Answer: 24xy
I'm not sure if I'm right, but if I am and you have any questions about how it was solved, feel free to ask!! :)
4ab / 8c
a=8
b=4
c=12
4 x 8 x 4 / 8 x 12 = 192
Hope this helped!!!
Answer:
Gray family's sprinkler was used for 40 hours.
Thompson family's sprinkler was used for 35 hours.
Step-by-step explanation:
The Gray family and the Thompson family each used their sprinklers last summer.
Let x= amount of time in hours that the Gray family's sprinkler was used.
Let y = amount of time in hours that the Thompson family's sprinkler was used.
The water output rate for the Gray family's sprinkler was 40 L per hour. The water output rate for the Thompson family's sprinkler was 20 L per hour. This means that the combined number of hours that both family's used their sprinklers is 40x + 20y
The families used their sprinklers for a combined total of 75 hours, resulting in a total water output of 2300 L .
This means
x + y = 75
40x + 20y = 2300 - - - - - - - -1
Substituting x = 75 -y into equation 1,
40 ( 75 - y ) + 20y = 2300
3000 - 40y + 20y = 2300
-40y + 20y = 2300 - 3000
-20y = -700
y = 700/20 = 35 hours
x = 75 - y
x = 75 -35 = 40 hours
Answer: NOT a right triangle
<u>Step-by-step explanation:</u>
If it is a right triangle, the sum of the squares of the shorter sides must equal the square of the larger side.
7² + 8² = 14²
49 + 64 = 196
113 = 196 FALSE!
These side lengths do not form a right triangle.
Answer:
width = 47
Length = 100
Step-by-step explanation:
The perimeter of the rectangle has the formula
P = 2(L + W)
P = 2L + 2W
Length = 6 yards longer than double it's width.
Mathematically,
length = 6 + 2W
We put this into the formula for perimeter
P = 2(6+2W)+2W
294 = 12+4W+2W
294 = 12+6W
Collect like terms
294-12 = 6W
282 = 6w
Divide through by 6
W = 282/6
W = 47
This is the width
Remember length = 6 + 2(W)
So
Length = 6+2(47)
= 6+94
= 100
Width = 47
L = 100
These are the dimensions