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Pie
3 years ago
6

One day, I decide to run to the park. On the way there, I run at a rate of x^2 miles per hour for 3 hours. On the way back, I ta

ke the same path and jog at a slower rate of 16 - 4x miles per hour so that it takes me 4 hours to get home. Given that x > 0, what is x? Express your answer as a common fraction.
Mathematics
2 answers:
agasfer [191]3 years ago
8 0
X would be equal to 3 over 1
Elena L [17]3 years ago
6 0

Answer:

8/3

Step-by-step explanation:

Since we know that the distance that I traveled to the park and the distance that I traveled to get back home are the same, and that distance = rate x time, we have that

(x^2)(3)=(16-4x)(4)

3x^2=64-16x

3x^2+16x-64=0

(3x-8)(x+8)=0

Solving this equation, we get the solutions x=8/3 and x=-8. Since x must be positive, we have x=8/3.

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3 years ago
What additional information is needed to prove the triangles are congruent by SAS ?
Wittaler [7]

Answer: Its EB≅CB

Step-by-step explanation: I took the test

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2 years ago
What’s the answer to the question mark
melamori03 [73]

The missing number is 20

<h3>How to determine the number</h3>

We can see that the values at the top must be made equal to that at the bottom

For the top, we have

30 + 11 = 41

For the bottom, we should have:

21 + x = 41

Now, let's solve for 'x' to determine the missing figure;

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collect like terms

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Thus, the missing number is 20

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6 0
2 years ago
Jack bought 8 tokens for $4.40 at this rate how many tokens can she buy with $6.05
Ipatiy [6.2K]

Answer:

11

Step-by-step explanation:

First, find how much a token costs.

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Then divide 6.05 by .55 to get 11.

3 0
3 years ago
Suppose you have $100 in a savings account earning 2 percent interest a year. After five years, would you have more than $102, e
pentagon [3]
You would have more than $102.

Earning 2% a year in interest would get you $2 in interest the very first year:

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Adding this to the amount in the account, you would have 100+2 = 102 after the first year.
6 0
3 years ago
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