samantha drove 168 miles in 3 1/2 hours. she than drove the next 2 1/4 hours at a rate of 5 miles an hour faster than the first rate. how many miles did samanha drive durigthe 5 3/4 hours?

Answers

Answer 1

Answer: 3.5 hours = 168 mi

We need to figure out the miles per hour pace first, before we move on any further.

To do this, divide 3.5 on both sides so we get per ONE hour:
3.5 hours/3.5 = 168 mi/3.5

1 hour = 48 mi

That means for the first 3.5 hours, Samantha drove at a pace of 48 miles per hour. If she were to drive 5 miles an hour faster the next 2.25 hours, that means she would be driving at 53 miles per hour.

Now we need to find the total number of miles Samantha drove.
For the first 3.5 hours, she drove 168 miles.

For the next 2.25 hours, she drove at a pace of 53 miles per hour.

If 53 mi = 1 hour, we need to multiply 2.25 on both sides to find out how many miles is 2.25 hours.

53 mi x 2.25 = 1 hour x 2.25

53(2.25) mi = 2.25 hours

Simplify

119.25 mi = 2.25 hours

That means Samantha drove 119.25 miles for those 2.25 hours.

To find the total number of miles, we need to add them up:

168 + 119.25 = 287.25

So Samantha drove a total of 287.25 miles during the 5.75 hours :)

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Answers

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The table shows the height of pea plants in centimeters after 6 weeks of growth. Each plant started at a height of 5 centimeters. Two planting soils were tested. Which statement BEST compares the mean growth percentage for the two sets of data?Planting soil 1 plant height:
15, 10, 19, 17, 16, 12, 20, 22, 18, 35
Planting soil 2 plant height:
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A) Planting soil 1 growth percentage is approximately 14% more than planting soil 2 growth percentage.
B) Planting soil 2 growth percentage is approximately 14% more than planting soil 1 growth percentage.
C) Planting soil 1 growth percentage is approximately 50% more than planting soil 2 growth percentage.
D) Planting soil 2 growth percentage is approximately 50% more than planting soil 1 growth percentage.

Answers

Answer:

Step-by-step explanation:

First find the mean of each group. To do this we total the numbers and then divide by the number of measurements. There are 10 measurements for each.

Planting soil 1

15 + 10 + 19 + 17 + 16 + 12 + 20 + 22 + 18 + 35 = 184

184 / 10 = 18.4cm

18.4 / 5 cm = 368

368% growth

Planting soil 2

16 + 17 + 10 + 12 + 18 + 17 + 14 + 15 + 17 + 23 = 159

159 / 10 = 15.9

15.9 / 5 = 318

318% growth

The difference between the two plant percentage growths is 50%, with plant 1 being more than plant 2, so the answer is C.

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Answers

An example of an angle measurement problem is when trying to calculate for the height of a particular object given the distance of the observer from the object and the angle of elevation or depression. For example, you want to find out the height of a building. All you need to know is the distance of your point of origin to the building and the angle of elevation.

Kristina, Liz, and Heather all made cookies. Kristina made 2.4 dozen less than 6 times as many dozen as Heather. Liz made 1.8 dozen more than 5 times as many dozen as Heather. If Kristina and Liz made the same number of cookies, how many dozen cookies did Heather make?

Answers

Answer:

Based on the number of cookies each girl made and if Kristina and Liz made the same number of cookies, then Heather made 4.2 dozen cookies.

Step-by-step explanation:

In order to find the number of cookies that Heather made, you need to set up two equations that represent the number of cookies that Kristina and Liz each made. Since Kristina made 2.4 dozen less than 6 times as many dozen as Heather, we can represent that with the equation 6c - 2.4. Since Liz made 1.8 dozen more than 5 times as many dozen as Heather, we can represent that with the equation 5c + 1.8. We can set both equations equal to each other since Liz and Kristina made the same number, so 6c - 2.4 = 5c + 1.8. Solving for 'c', which represents how many dozen cookies Heather made, we get 4.2

kayley is saving money for a vacation she starts out saving 10 dollars a week she plans to double the amount she is saving each month how much money will she be saving the fourth month.

Answers

4 weeks in a month.

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Answers

Answer:

D - 75.40 inches

Step-by-step explanation:

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