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balu736 [363]
3 years ago
7

Angelo runs 7 miles per week and increases his distance by 1 mile each week. Marc runs 4 miles per week and increases his distan

ce by 2 miles each week. In how many weeks will Angelo and Marc be running the same distance? What will that distance be?
Mathematics
1 answer:
Umnica [9.8K]3 years ago
4 0

Answer:

Step-by-step explanation:

You have to set each runner's plan equal to each other because they are equal in the end. You start with 7 miles for Angelo and 4 miles for Marc.

x is a variable that is multiplied by the number of weeks it takes for both runners' distances to be equal. So multiply x by the miles increased every week.

Marc = Angelo

2x + 4 = x + 7

x = 3

In 3 weeks each runner will run 10 miles for the week.

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Step-by-step explanation:

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2 years ago
A bike store sells scooters at a 54% markup. If the store bought each scooter for $29.25, what is the resale price to the neares
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Step-by-step explanation:

$29 x 54%=$16

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3 years ago
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Assume that thermometer readings are normally distributed with a mean of degrees and a standard deviation of 1.00degrees C. A th
Andrew [12]

Answer:

0.2684 is the probability that the temperature reading is between 0.50 and 1.75.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 0 degrees

Standard Deviation, σ = 1 degrees

We are given that the distribution of thermometer readings is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(Between 0.50 degrees and 1.75 degrees)

P(0.50 \leq x \leq 1.75)\\\\ = P(\displaystyle\frac{0.50 - 0}{1} \leq z \leq \displaystyle\frac{1.75-0}{1})\\\\ = P(0.50 \leq z \leq 1.75)\\= P(z \leq 1.75) - P(z < 0.50)\\= 0.9599 - 0.6915 = 0.2684 = 26.84\%

0.2684 is the probability that the temperature reading is between 0.50 and 1.75.

7 0
3 years ago
If m=8, how many solutions are there for the expression m-8?
ss7ja [257]

Answer:

1 solution, 0

Step-by-step explanation:

In algebra, a variable can be equal to any amount of numbers depending on how it is used. In this case, m is only equal to the one value of 8, and therefore only has <u>one solution.</u>

m - 8

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0

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3 years ago
Help, please the question and thank you
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Answer:

The scale factor is 1.5.

Step-by-step explanation:

Divide the length of the image, 12, by the length of the preimage, 8, which will give you 1.5

12 ÷ 8 = 1.5

Therefore, the scale factor of the image is 1.5.

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2 years ago
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