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vichka [17]
3 years ago
12

Denise has 6 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the

race and walking back the same distance to cool down. If she runs at a speed of 7mph and walks back at a speed of 3mph, how long should she plan to spend walking back?
Mathematics
1 answer:
VMariaS [17]3 years ago
5 0
  To solve this problem,you need to use the formula d = rd (distance = rates x time)She runs at a speed of 7 mph and walks at a speed of 3 mph. Her distance running is d = 7trwhere tr is the time she spends running Her distance walking isd = 3twwhere tw is the time she spends walking The distances are the same so7tr = 3tw We also know that the total time is 4 hourstr + tw = 4tr = 4-tw Substitute this value of tr in the first equation7tr = 3tw7(4-tw) = 3tw28-7tw = 3tw28 = 10tw2.8 = tw Denise will spend 2.8 hours (2 hours, 48 minutes) walking back and 1.2 hours (1 hour, 12 minutes running.

Hope I helped :)
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Virty [35]
<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Calculate the number of hours:

24 x 3 = 72

72/13 = 5.5....

This is 5 whole half lives

You have to half the value 5 times

149/2 = 74.5

74.5/2 = 37.25

37.25/2 = 18.625

18.625/2 = 9.3125

9.3125/2 = 4.65625

The closest value is B. 3.21 so that should be the answer

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8 0
3 years ago
According to an NRF survey conducted by BIGresearch, the average family spends about $237 on electronics (computers, cell phones
schepotkina [342]

Answer:

7.64% probability that they spend less than $160 on back-to-college electronics

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 237, \sigma = 54

Probability that they spend less than $160 on back-to-college electronics

This is the pvalue of Z when X = 160. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{160 - 237}{54}

Z = -1.43

Z = -1.43 has a pvalue of 0.0763

7.64% probability that they spend less than $160 on back-to-college electronics

4 0
3 years ago
I'm making a table.
viva [34]
I hope this picture helps, but next time try to chose a number to cancel out the fraction. Example, y=1/3x+4 chose 3,6,9 and other multiples of 3.

5 0
4 years ago
The number of calories in a piece of pie is 20 less than three times the number of calories in a scoop of ice cream. The pie and
sergejj [24]

Answer:

130 calories in the ice cream and 500 calories in the pie.

Step-by-step explanation:

Let the amount of calories in the scoop of ice cream be x. the amount of calories in the piece of pie be 3x-20. we know that x+3x-20=500.

4x-20=500

If we add twenty to both sides, we end up with:

4x=520

Divide both sides by four, and you get x=130.

there are 130 calories in the scoop of ice cream and 130*4-20=500 calories in the pie.

5 0
3 years ago
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