 40 days

2(40) = 80

So at the end of 80p days, 0 gummies will be left

Question 2:

Now you have 90 and take 3 a day for 40 days

3(40) = 120

You will not have enough to cover the entire 40 days if you take 3 a day.

Hope this helps :)

Answer:

See below ~

Step-by-step explanation:

Question #1

Question #2

Answer:

282.3 gallons

Step-by-step explanation:

if needed you can round to 282

Answer:

here

Step-by-step explanation:

The distance between the earth and the moon is approximately 384000 km. To Do: Express the distance in meters in exponential notation. Therefore the answer is 3.84 × 10 8 m.

Answer:

c po

because that is the answer in the bakc of my module hope its help

Answer:

y<7

Step-by-step explanation:

3y-10 < 11     add 10 to both sides of the equation

3y < 21      divide by 3

y < 7

Many out there got different opinions on this especially with the influence of religion and science.

LIFE is about learning the best in you and others. Its about loving, being kind and to be someone of great worth who at the the end of the day makes a mark of positivity in every life encountered. Its about living a life of meaning and that's all that matters. Every religion holds it's own perspectives and it's most important that you choose to believe in a religion that helps better Express your faith.

remember that there'll be a day you sit back and look at the life you "lived"

make sure that the choices you make now don't bring ANY regrets.

Answer:

Step-by-step explanation:

1Bothlineparrell
The The 80-(A

Answer:

1

Step-by-step explanation:

Factors of 21: 1, 3, 7, and 21

Factors of 64: 1, 2, 4, 8, 16, 32, and 64

These numbers do not share any other factors other than 1

every other person has one

Equation of the graph: x = 3

Since the graph is a vertical line, the equation must be 'x ='

You will get the 3 by seeing its horizontal position on the x-axis

Hope that helps!

Answer: 30 degrees

Step-by-step explanation:

90 degrees / 3 angles = 30 degrees

Using proportions, it is found that:

A proportion is a fraction of a total amount.

Item a:

The sum of the frequencies is of 1, hence, the table is completed with 1 - (0.55 + 0.35) = 0.1.

Item b:

Considering that there were n games, we have that:

The difference was of 15, hence:

0.55n - 0.35n = 15

0.2n = 15

n = 15/0.2

n = 75

The team played 75 games.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

ahello

Step-by-step explanation:

cameo homeo romeo can you be my juliet

Answer:

y-5=9/10⋅(x−4)

Step-by-step explanation:

To find the slope between two points:

 ⇒ must know the slope's formula

            [tex]\frac{y2-y1}{x2-x1}[/tex]

Let's consider the information given

  ⇒ given two points ⇒ (4, -6) and (-3,1)

          (x1, y) --> (4, -6)

          (x2, y2) --> (-3, 1)          

Let's calculate the slope:

  [tex]slope = \frac{1--6}{-3-4} =\frac{7}{-7} =-1[/tex]

Thus the slope is -1

Hope that helps!

Answer:

B.

Mean: 16.1

Median: 16

Mode: 16

Step-by-step explanation:

First, order the numbers in the data set from least to greatest:

[tex]14 , 14 , 14 , 14 , 15 , 15 , 15 , 15 , 15 , 16 , 16 , 16 , 16 , 16 , 16 , 17 , 17 , 17 , 19 , 19 , 19 , 19[/tex]

First, find the mean. The mean of a data set can be found by adding all the numbers together and dividing by the amount of numbers in the set:

[tex]\frac{14 + 14 + 14 + 14 + 15 + 15 + 15 + 15 + 15 + 16 + 16 + 16 + 16 + 16 + 16 + 17 + 17 + 17 + 19 + 19 + 19 + 19}{22} = \frac{354}{22}[/tex]

Next, simplify by dividing:

[tex]\frac{354}{22} = \frac{177}{11} = 16 \frac{1}{11} or ~16.1[/tex]

Mean: 16.1

Next, find the median. The median is the number(s) directly in the middle. If there is a even amount of number in the data set, find the mean of the two median numbers:

Median: 16 , 16

Median = [tex]\frac{16 + 16}{2} = \frac{32}{2} = 16[/tex]

Median = 16

Next, find the mode. The median is the number that shows up the most. In this case, it is 16, which appears 6 times, 1 more time then the next number that appears the most 15, which appears 5 times.

Mode: 16

~

If you are asked about range, range would be the greatest digit value subtracted by the least digit value. In this case, it would be 14 & 19:

19 - 14 = 5

Range: 5

~

Answer:

180 units^2

Step-by-step explanation:

The formula to find the area of a sphere is:

A=4(pi)(r)^2

A sphere with radius 2r has an area = 4π(2r)² = 4π.4r² = 16πr²

The ratio of the larger sphere to the smaller = 16πr² : 4πr² = 4 : 1

If the area of the smaller sphere is 45 units then the area of the larger sphere is 45 x 4 = 180 units^2.

hope this helps :)

Answer:

Step-by-step explanation:

Answer:

1)  True, True, False

Rewritten statement:  46,013.86 cm³ of water was used to fill 40 balloons

2) False, True, True

Rewritten statement:   The formula [tex]\sf V= \sf \dfrac43 \pi (2.4)^3[/tex] can be used to find the volume of the model of Earth.

3) True, False, True

Rewritten statement:  The volume of all the basketballs is 13,467.62 in³

Step-by-step explanation:

[tex]\textsf{Volume of a sphere}=\sf \dfrac43 \pi r^3 \quad \textsf{(where r is the radius)}[/tex]

Given:

Substituting the given radius into the formula:

[tex]\begin{aligned}\implies \sf V & = \sf \dfrac43 \pi (6.5)^3\\\\& =\sf \dfrac{2197}{6} \pi \\\\& = \sf 1150.35\: cm^3 \:(nearest\:hundredth)\end{aligned}[/tex]

[tex]\textsf{Volume of 40 balloons}=\sf 40 \times \dfrac{2197}{6} \pi=46013.86\:cm^3\:(nearest\:hundredth)[/tex]

Rewritten statement:  46,013.86 cm³ of water was used to fill 40 balloons

-------------------------------------------------------------------------------------------------------

[tex]\textsf{Volume of a sphere}=\sf \dfrac43 \pi r^3 \quad \textsf{(where r is the radius)}[/tex]

Earth

Given:

Substituting the given radius into the formula:

[tex]\implies \sf V= \sf \dfrac43 \pi (2.4)^3[/tex]

[tex]\implies \sf V=57.91\:cm^3\:(nearest\:hundredth)[/tex]

Rewritten statement:  

The formula [tex]\sf V= \sf \dfrac43 \pi (2.4)^3[/tex] can be used to find the volume of the model of Earth.

Saturn

Given:

Substituting the given radius into the formula:

[tex]\implies \sf V= \sf \dfrac43 \pi (22.8)^3[/tex]

[tex]\implies \sf V=49647.02\:cm^3\:(nearest\:hundredth)[/tex]

Difference between models= 49,647.02 - 57.91 = 49,589.11 cm³

-------------------------------------------------------------------------------------------------------

[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

Substituting the given values into the formula:

[tex]\implies \sf V=\pi (21)^2(54)[/tex]

[tex]\implies \sf V=23814\pi[/tex]

[tex]\implies \sf V=74813.89\:in^3\:(nearest\:hundredth)[/tex]

[tex]\textsf{Volume of a sphere}=\sf \dfrac43 \pi r^3 \quad \textsf{(where r is the radius)}[/tex]

Given:

[tex]\begin{aligned}\textsf{Volume of all 30 basketballs} &=\sf 30 \times \dfrac{4}{3}\pi (4.75)^3\\ & =\sf 13467.62\:in^3\:(nearest\:hundredth)\end{aligned}[/tex]

Rewritten statement:  The volume of all the basketballs is 13,467.62 in³

Empty space in the container = volume of container - volume of basketballs

⇒ 74813.89 - 13467.62 = 61,346.27 in³

Answer:

(7x+9)(x-5)

Hope this helps!

Answer:

The answer is

Step-by-step explanation:

142

=

3

x

+

7

=

5

x

⋅

9

=

45

x

142

°

=

45

x

Answer:

108m

Step-by-step explanation:

2 sides are 30m long and 2 sides are 24m long.

Add all 4 sides of the playground to find the perimeter.

30m + 24m + 30m + 24m = 108 m

Answer:

First, the student performed what was inside of the parentheses and was exponential, which is correct. We know this because of the rules called order of operations, outlined by PEMDAS, which tells us to perform mathematical operations in the following order: parentheses, exponents, multiplication, division, addition, subtraction.

So by the rules I just outlined, next the student should have performed the multiplication, but instead performed subtraction, which is incorrect.

The following is the correct simplification of the expression:

23 - 8 times 2 + 3 by the power of 2

So first we should perform parentheses, but there are none. So we move to the next option in the list, which is exponents, which we do have (3^2).

23 - 8 * 2 + 3^2

23 - 8 * 2 + 9

Next in PEMDAS comes multiplication and division. This means the next step in simplifying the expression is to evaluate 8*2.

23 - 16 + 9

Next in PEMDAS is addition, so we should perform the operation -16 + 9.

23 - 7

Finally, the last step in PEMDAS is to simplify the remaining operation (subtraction).

16

Therefore, the student did the first step correctly but performed the second step incorrectly. The final answer should be 16 after simplification.

Hope this helps!

Please I need Brainliest.

Answer:

29

Step-by-step explanation:

Substitute v = 15 into 14 + v

14 + 15 = 29

Hope this helps :)

Answer:

16 days

Step-by-step explanation: