Sixteen is divided by the sum of the number q and 1. The result is four. What is the number.

The number is 3.

Step-by-step explanation:

Ok, so here we're solving for a variable. The equation would be:

16 ÷ (q + 1) = 4

We can rewrite this as:

4(q + 1) = 16

First, you need to isolate q + 1. To do that, you to the inverse of the operation. IN this case, division is the inverse of multiplication. So:

4(q + 1) = 16

÷4           ÷4

     q + 1 = 4

Alright, now we isolate q. The inverse of addition is subtraction, so we do this:

q + 1 = 4

  - 1   - 1

    q = 3

Now for our check:

16 ÷ (q + 1) = 4

16 ÷ (3 + 1) = 4

16 ÷ 4 = 4

4 = 4

q = 3

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation: