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Sloan [31]
4 years ago
10

A rectangular playground has a perimeter of 2400 ft. If

Mathematics
1 answer:
cupoosta [38]4 years ago
5 0
Let x be the length, y be the width and p be the perimeter.
p = 2x + 2y
Since the length is 3 times the width
x = 3y
So,
2400 = 2(3y) + 2y
2400 = 6y + 2y
2400 = 8y
y = 300
Now plug y back in,
x = 3(300)
x = 900
The length is 900 ft and the width is 300 ft
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<span>Let x be the speed of the first car, then (x + 10) is the speed of the second car.

We can write the equation by the condition of the problem:
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\frac{120}{x}- \frac{120}{x+10}=1 \\ 120(x+10)-120(x)=1(x)(x+10)   \\ 120x+1200-120x=x^2+10x \\ x^2+10x-1200=0 \\ D=b^2-4ac=10^2-4*1*(-1200) = 100+4800 = 4900 \\ x_{1,2}= \frac{-bб \sqrt{D} }{2a}  \\  \\ x_1= \frac{-10- \sqrt{4900} }{2}= \frac{-10-70}{2} = -\frac{80}{2}=-40 \ \  \ \O

x_2= \frac{-10+ \sqrt{4900} }{2}= \frac{-10+70}{2} = \frac{60}{2}=30  mph s<span>peed ​​of the first car
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Then 30+10=40 mph speed ​​of the second car

Answer: 30mph and 40 mph.


<span>I hope this helps.</span>
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4 years ago
Please help with this inequality.
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But is there a fee for the question?

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Step-by-step explanation:

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