The answer is twelve because to Make the two fractions denominators equal you have to multiply the numerator and denominator by 4 to get the denominators equal which gets you a fraction of 12/16 and if you divide that by 1/16 because that is how long each lap is then you get 16 which is the amount of laps they swam

5 0

3 years ago

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Lin rode a bike 20 miles in 150 minutes. If she rode at a constant speed, how far did she ride in 15 minutes? How long did it ta

coldgirl [10]

Hey there! :)

Answer:

First part: 2 miles.

Second part: 45 minutes

Third part: 8 mph.

Step-by-step explanation:

We can divide this question into 3 parts.

Begin by solving for the distance traveled after 15 minutes by creating a ratio:

$\frac{20 mi}{150min} = \frac{x}{15 min}$

Cross multiply:

20 · 15 = 150 · x

300 = 150x

300/150 = 150x/150

x = 2 miles.

2nd part: How long it took her to ride 6 miles.

Set up another ratio similar to the one used before:

$\frac{20 mi}{150min} = \frac{6mi}{x min}$

Cross multiply:

20 · x = 6 · 150

20x = 900

20x/20 = 900/20

x = 45 minutes.

3rd part:

For this part, we will need to convert from minutes to hours.

$\frac{20 mi}{150 min}* \frac{60 min}{1 hr} = \frac{1200mi}{150hr} = 8 mi/h$

Therefore, her speed is 8 mph.

5 0

2 years ago

1. Find the lengths of the diagonals of rectangle QRST , Given that QS = 6X+3 and RT = 8X-1

Greeley [361]

Answer:

1. QS and RT= 15

2. Im not positive but I think it's TQ=18

Step-by-step explanation:

For question 1, you would do 6x+3=8x-1 and solve to get the result of x=2

Then you'd plug in 6 and get QS and RT=15

For the second one I am unsure because I wasn't positive how to solve but it seems like the side RQ might be 1/2 of TQ. Sorry if thats wrong I can try and help more if you need

5 0

2 years ago

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