A cyclist rode for 3.5 hours and completed a distance of 60.9 miles. If she kept the same average speed for each hour, how far did she ride in 1 hour? Part A Estimate the quotient. Include an equation to show your work. Explain

Answers

Answer 1
Answer:

Answer:

17.4 miles

Step-by-step explanation:

Step one:

given data

time takent= 3.5hours

distance = 60.9miles

the average speed is given as

Average speed= distance/time

Average speed= 60.9/3.5

Average speed= 17.4mph

Step two:

we are told that the speed was actually maintained, so we used the previous value obatained for the following computation

For a time taken as 1 hour, the distance will be

distance= average speed * time

distance= 17.4*1

distance= 17.4 miles

Answer 2
Answer:

Answer:

Step-by-step explanation: A cyclist rode for 3.5 hours and completed a distance of 60.9 miles. If she kept the same average speed for each hour, how far did she ride in 1 hour?


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Kendrick rides his bike x miles per hour to school and it takes him x+15 minutes to get there. If Kendrick lives 5.4 miles from school, how many minutes does it take for Kendrick to ride to school? Please help me!

Answers

did u write this correctly, if u did then x=5.4, then t= 5.4+15, t=20.4 

Final answer:

In order to find Kendrick's biking time to school, set up and solve the equation based on the rate-time-distance relationship, using the given conditions of 5.4 miles distance, x miles per hour speed, and a time of x+15 minutes.

Explanation:

The subject of this question is rate, time, and distance. To find out how long it takes for Kendrick to bike to his school, we should start with the rate-time-distance relationship formula. If we let 'x' be the speed at which Kendrick rides his bike, then the time taken is simply 5.4 divided by x (since distance = rate x time, and we rearrange to get time = distance/rate).

However, the question states that the time is 'x+15' minutes. Therefore, we can set up the equation '5.4/x = x + 15.' Solving this equation will give us 'x' which is both the speed in miles per hour and the time in minutes that it takes Kendrick to bike to school.

Learn more about rate-time-distance here:

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Find the constant of variation k for the direct variation 2x +6y = 0

Answers

A relationship between two variables in which one is a constant multiple of the other. The constant here is also called the constant of variation. In order to obtain this value, we manipulate the equation by isolating the variables. We do as follows:

2x +6y = 0
y = -x/3

Therefore, the constant of variation is -1/3. Hope this answers the question. Have a nice day.

At a school supply store, binders cost $5 and pencil pouches cost $2. In one day, 42 of these items are sold for total sales of $144. Which system represents this (b represents binders and p represents pencil pouches), and how many binders were sold?

Answers

Answer:

Part 1) The system of equations that represent this situation is equal to

b+p=42  and 5b+2p=144

Part 2) 20 binders were sold

Step-by-step explanation:

Let

b -----> the number of binders sold

p -----> the number of pencil pouches sold

Part 1)

we know that

The system of equations that represent this situation is equal to

b+p=42

5b+2p=144

Part 2) How many binders were sold?

we have

b+p=42

p=42-b ------> equation A

5b+2p=144 -----> equation B

substitute equation A in equation B

5b+2(42-b)=144

5b+84-2b=144

3b=144-84

3b=60

b=20 binders

Solve 2x^2+15x-8=0 and 2x^2+8x-24=0 for x

Answers

Answer:

X=.5

Step-by-step explanation:

put 2x^2+15x-8 into y1 of your calculator and 0 in y2 then second, trace, 5, enter, enter, enter. Then you have your answer

3/12 and 5/x are equivalent ratios. Solve for x

Answers

The required value of x is 20.

What is proportion?

A proportion is an equation in which two ratios are set equal to each other. In simple words, equivalent fraction are called as proportions.

Now the given equivalent ratios is,

3/12 = 5/x

Cross multiply the ratios we get,

3*x = 5*12

Solve them we obtain,

3x = 60

now dividing both side by 3,

3x/3 = 60/3

Solve them we obtain,

x = 20

So the value of x = 20.

Hence, for equivalent ratios 3/12 and 5/x the valueof x is 20.

To learn more about proportions :

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3/12=5/x
1/4=5/x
times both sides by 4x aka cross multiply
1x=20
x=20

Tom took a trip of 1,020 miles. He traveled by train at 55 miles an hour and the same number of hours by plane at 285 mph. How many hours did the trip take? 3 hours
6 hours
8 hours

Answers

it would take 3.5 hours just by plane

and 18.5just by train

so the answer is 6 hours

Answer:

the correct answer is 6 hours