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Tomtit [17]
3 years ago
6

Olivia leaves New York City at 9:00am, traveling to Charlotte, NC, at an average rate of 55 miles per hour. Ben leaves one hour

later than Olivia and follows Olivia's route at an average rate of 65 miles per hour. At what time will Ben catch up to Olivia?
Mathematics
1 answer:
Pepsi [2]3 years ago
4 0

2.30 PM

Step-by-step explanation:

Olivia has a 1hr head start of Ben. While traveling at 55 mph she will have covered a distance of;

55 * 1 = 55 miles

Then Ben begins to travel at 65 mph which is

65 – 55 = 10 mph

Faster than Olivia.

This means that Ben will be closing in on the 55 miles head-start made by Olivia by 10 mph. To find out after how long Ben will completely close the gap;

55 / 10 = 5.5 hours

0.5 hours in minutes is;

5/10 *60 = 30 minutes

Ben will catch up to Olivia on;

9.00 + 5.30 = 14.30

= 2.30 PM

Learn More:

brainly.com/question/3733423

#LearnWithBrainly

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If Aniyah can run 6.5 miles per hour, and she runs for 15 minutes, how far did she go?
zhenek [66]

Step-by-step explanation:

PRIMERO CONVIERTES MINUTOS A HORAS

15 MIN = 0.25 h

LUEGO CON LA ECUACIÓN DE GALILEI:

<em>x</em> = 6.5 mi/0.25 h = 26 mi

3 0
3 years ago
Find the area of the carpet tile. Then find the area covered by 120 carpet tiles.
weqwewe [10]

The area of the carpet is the amount of space it occupies

  • The area of the carpet tile is 256 square inches
  • The area covered by 120 tiles is 30720 squares inches

<h3>How to determine the carpet area</h3>

The dimension of the carpet tile is 16 inches by 16 inches

So, the area is:

Area = 16 * 16

Evaluate the product

Area = 256

Hence, the area of the carpet tile is 256 square inches

For 120 carpet tiles, the area is:

Area = 120 * 256

Area = 30720

Hence, the area covered by 120 tiles is 30720 squares inches

Read more about areas at:

brainly.com/question/24487155

7 0
2 years ago
What is the relationship between 21 and 22?
blsea [12.9K]

someone please help her or him please

4 0
3 years ago
An angle measures 73.6° less than the measure of its supplementary angle. What is the measure of each angle?
Vladimir79 [104]

Answer:

Smaller angle = 53.2

Larger angle = 126.8

Step-by-step explanation:

Lets say x is the measure of the supplement. Since we know they're supplementary, we know their angle measure sum will equal 180. We can set up our equation like this x + (x-73.6) = 180. Note: (x - 73.6) is the measure of the smaller angle. By solving, we get 126.8 degrees for the measure of the supplement. If we plug in the value of x into (x-73.6), we get 53.2 degrees as the angle measure of the smaller angle.

6 0
3 years ago
Let x be the ages of students in a class. Given the frequency distribution f(x) above, determine the following probabilities:.
lora16 [44]

Probabilities are used to determine the chances of events

The value of the probability P(x < 24) is 0.7895

<h3>How to calculate the probability P(x < 24)?</h3>

This is calculated as:

P(x < 24) = \frac{n(x < 24)}{Total}

So, we have:

P(x < 24) = \frac{22 + 3 + 5}{22 + 3 + 5 + 4 + 4}

Evaluate the sums

P(x < 24) = \frac{30}{38}

Evaluate the quotient

P(x < 24) = 0.7895

Hence, the value of the probability P(x < 24) is 0.7895

Read more about probabilities at:

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8 0
2 years ago
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