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nadya68 [22]
3 years ago
5

if jean and kim combined their weekly allowances they would have $12. Jeans allowance is $2 more than kim’s allowance

Mathematics
1 answer:
hodyreva [135]3 years ago
5 0
Answer:

jean’s allowance is $7 and kim’s allowance is $5

explanation:

k = kim
j = jean

j = k + 2
k = k

k + k + 2 = $12

2k + 2 = $12

2k (+2 - 2) = ($12 - 2)

= 2k = 10

2k/2 = 10/2

k = 5

j = k + 2

j = 5 + 2

j = 7

so, therefore, kim’s allowance is $5 and jean’s allowance is $7
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Given

To properly solve this question, I illustrate some given parameters using attached image

From the image, apply Pythagoras theorem

x^2 + 1^2 = y^2

Differentiate w.r.t time (t)

2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}

2x\frac{dx}{dt} = 2y\frac{dy}{dt}

Divide both sides by 2

x\frac{dx}{dt} = y\frac{dy}{dt}

From the question, we have that the plan travels are 510mi/h.

This implies that:

\frac{dx}{dt} = 510mi/h

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y = 2mi

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x^2 + 1^2 = 2^2

x^2 + 1 = 4

x^2 = 4-1

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x\frac{dx}{dt} = y\frac{dy}{dt}

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\frac{dy}{dt} = 441.655

\frac{dy}{dt} = 442

<em>Hence, the distance is 442 miles</em>

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