Veronica is choosing between two health clubs. after how many months will the total cost for each health club be the same? yoga studio a: membership: $24.00 monthly fee: 21.50. yoga studio b: membership: $41.00 monthly fee: $17.25

Answer:

It takes 4 years for the total cost of each club to become equal

Step-by-step explanation:

Given:

For yoga studio A:

membership: $24.00

monthly fee: 21.50.

For yoga studio B:

membership: $41.00

monthly fee: $17.25

To Find:

Number of months after which the total cost for each health club be the same = ?

Solution:

Let x be the number of months of membership, and y be equal the total cost.

For Yoga club A

y = 21.50 x + 24

For Yoga club B

y = 17.25 x + 41.00

we know that the prices, y , would be equal, we can set the two equations equal to each other.

21.50 x + 24 =17.25 x+ 41.00

Grouping the like terms,

21.50x - 17.25 x= 41.00 - 24

4.25x=17

x= $\frac{17}{4.25}$

x = 4

6 0

3 years ago

I don’t know the answer

Lera25 [3.4K]

The equation for slope is y=mx+b therefore your equation would be y=.5x+2 or y=1/2+2
both of these are correct just the matter of fact of what way your teacher wants you to use :)

6 0

3 years ago

5/6w+21=-1/3(2w-9).

oksian1 [2.3K]

I believe this question logically tells us to find the value of w. The two equations are already equated. Since there is 1 unknown and 1 equation, the system is solvable. The solution is as follows:

5/(6w+21) = -1/3(2w - 9)
5/(6w+21) = -1/(6w - 27)
Cross multiplying the terms:
5(6w - 27) = -1(6w +21)
30w - 135 = -6w - 21
30w + 6w = -21 + 135 = 114
36w = 114
w = 114/36
w = 19/6 or 3.167

7 0

3 years ago

35/100 and 5/100 are proportional right?

maria [59]

In order to know that, you need to divide it from other, if it would be perfect number then your answer will be "YES" & if they not then it will be "NO"

35/100 / 5/100

You can re-write it as:
35/100 * 100/5 = 35/5 = 7

So, they are proportional to each other,.

Hope this helps!

7 0

3 years ago