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Alecsey [184]
3 years ago
9

7. 3x + 4(x – 6) – 3(x – 7) (1 point) 4x – 45 4x – 3 10x – 3 10x + 45

Mathematics
1 answer:
charle [14.2K]3 years ago
3 0

Answer:

  4x -3

Step-by-step explanation:

The distributive property applies.

  3x +4(x -6) -3(x -7)

  = 3x +4x +4(-6) -3x -3(-7) . . . . use the distributive property

  = 3x +4x -24 -3x +21 . . . . . . . . simplify

  = x(3 +4 -3) +(-24 +21) . . . . . . . group like terms, use the distributive property again

  = 4x -3 . . . . simplify

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Veronica is choosing between two health clubs after how many months will the total cost for each health club be the same
Assoli18 [71]

Question:

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

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