Get Fit Gym currently has 96 members participating in their aerobic classes, and this number has been increasing by 2 people per
week. The cycling classes have a total of 80 members who participate, and this number
has been decreasing by 3 people per
week. In how many weeks will the number of people working out in the aerobics classes be double the number of people
attending the cycling classes?

Answers

Answer 1

Step-by-step explanation:

mx + b = y

 

2x + 96 = y

-3x + 80 = z

 

What we want is y to be twice z, or y = 2z

If we're going to make 2z, then that means its equation needs to be doubled as well:

2x + 96 = 2(-3x + 80)

2x + 96 = -6x + 160

8x = 64

x = 8

 

Now to check our answer:

2 * 8 + 96

16 + 96 = 112

 

-3 * 8 + 80

-24 + 80 = 56

56 * 2 = 112

 

hope it helps :)


Related Questions

pls help me with number 12 I don’t know the answer I have been trying for a long time pls help

Answers

Answer:

m=1/1 or just 1, b=(0,3.5) equation:y=x+3.5

Step-by-step explanation:

The pattern is as x increases by 1, so does y by the same amount, 1. This means the line is at a 45 degree angle increasing vertically and horizontally at the same pace. However, it is moved up 3.5 units in the y direction because when x=0, y=3.5

Factor 16a + 72 to find the equivalent expression

Answers

Answer:

[tex]=8\left(2a+9\right)[/tex]

Step-by-step explanation:

[tex]16a+72[/tex]

[tex]\mathrm{Rewrite\:}16\mathrm{\:as\:}8\cdot \:2[/tex]

[tex]\mathrm{Rewrite\:}72\mathrm{\:as\:}8\cdot \:9[/tex]

[tex]=8\cdot \:2a+8\cdot \:9[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}8[/tex]

[tex]=8\left(2a+9\right)[/tex]

Hence, the correct answer is  [tex]=8\left(2a+9\right)[/tex]

Answer:

8(2a+9)

Step-by-step explanation:

Hope this helps

Use the graph to determine iffis odd, even, or neither
O A. Even
A
OB
Neither
OC. Odd

Answers

Answer: it is neither

ch rectangle. Then write an equation and solve it.
and width of each rectangle.
- 4
A=64
*-4
loc- 4
*-4

Answers

(x-4)^2 = 64
x-4 = 8
x = 12

theee are 372 pieces of candy in the bag Lucy needs to divide the candy up into smaller bags. she wants to put the same number of pieces in each small bag. how many small bags could lucy use? what is the number sentence? ​

Answers

Answer:

The number of small bags that Lucy can use with having an even amount of can't in them is hundred and eighty six bags were each bag has two pieces of candy.

Step-by-step explanation:

372 ÷ 2 = 186

Therefore

372 ÷ 186 = 2

two candies in each bag means 186 bags of candy.

Find the percent of increase from 55 people to 70 people. Round to the nearest tenth of a percent if necessary.

Answers

Answer:

55

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIEST TY
You go to the doctor and he gives you 15 milligrams of radioactive dye. After 20 minutes, 7.25 milligrams of dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm.

If the detector will sound the alarm if more than 2 milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived?

Give your answer to the nearest minute.

How many minutes will you spend at the doctor's office?

Answers

Answer:

 =34 minutes.

Step-by-step explanation:

Done according to my own understanding!

15mg - 7.25mg = 7.75mg

   7.75mg / 20min = 0.3875mg per minute

       7.25mg - 2mg = 5.25mg

             5.25mg / 0.3875mg = 13.5483871 minutes

                     13.5483871 minutes + 20 minutes = 33.5483871 minutes

                                  =34 minutes.

Given that n is a positive number, write, in a symbolic statement, ‘the square of a positive number decreased by 10 is 6’​

Answers

Answer:

(4^2) -10

16- 10

= 6

Step-by-step explanation:

the square of 4 is 16 so you'll subtract 10 from it and it will be left with 6

Let V be the volume of a right circular cone of height h=14 whose base is a circle of radius R=2. An illustration a right circular cone with horizontal cross sections. The right circular cone has a line segment from the center of the base to a point on the circle of the base is labeled capital R, and the horizontal line from the vertex is labeled h.

Required:
Use similar triangles to find the area of a horizontal cross section at a height y.

Answers

Answer:

The area of a horizontal cross section at a height is [tex]\pi\times(2-\dfrac{y}{7})^2[/tex]

Step-by-step explanation:

Given that,

Height = 14 m

Radius = 2 m

Let V be the volume of a right circular cone

We need to calculate the value of R

Using given data

[tex]\dfrac{h}{r}=\dfrac{h-y}{R}[/tex]

Put the value into the formula

[tex]\dfrac{14}{2}=\dfrac{14-y}{R}[/tex]

[tex]7R=14-y[/tex]

[tex]R=2-\dfrac{y}{7}[/tex]

We need to calculate the area of a horizontal cross section at a height y

Using formula of area

[tex]A=\pi R^2[/tex]

Put the value into the formula

[tex]A=\pi\times(2-\dfrac{y}{7})^2[/tex]

Hence, The area of a horizontal cross section at a height is [tex]\pi\times(2-\dfrac{y}{7})^2[/tex]

The area of the circular cone at height y can be derived as a function, A,

having y as the input variable.

Correct response:

[tex]Area \ of \ horizontal \ cross \ section \ at \ height \ y \ is \ \underline{ A = \pi \times \dfrac{\left(14 - y\right)^2}{7} }[/tex]

Method used for deriving the area

The given parameters are;

Shape of figure = Right circular cone

Height of the cone, h = 14

Base radius, R = 2

Required:

The area of a cross section at a height y using similar triangles

Solution:

We have using similar triangles;

[tex]\mathbf{\dfrac{h}{h - y} }= \dfrac{R}{r} [/tex]

Which gives;

[tex]\mathbf{\dfrac{14}{14 - y}} = \dfrac{2}{r} [/tex]

Therefore;

2·(14 - y) = 14·r

28 - 2·y = 14·r

[tex]r = \dfrac{28 - 2 \cdot y}{14} = 2 - \dfrac{y}{7} [/tex]

The horizontal cross sectional area, A = π × r²

Therefore;

[tex]Area \ of \ the \ cross \ sectional \ area,\ A = \pi \times \left(2 - \dfrac{y}{7} \right) = \underline{ \pi \times \dfrac{\left(14 - y \right)^2}{7} }[/tex]

Learn more about a circular cone here:

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The wholesale price for a shirt is $6.50. A certain department store marks up the wholesale price by 70%. Find the price
Round your answer to the nearest cent, as necessary.
Х
6
?
Explanation
Check

Answers

Answer:

11.05$

Step-by-step explanation:

Given the wholesale price of pillow is $6.50

Price in department store is 70% more than whole sale =1.7 times the wholesale

Price in department store =1.7*6.5=$11.05

what is the distance between points (4,0) and (8,-5)

Answers

Answer:

(4,5)

Step-by-step explanation:

1 Solve the expression 8 x 5 – 12 x + 5 using PEMDAS. 3

39

40

41

42​

Answers

40, you need to start my multiplying 8x5

Answer:

39

Step-by-step explanation:

The tuition cost for part-time students taking C credits at Stonewall College is given by 300+300C dollars.

A-Find the tuition cost for 13 credits. Do not use dollar signs or commas in your answer.
B-If the tuition cost is $3300, how many credits are taken?

Answers

Answer:

[tex]part \: a. \\ t = 300+300(13) = 300+300C = \\300 + 3,900 = 4,200 \\ t = 4,200[/tex]

[tex]part \: b. \\ 3300 = 300+300(c) \\ 3300 - 300 =300(c) \\ 3000 \div 300 = c = 10 \\ c = 10[/tex]

The tuition cost for 13 credits is $4,200.And, the number of credits that are taken is 10.

a.

The tuition cost for 13 credits is

= 300 + 300C

= 300 + 300 (13)

= 300 + 3900

= 4,200 dollars.

b.

And, the number of credits is

$3,300 = 300 + 300C

$3,300 - 300 = 300C

$3,000 = 300C

C = 10 credits

Therefore we can conclude that

The tuition cost for 13 credits is $4,200.And, the number of credits that are taken is 10.

Learn more about the credit here: brainly.com/question/1475993

Solve for x:
3(x-4+1b)=8

Answers

Step-by-step explanation:

[tex]3\left(x-4+1\cdot \:b\right)=8[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]

[tex]\frac{3\left(x-4+1\cdot \:b\right)}{3}=\frac{8}{3}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x-4+b=\frac{8}{3}[/tex]

[tex]\mathrm{Subtract\:}b\mathrm{\:from\:both\:sides}[/tex]

[tex]x-4+b-b=\frac{8}{3}-b[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x-4=\frac{8}{3}-b[/tex]

[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]

[tex]x-4+4=\frac{8}{3}-b+4[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=-b+\frac{20}{3}[/tex]

[tex]\\ \rm\Rrightarrow 3(x-4+b)=8[/tex]

[tex]\\ \rm\Rrightarrow 3x-12+3b=8[/tex]

[tex]\\ \rm\Rrightarrow 3x+3b=20[/tex]

[tex]\\ \rm\Rrightarrow x+b=20/3[/tex]

[tex]\\ \rm\Rrightarrow x=20/3-b[/tex]

The sum of two numbers is 33. One number is 2 times as large as the other

Answers

Answer:

11 and 22

Step-by-step explanation:

x + y = 33

y = 2x

x + 2x = 33

3x = 33

x = 11

The sum of 33 would be 11 and 22

What is the mean? If the answer is a decimal, round it to the nearest tenth. 46026594

Answers

Answer:

28

With the mean, you have to add up the scores and subtract by the total values.

The only score number I know of is 20, so I just added up the values.

Hope this helps, let me know.

Dorothy purchased a used vehicle that depreciates under a straight line
method. The initial value of the car is $8400 and the salvage value is $400. If the car is expected to have a useful life of another 5 years, how much will it depreciate each year?

Answers

Answer:

1,600

Step-by-step explanation:

did the math and this is what i got

my h shopping bill come to fourteen pounds and eight-six peace how much change should i receive from 20 pounds note

Answers

Answer:

5 pounds 14 pence

50 -19= 31

Step-by-step explanation:

The distance between

-2 and 4
5 and -3
8 and -12
-9 and 17

Answers

Answer:

1. 6

2. -8

3. -4

4. 26

Step-by-step explanation:

yk how it's done

answer quick! ......................

Answers

Answer:

10 units up

Step-by-step explanation:

An example of this is where the graph changes from (0,0) to (0,10)

Have an amazing day!

PLEASE RATE!!

Can you please help me thank you

Answers

VACANY is the word that means open or available position.

Simplify x - 1 / 5(x - 1)^2

Answers

Answer:

1/5(x-1)

Step-by-step explanation:

cancel x-1

then we get

1/5(x-1)

If not understand comment below.

Elsa earns $140 for working 20 hours, what is else's rate of pay each hour? how much would she get if she worked 35 hours for the same rate of pay?

Answers

Answer:

$245

Step-by-step explanation:

The hourly pay that Elsa earns is 140/20 = $7 per hour

So, the total pay that Elsa will earn for 35 hours is 7*35 = $245

Given the following functions, find the indicated values.
f(x) = 6 - 2x

(a) f(-3)
(b) f(0)
(c) f(4)


(a) f(-3)=blank

plz help

Answers

Answer:

f(-3)=6-2x is f(-3)=6-2(-3) this equals f(-3)=12

B f(0)=6

C f(4)= -2

Step-by-step explanation:

Bacisly you would just have to sub in the x portion of your problem. Then you can solve like normal

function is a relationship between inputs where each input is related to exactly one output.

The value of f(-3) is 12

The value of f(0) is 6

The value of f(4) is -2

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = 6 - 2x

Substitute x = -3, 0, and 4 on f(x).

f(-3) = 6 - 2 x (-3) = 6 + 6 = 12

f(0) = 6 - 2 x 0 = 6 - 0 = 6

f(4) = 6 - 2 x 4 = 6 - 8 = -2

The inputs are -3, 0, and 4.

The outputs are 12, 6, and -2.

Thus,

The value of f(-3) is 12

The value of f(0) is 6

The value of f(4) is -2

Learn more about functions here:

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Find the length of The side of a square with area 225square units

Answers

Answer:

Step-by-step explanation:

Let length of side = x

area = x²

so x² = 225 = 15²

then x = 15 units

Answer:

Formula for area of square;

A = a^2

where a represents the length of one side of the square, so;

A = a^2

given that the total area is 225,

225 = a^2

√225

= 15

w2 – 2w
Complete square to make perfect square trinomial

Answers

Answer:

w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)²

Step-by-step explanation:

(a - b)² = a² - 2ab + b²

We have

w² - 2w = w² - 2(w)(1)

We must add 1²

w² - 2(w)(1) + 1² = (w - 1)²

The answer is ,w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)², the perfect square.

What is perfect square?

A perfect square is a number, from a given number system, that can be expressed as the square of a number from the same number system. Examples of Numbers that are Perfect Squares. 25 is a perfect square. 25 is a natural number, and since there is another natural number 5, such that 52 = 25, 25 is a perfect square.

Here, we have,

(a - b)² = a² - 2ab + b²

We have

w² - 2w = w² - 2(w)(1)

We must add 1²

w² - 2(w)(1) + 1² = (w - 1)²

Hence, The answer is ,w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)², the perfect square.

To learn more on perfect square click:

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Find the solution set to the given equation. Answer only in numbers.
4x2 – 16x = 0

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{4x^2 - 16x = 0}\\\large\text{FACTOR the LEFT SIDE of the given equation.}\\\mathsf{\rightarrow 4x(x - 4) = 0}\\\large\text{After step 1 is complete, set the factors to equal to 0.}\\\mathsf{\rightarrow 4x = 0\ or\ x - 4 = 0}\\\larg\text{Lastly, you have to SIMPLIFY new equations you have now.}\\\mathsf{\rightarrow x = 0\ or\ x = 4}\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x = 0\ or\ x = 4}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

how many apples would you have if you buy 256-123x234/78

Answers

135 I hope this helps :)

Answer:

135 because if you put it in a caluclator that is what you get

       

Consider the following equation. 4x + 2 = 8x - 5 Which equation and explanation could represent a step in finding the value of x? (4x) + 2 = * (8x) - 5 Use the multiplication property of equality to simplify the variable term on the left side of the equation. 4x + 2-5= 8x - 5 + 5 Use the addition property of equality to move the constants to one side of the equation. 11 / + 2 (4x + 2) = | (8x - 5) Use the multiplication property of equality to simplify the variable terms on both sides of the equation. O 4x + 2 - 4x = 8x - 5 - 4x Use the addition property of equality to move the variables to one side of the equation.​

Answers

Answer:

Step-by-step explanation:

Given the expression 4x+2 = 8X-5. To find the value of x, we need to follow the steps;

Sep 1:

Add 5 to both using addition property to move 5 to both sides

4x+2+5= 8x-5+5

4x+7 = 8x

Step 2:

Collect like terms

4x-8x = -7

-4x = -7

Step3:

Divide both sides by -4

-4x-4 = -7/-4

x = 7/4

What is the slope of the line passing through the points (5, 3) and (5, -9)? *

Answers

Answer:

Slope is 0

Step-by-step explanation: x stood the same so therefore the slope is 0 or infinite

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