Answer:
b=7
Step-by-step explanation:
<h3>
Answer: 19</h3>
==============================================================
Explanation:
T is the midpoint of PQ, which means T splits PQ into two equal parts. Those parts being PT and TQ.
Set them equal to each other and solve for x.
PT = TQ
3x+7 = 7x-9
3x-7x = -9-7
-4x = -16
x = -16/(-4)
x = 4
So,
PT = 3x+7 = 3*4+7 = 19
TQ = 7x-9 = 7*4-9 = 19
Both PT and TQ are 19 units long to help confirm the answer.
ANSWER

EXPLANATION
The volume of a rectangular prism is given by the formula,

We substitute the dimensions to obtain,

The volume of the rectangular pyramid is,

Equating the two volumes gives,

We divide through by 6×12 to get,

We solve for x to obtain,

Answer:
x = 4 ± 
Step-by-step explanation:
Given
x² - 8x = 3
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = 3 + 16
(x - 4)² = 19 ( take the square root of both sides )
x - 4 = ±
( add 4 to both sides )
x = 4 ±
Answer:
Step-by-step explanation:
$9 for 3 attendees is $3 a person or 9:3 ratio
$18 for 6 attendees still $3 a person and goes by the 9:3 ratio, it's 18:6