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evablogger [386]
3 years ago
11

Ben walks at a rate of 3 miles per hour. he runs at a rate of 6 miles per hour. in one week, the combined distance that he walks

and runs is 210 miles.
b. (using 3x + 6y = 210 with x representing walk and y representing run) ben runs for 25 hours. for how many hours does he walk?
Mathematics
1 answer:
Ede4ka [16]3 years ago
4 0
Ben walks for 20 hours.
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Step-by-step explanation:

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Solve for x<br> Please help
Igoryamba

Answer:

3. A; 4. C; 5. D; 6. D

Step-by-step explanation:

3. By Pythagorean theorem, x^2=100-64=36, x=6

4. By Pythagorean theorem, x^2=81-36=25, x=5

5. Since the triangle is an isosceles, the other side is 4, so the hypotenuse is 4\sqrt{2}. (the ratio is 1:1:\sqrt{2} by Pythagorean theorem)

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4 0
3 years ago
The amount of money Tom has is 75% of Sallys amount of money. After Sally spent $120 and Tom saved all his money Tom's amount of
egoroff_w [7]

Answer: sally initially has $240, Tom initially has $180.

Step-by-step explanation:

Let initial amount of money sally has = x

Then, initial amount tom has = 75% * x = 0.75x

Now to present,

Amount sally has = x -120

Amount tom has = [x - 120] + [50% * (x-120)]

= x - 120 + 0.5x - 180

= 1.5x - 180

Since Tom didn't spend, it means this is the same amount tom has then we equate both equations.

0.75x = 1.5x - 180

180 = 0.75x

x = 240

Therefore, initial money of sally of sally = $240

Initial money of tom = 240 * 0.75 = $180.

6 0
3 years ago
Explain the difference between 331/3% and 33%
Scrat [10]
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7 0
3 years ago
A market surveyor wishes to know how many energy drinks teenagers drink each week. They want to construct a 98% confidence inter
frosja888 [35]

Answer:

The minimum sample size required to create the specified confidence interval is 1024.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.98}{2} = 0.01

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.01 = 0.99, so z = 2.327

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

What is the minimum sample size required to create the specified confidence interval

This is n when M = 0.08, \sigma = \sqrt{1.21} = 1.1.

M = z*\frac{\sigma}{\sqrt{n}}

0.08 = 2.327*\frac{1.1}{\sqrt{n}}

0.08\sqrt{n} = 2.327*1.1

\sqrt{n} = \frac{2.327*1.1}{0.08}

(\sqrt{n})^{2} = (\frac{2.327*1.1}{0.08})^{2}

n = 1024

The minimum sample size required to create the specified confidence interval is 1024.

3 0
4 years ago
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