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Alika [10]
4 years ago
13

Jessica runs 10 miles In 85 minutes. At the same rate, how many minutes would she take to run 8 miles?

Mathematics
2 answers:
dezoksy [38]4 years ago
6 0
The answer would be 68
Mekhanik [1.2K]4 years ago
3 0

Answer:

68

Step-by-step explanation:

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Working together, it takes two different sized hoses 30 minutes to fill a small swimming pool. If it takes 50 minutes for the la
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Answer:

75 minutes

Step-by-step explanation:

In this question, we are asked to calculate the time it will take a smaller hose out of two hoses to fill a swimming pool by itself.

Firstly, let’s say the volume of the swimming pool to fill is Xm^3.

Hence for both, the rate of filling is x/30 m^3/minutes. For the larger hose, rate will be x/50 m^3/minutes. For the larger hose, let the time taken be z minutes. It’s rate will be x/z m^3/minute.

Mathematically, adding both rates together give the rate of both at the same time. This means;

X/30 = x/50 + x/z

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x/z = 20/1500

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z = x/75

This means the time that it will take the smaller hose will be 75 minutes

7 0
4 years ago
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The perimeter of Δ ABC is 450 ft. If AB= 9x, BC=41x and CA=40x, what is the area of the triangle?
Nikolay [14]

Answer:

A = 4500 ft^2

Step-by-step explanation:

By definition:

The pre-meter P of a triangle ABC is equal to the sum of the length of its sides.

We know that:

P = 450\ ft\\AB = 9x\\BC = 41x\\CA = 40x

The perimeter is:

P = AB + BC + CA\\P = 450 = 9x + 41x + 40x\\90x = 450\\x = 5

Now we find the length of the sides:

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Once the length of the sides is known, we use Heron's formula to calculate the area.

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A = \sqrt{s(s-AB)(s-BC)(s-CA)}\\\\A = \sqrt{225(225-45)(225-205)(225-200)}\\\\A = 4500\ ft^2

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Step-by-step explanation:

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She will get a cheaper price for $120 if she uses 20% off with the 20 dollars off it will be a total of $130

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