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3 years ago

Planet Fitness charges a one-time application fee of $50 plus $30 per session for a

Mathematics

1 answer:

Vsevolod [243]3 years ago

6 0

Answer:

When the number of sessions is equal to 10, the total cost is the same in the two plans

Step-by-step explanation:

Let

y ---> the total cost

x ---> the number of sessions

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

Planet Fitness

we have

The slope is equal to

$m=\$30\ per\ session$

The y-intercept or initial value is equal to

$b=\$50$

substitute

$y=30x+50$ ----> equation A

Gold's Gym

we have

The slope is equal to

$m=\$10\ per\ session$

The y-intercept or initial value is equal to

$b=\$250$

substitute

$y=10x+250$ ----> equation B

Equate equation A and equation B

$30x+50=10x+250$

solve for x

$30x-10x=250-50\\20x=200\\x=10$

therefore

When the number of sessions is equal to 10, the total cost is the same in the two plans

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Tadeo is a beekeeper. The table shows the weekly number of bees producing honey in a new hive. Which expression gives the number

Afina-wow [57]

The exponential equation that gives the number of bees in week 12 is of:

$y = 4(3)^{11} = 708588$

<h3>What is an exponential function?</h3>

It is modeled by:

$y = ab^x$

In which:

a is the initial value.

b is the rate of change.

In this problem, considering that the initial week is the first, and the value triples every week, the expression for the number of bees after x weeks is given by:

$y = 4(3)^{x - 1}$

Hence, after 12 weeks, the expression is:

$y = 4(3)^{11} = 708588$

More can be learned about exponential equations at brainly.com/question/25537936

7 0

2 years ago

Read 2 more answers

If a store had 330 video games, and 47% of the games were for Xbox, and 53% were for ps4, then how many xbox and ps4 games are i

Bingel [31]

Answer:

The number of games for Xbox is about 155

The number of games for PS4 is about 175

Step-by-step explanation:

Let us find the numbers of games for Xbox and for PS4 game

∵ There are 330 video games in the store

∵ 47% of them were for Xbox

- Multiply 47% by 330

∴ The number of games for Xbox = 47% × 330

∵ 47% = $\frac{47}{100}$

∴ The number of games for Xbox = $\frac{47}{100}$ × 330

∴ The number of games for Xbox = 155. 1

∴ The number of games for Xbox ≅ 155

∵ 53% of them were for PS4

- Multiply 53% by 330

∴ The number of games for PS4 = 53% × 330

∵ 53% = $\frac{53}{100}$

∴ The number of games for PS4 = $\frac{53}{100}$ × 330

∴ The number of games for PS4 = 174.9

∴ The number of games for PS4 ≅ 175

4 0

3 years ago

What is the difference 7/78 - 3 1/4=

ZanzabumX [31]

<span> here
7 7/8
= [ (8*7) + 7 ] / 8
= (56 + 7) / 8
=63 / 8

similarly,
3 1/4
=[ (4*3) + 1] / 4
= (12 + 1) / 4
= 13/4

----------------------------
now put the values
7 7/8 - 3 1/4
= 63/8 - 13/4
here, take LCM of 8 & 4 which is 8.
now,
[ (1*63) - (2 * 13) ] / 8
= (63 - 26) / 8
= 37/8
= 4 5/8........................[ here, divide 37 by 8 which gives reminder as 5 and divisible value as 4 ]</span>

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3 years ago

Read 2 more answers

What is the approximate surface area of the sphere 15yd?

tekilochka [14]

<span>The surface area of a sphere is equal to [4 x Pi x R^2]. In other words, four multiplied by 3.14 multiplied by the radius squared. If the radius of a sphere is 15 yards, the approximate surface area is [4 x 3.14 x (15x15)] = [12.5 x 225] = [2,812 yd^2]. The surface area of a sphere with radius 15 yd is approximately 2,800 yards.</span>

7 0

3 years ago

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

pogonyaev

By using the general equation for a circle, we will see that the correct options are:

1) This is a circle centered at (-3, - 5) with a radius of 4 units.
2) The center is (-3, 5) and the radius is 2 units.
3) The center is (3, 5) and the radius is 2 units.
4) This is a circle centered at (3, - 5) with a radius of 4 units.

<h3>How to write a circle equation?</h3>

For a circle of radius R and center (a, b), the equation is given by:

(x - a)^2 + (y - b)^2 = R^2

With that in mind, if we look at the first equation:

(x + 3)^2 + (y + 5)^2 = 16 = 4^2

This is a circle centered at (-3, - 5) with a radius of 4 units.

For the second equation:

(x + 3)^2 + (y - 5)^2 = 4 = 2^2

The center is (-3, 5) and the radius is 2 units.

The third equation is:

(x - 3)^2 + (y - 5)^2 = 4 = 2^2

The center is (3, 5) and the radius is 2 units.

The fourth equation is:

(x - 3)^2 + (y + 5)^2 = 16 = 4^2

This is a circle centered at (3, - 5) with a radius of 4 units.

If you want to learn more about circles, you can read:

brainly.com/question/14283575

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2 years ago