Answer:
m=21 and n=21
Step-by-step explanation:
In order to maximize the area of the rectangle, you want the two side lengths to be as equal to each other as possible.
In this case, we get that 2m+2n=84, so m+n=42. In our case, m and n can equal each other, so that gives us the maximum area of 441
Proof that this works:
If we had other dimensions, like m=20 and n=22, the area would be 440, slightly less than 442. If m=19 and n=23, the area becomes 437, which is even further off from 441.
If the snowboarder descends 12000 feet hill in 3 minutes, then in one minute he'll descend 12000 / 3 = 4000 feet. So the mean change in elevation per minute is 4000 feet per minute.
1.53 hours if she drove 40 mph it would be 1 hour
Answer:
The price of the burrito is $3.5 and the price of the taco is $2.5.
Step-by-step explanation:
2x+5y=19.5
5x+2y=22.5
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5(2x+5y)=5(19.5)
-2(5x+2y)=-2(22.5)
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10x+25y=97.5
-10x-4y=-45
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21y=52.5
y=52.5/21=2.5
2x+5(2.5)=19.5
2x+12.5=19.5
2x=19.5-12.5
2x=7
x=7/2=3.5
x=3.5, y=2.5
The price of the burrito is $3.5 and the price of the taco is $2.5.
