Answer: h=14
Step-by-step explanation:
7h-5(3h-8)=-72
7h-15h+40=-72 > I distributed the -5(3h-8) to get rid of parenthesis
-8h+40=-72 > I combined the like terms 7h-15h
-8h=-112 > I subtracted 40 from both sides
h=14 > I divided -8 from both sides
Answer:
925 cubic inches
Step-by-step explanation:
Miguel has a toolbox that measures 18 1/2 inches by 12 1/2 inches by 4 inches. Fill in the formula to find the volume of the toolbox
The toolbox is shaped as a Rectangular prism
The volume of a rectangular prism = Length × Width × Height
Hence,
Length = 18 1/2 inches
Width = 12 1/2 inches
Height = 4 inches
Volume of the toolbox =
18 1/2 inches × 12 1/2 inches × 4 inches
= 925 cubic inches
Are you sure you want the length to be smaller than the width? It's not exactly the way they're defined. I'll solve it that way, but it's an odd question.
EquationsP = 2L + 2W
Area = L*W
Substitution and Solve2L + 2W = 36
L*W = 56
Divide the first equation by 2
L + W = 36/2
L + W = 18
Solve for L
L = 18 - W
Put this result in the second equation
W(18 - W) = 56 Remove the brackets
18W - W^2 = 56 Transfer the Left Side to the Right.
0 = W^2 - 18W + 56 Factor
0 = (W - 14)(W - 4)
W - 14 = 0
W = 14 <<<<<Answer
W - 4 = 0
W = 4
CommentBoth 14 and 4 are in cm
W = 14 cm <<<< answer
L = 4 <<<<< answer
Answer:
"a" must be negative
Step-by-step explanation:
The slope between points (-1, 1) and (1, -1) is a minimum of (-1-1)/(1-(-1)) = -1.
The slope between points (1, -1 and (3, -4) is a maximum of (-4-(-1))/(3-1) = -3/2.
Thus, as x increases, the slope is decreasing. In order for that to be the case, the value of <em>a</em> must satisfy a < 0.
