What number should go into the blank so that the two expressions are equivalent to each other? (Use only the digits 0 - 9 to write the number.) 10 + 5x = x + x + x + __ - 4 + x + x

Given:

The equation is:

To find:

The number for the blank so that the two expressions are equivalent to each other.

Solution:

Let n be the required number for the blank. Then,

On combining like terms, we get

Subtracting 5x from both sides, we get

Adding 4 on both sides, we get

Therefore, the required number of the blank is 14.

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).