Question

72 less than the quotient of a number and -2 is -88Select all the statements that are true about the sentence shown.A.) The equation representing this sentence is 72 - x/-2 = -88 because x/-2 is subtracted from 72.B.) The solution to the equation -40 + x = -8 is equal to the unknown number in the sentenceC.) The solution is 32 because -88 + 72 = -16 and -16 times -2 = 32.D.) The solution to the equation -56 + 8x = 200 is equal to the unknown number in the sentence.

Answer 1

C.) The solution is 32 because -88 + 72 = -16 and -16 times -2 = 32.

Step-by-step explanation

We have that 72 less than the quotient of a number and -2 is 88.

First, let us write the equation from the sentence above.

Let the number be x.

The quotient of x and -2 means x/-2

If we subtract 72 from that quotient, the answer is -88.

Therefore, the sentence is:

`(x)/(-2)\text{ - 72 = -88}`

A cannot be correct because the equation is wrong.

B cannot be correct because the equation does not relate to the sentence given.

C is correct because if we solve for x from the equation, we get 32.

That is:

x/-2 = -88 + 72

x/-2 = -16

Multiply through by -2:

x = -16 * -2

x = 32

D cannot be correct because the equation does not relate to the sentence given.

The only correct option is C.