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Answer: The dimensions of the rectangle are 6ft and 16ft.
Step-by-step explanation:
Let the width of the rectangle be y
Let the length of the rectangle be y+10
Area= 96ft
Since area of a rectangle is length multiplied by width
y(y+10) = 96
y^2 +10y =96
y^2 +10y -96= 0
Solving algebraically,
y^2 +16y - 6y - 96= 0
y(y+16) - 6(y+16)= 0
(y-6)(y+16)= 0
y-6= 0
y =6ft
Recall that the width was denoted as y. That means the width is 6ft.
Since length is y+10= 6+10 = 16ft
Length is 16ft, width is 6ft.
Answer:
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Answer:
1/3 cup of juice per cup of berries
Step-by-step explanation:
The table shows that if we go from 0 to 4 cups (a "run" of 4 cups), the juice output is 1 1/3 (or 4/3) (a "rise" of 4/3 cups), and so the desired constant of proportionality is the unit rate
(4/3) cups
------------------------ = 1/3 cup of juice per cup of berries
4 cups berries