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labwork [276]
2 years ago
15

Mark cycles from home to school at a speed of 16 kilometers per hour. He cycles back on the

Mathematics
1 answer:
katrin [286]2 years ago
7 0

Answer:

Write a time equation, time = dist/speed

:

go time + return time = total time

d%2F16 + d%2F15 = 7.75 hrs

multiply equation by the least common multiple 240, cncel the denominators:

 

15d + 16d = 240(7.75)

31d = 1860

d = 1860/31

d = 60 km one way

total dist = 120 km

:

Check this, find the actual time each way

60/16 = 3.75 hrs

60/15 = 4 hrs

-----------------

total time 7.75 hrs

Step-by-step explanation:

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Sue graphed the formula for converting temperatures from Fahrenheit to Celsius.If the temperature is 50 degrees Fahrenheit, what
kherson [118]

Answer:

10°C

Step-by-step explanation:

The temperature is 50°F

Let's assume that 50°F = x°C

The formula is;

(x°C × \frac{9}{5}) + 32 = 50°F

\frac{9}{5}x°C = 50 - 32 = 18

\frac{9}{5}x°C = 18

x°C = \frac{5}{9} × 18 = 10°C

So 50°F is equal to 10°C.

5 0
3 years ago
Read 2 more answers
The regular pentagon below is a scale drawing of an original pentagon that was made by using a scale factor of One-fourth. A hex
Lana71 [14]

Answer:

-The scale drawing represents a reduction

-each side of the original is 22 in long

-the scale drawing is proportional to the original

Step-by-step explanation:

8 0
3 years ago
Scott earned 20 points more on his most recent math test than he earned on the previous test. If he earned at least 80 points on
NARA [144]

9514 1404 393

Answer:

  s ≥ 60

Step-by-step explanation:

If Scott earned 20 points more on this test, then he earned 20 points less on the last test. 20 points less than "at least 80" is "at least 60."

  s ≥ 60

7 0
2 years ago
Please show work
OlgaM077 [116]

Answer:

3.7hours

Step-by-step explanation:

Step one:

A car travels 360 miles in 8 hours

the speed is calculated as

speed= distance/time

speed= 360/8

speed= 45mph

Step two:

How much time will it take traveling 168 miles?

having found the speed, which is the rate at which the car is tavelling

time= distance/speed

time= 168/45

time= 3.7hours

8 0
3 years ago
A line for tickets to a Broadway show had a mean waiting time of 20 minutes with a standard deviation of 5 minutes.
andrezito [222]

Answer:

5.48% of the people in line waited for more than 28 minutes

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean waiting time of 20 minutes with a standard deviation of 5 minutes.

This means that \mu = 20, \sigma = 5

What percentage of the people in line waited for more than 28 minutes?

The proportion is 1 subtracted by the p-value of Z when X = 28. So

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

Z = \frac{28 - 20}{5}

Z = 1.6

Z = 1.6 has a p-value of 0.9452.

1 - 0.9452 = 0.0548.

As a percentage:

0.0548*100% = 5.48%

5.48% of the people in line waited for more than 28 minutes

6 0
2 years ago
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