Answer:
Step-by-step explanation:
The volume of the aquarium is 2880 in^3.
Height of the aquarium is 4 inches
The base of the aquarium is rectangular in shape.
Let the length be L
Let the width be W
The length of the rectangle is 4 inches more than twice the width. It means that
L = 2W + 4
The volume of the aquarium is expressed as L × W × H
Therefore
L × W × H = 2880
Since H = 4,
4LW = 2880
LW = 2880/4 = 720
LW = 720 - - - - - - - -1
Substituting L = 2W + 4 into equation 1, it becomes
W(2W + 4) = 720
2W^2 + 4W - 720 = 0
W^2 + 2W - 360 = 0
W^2 + 20W - 18W- 360 = 0
W(W +20) - 18(W + 20) = 0
W-18 = 0 or W + 20 = 0
W = 18 or W = -20
Since the width cannot be negative, it is 18 inches
L = 720/W = 720/18
L = 40 inches
Length is 40 inches
Width is 18 inches
Answer:
30 cups
Step-by-step explanation:
mango: 16 cups x 3/4 = 12 cups
pomegranate: 1 pint = 2 cups
cranberry: 1 gallon= 16 cups
Cups of fruit punch: 12+2+16= 30
<h2>Roberto made 30 cups of Fruit punch</h2><h2 />
( Hopefully this helped )
Answer:
15
Step-by-step explanation:
We can find value of x using similarity ratio
(3x-5)/32 = (5x-5)/56 cross multiply expressions
56×(3x-5) = 32×(5x-5)
21x - 20x = 35 - 20
x = 15
Answer:
x = 16
Step-by-step explanation:
Given that the sum of the exterior angles is 360°
Sum the given exterior angles and equate to 360
47 + 93 + 46 + 3x + 62 + 4x = 360, that is
248 + 7x = 360 ( subtract 248 from both sides )
7x = 112 ( divide both sides by 7 )
x = 16
Answer:
x = y = - 1
Step-by-step explanation:
y = - 2x - 3
y = 7x + 6 -----> equation 1.
So,
7x + 6 = - 2x - 3
7x + 2x = - 3 - 6
9x = - 9
Divide 9 on both sides,
9x / 9 = - 9 / 9
x = - 1
Substitute x = - 1 in equation 1,
y = 7x + 6
= 7 ( - 1 ) + 6
= - 7 + 6
= 6 - 7
y = - 1
Therefore,
x = y = - 1
