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Arlecino [84]
3 years ago
6

Word problem.. i need help. Due at midnight

Mathematics
1 answer:
aniked [119]3 years ago
8 0

The Brady family received 1 letter on July 28.

Step-by-step explanation:

Step 1:

Assume a = the number of letters, b = the number of bills, c = the number of ads, and d = the number of magazines.

From the question, they got 15 pieces of mail that day so a+b+c+d=15.

They got 5 more magazines than bills so d = b + 5.

The got the same number of letters as ads so a=c.

They got 3 more bills than ads so b= c + 3.

Step 2:

As we have only one equation to solve the values, we need to make every term in terms of a single term.

We make everything in terms of c.

So a=c, b = c+3, c=c, d = b+5 = (c+3)+5=c+8.

Substituting all this in the equation, we get

a + b+c+d =(c)+(c+3)+(c)+(c+8) = 15, 4c+11=15.

4c=4, c = 1.

Step 3:

Substituting c = 1 in other terms, we get

a=c=1,

b=c+3=1+3=4,

c=1, and

d = c+8 = 1+8=9.

As a = 1, they received 1 letter that day.

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Answer:

The rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

Step-by-step explanation:

Given information:

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station.

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\frac{dx}{dt}=430

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y=2

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

Divide both sides by 2.

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2\frac{dy}{dt}=\sqrt{3}(430)

Divide both sides by 2.

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