<u>1. </u>Subtract 24 from both sides
-3x = -27 - 24
Simplify -27 - 24 to -51
-3x = -51
Divide both sides by -3
x = -51/-3
Two negatives make a positive
x = 51/3
Simplify 51/3 to 17
<u>x = 17</u>
<u>2.</u> Regroup terms
n/5 - 17 = 33
Add 17 to both sides
n/5 = 33 + 17
Simplify 33 + 17 to 50
n/5 = 50
Multiply both sides by 5
n = 50 * 5
Simplify 50 * 5 to 250
<u>n = 250</u>
Equality d is true, the others aren't.
Answer:
146.5 sq. feet.
Step-by-step explanation:
Area of the deck = Large Square (with 15 ft side) - Circular Pool (with radius 10/2=5)
Large Square area = 
Circular Pool area = 
Thus, area of deck surrounding pool = 
sq. feet
Answer:
Step-by-step explanation:
The length and the width are based on the height.
height: h
length: 5h + 2
width: 3h - 2
If the sum of those is 126, then:
h + 5h + 2 + 3h - 2 = 126 and
9h = 126 so
h = 14
length is 5(14) + 2 which is 72
width is 3(14) - 2 which is 40
The volume is found by multiplying the length times the width times the height:
14 * 72 * 40 = 40,320 inches cubed
5x+14-2x=9-(4x+2)
3x+14=9-4x-2
3x+14=7-4x
7x+14=7
7x=-7
x=-1
Final answer: x=-1
