Answer: V = l w h
Step-by-step explanation:
Hi, to answer this question we have to apply the formula for the volume of a rectangular prism.
Volume of a rectangular prism (V) = Length x Width x Height
Replacing with the values given:
V = l w h
All values are multiplied (didn’t use x as a multiplication symbol to avoid confusion)
Feel free to ask for more if needed or if you did not understand something.
Answer:
x < 7.5
Step-by-step explanation:
Divide by 2 on both sides to find x
2x/2 < 15/2
x <15/2
x<7.5
Answer:
(10, 4, -3)
Step-by-step explanation:
z = -3
y + z = 1
y - 3 = 1
y = 4
x + y - z = 17
x + 4 - -3 = 17
x + 4 + 3 = 17
x + 7 = 17
x = 10
(10, 4, -3)
Formula for perimeter of a rectangle = 2(L + W)
let the number be x
width = 2x + 8
length = 3(2x + 8)
substitute respectively
96 = 2 (2x + 8 + 3(2x + 8)) open the bracket
96 = 2 ( 2x + 8 + 6x + 24) collect like terms
96 = 2 (8x + 32) open the bracket
96 = 16x + 64
collect like terms
96 - 64 = 16x
32 = 16x
divide both sides by 16
32/16 = 16x/16
2 = x
therefore, the width = 2x + 8 = 2(2) + 8 = 4 + 8 = 12.
and the length = 3(2x + 8) = 6x + 24 = 6(2) + 24 = 12 + 24 = 36.