A cyclist rides his bike at a speed of 21miles per hour. What is this speed in miles per minute? How many miles will the cyclist travel in 15
minutes? Do not round your answers.

Answers

Answer 1
Answer:

Final answer:

To convert from miles per hour to miles per minute, we divide by 60. Therefore, a speed of 21 miles per hour is equivalent to 0.35 miles per minute. If the cyclist rides for 15 minutes at this speed, they will travel approximately 5.25 miles.

Explanation:

The subject of this question is Mathematics, and it concerns converting units of speed from miles per hour to miles per minute, and then using this information to solve a problem. If a cyclist rides his bike at a speed of 21 miles per hour, to convert this to miles per minute you'd divide by 60, as there are 60 minutes in an hour. This gives approximately 0.35 miles per minute.

Then, to calculate how many miles the cyclist will travel in 15 minutes, you multiply the speed in miles per minute (0.35) by the number of minutes (15 minutes). So, 0.35 miles per minute times 15 minutes equals 5.25 miles. Therefore, the cyclist will travel 5.25 miles in 15 minutes provided they maintain the same speed.

Learn more about Unit Conversion here:

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Answer 2
Answer:

Answer:

1. 0.35 miles per minute

2. 5.25 miles

Step-by-step explanation:

1. speed is 21 miles per hour

speed per minute = 21/60 = 0.35 miles per minute

2. distance covered in 15 minutes = 15*0.35

= 5.25miles


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A local discount store is famous for their motto, "Shop with us and you'll pay 20% less". Their claim is that every item in the store is already marked down 20% off of retail prices. In this Sunday's ad, they are advertising a scuba mask and snorkel set at their discount price of $28. Use a percent model to determine the original retail price of the scuba mask and snorkel set.

Answers

Answer:

Original retail price: $35

Step-by-step explanation:

20% off means that the discounted price is equivalent to 80% (100% - 20%) of the retail price.  

Calling x the retail price of the scuba mask and snorkel set, then a discounted price of $28 means that this amount of money is 80% of x. Mathematically:

80*x/100 = $28

x = $28*100/80

x = $35

Use percentage multipliers:
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Hope This Helps!

Determine which ordered pair is a solution of y=8x.A. (0,8)
B. (-1,8)
C. (1.5,10)
D. (2,16)

Answers

we know that

If the ordered pair is a solution of the equation, then the ordered pair must satisfied the equation

we will proceed to solve each case to determine the solution of the problem

we have

y=8x -------> equation 1

case a)(0,8)

x=0\ny=8

For x=0

substitute the value of x in the equation 1 and then compare the values of y

y=8*0=0

so

0\neq 8

The ordered pair case a) is not solution

case b)(-1,8)

x=-1\ny=8

For x=-1

substitute the value of x in the equation 1 and then compare the values of y

y=8*(-1)=-8

so

-8\neq 8

The ordered pair case b) is not solution

case c)(1.5,10)

x=1.5\ny=10

For x=1.5

substitute the value of x in the equation 1 and then compare the values of y

y=8*1.5=12

so

12\neq 10

The ordered pair case c) is not solution

case d)(2,16)

x=2\ny=16

For x=2

substitute the value of x in the equation 1 and then compare the values of y

y=8*2=16

so

16=16

The ordered pair case d) is a solution

therefore

the answer is

(2,16)

y = 8x
y = 8(2)
y = 16
(x, y) = (2, 16)

The answer is D.

What is the area of it

Answers