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3 years ago

Marco bicycles 20 miles in 2 1/2 hours. What is the average rate in miles per hour?

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

5 0

Answer:

The average rate in miles per hour is 8 miles per hour

Step-by-step explanation:

In this question, we are concerned with finding what Marco’s average rate is, if he cycles 20 miles in 2 1/2 hours

For calculation simplification, we should know that 2 1/2 hours is same as 2.5 hours

Now mathematically, the average speed = Distance/Time

Thus, our disgrace here is 20 miles and our time taken to cover this distance is 2.5 hours

Thus, the average speed = 20/2.5 = 8 miles/hour

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Apples are on sale for \$3.12$3.12dollar sign, 3, point, 12 per kilogram. Is the total cost of the apples proportional to the to

kotykmax [81]

Answer:

yes 3

Step-by-step explanation:

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3 years ago

Read 2 more answers

A soup can in the shape of a right circular cylinder is to be made from two materials. The material for the side of the can cost

Advocard [28]

Answer:

Radius = 1.12 inches and Height = 4.06 inches

Step-by-step explanation:

A soup can is in the shape of a right circular cylinder.

Let the radius of the can is 'r' and height of the can is 'h'.

It has been given that the can is made up of two materials.

Material used for side of the can costs $0.015 and material used for the lids costs $0.027.

Surface area of the can is represented by

S = 2πr² + 2πrh ( surface area of the lids + surface are of the curved surface)

Now the function that represents the cost to construct the can will be

C = 2πr²(0.027) + 2πrh(0.015)

C = 0.054πr² + 0.03πrh ---------(1)

Volume of the can = Volume of a cylinder = πr²h

16 = πr²h

$h=\frac{16}{\pi r^{2}}$ -------(2)

Now we place the value of h in the equation (1) from equation (2)

$C=0.054\pi r^{2}+0.03\pi r(\frac{16}{\pi r^{2}})$

$C=0.054\pi r^{2}+0.03(\frac{16}{r})$

$C=0.054\pi r^{2}+(\frac{0.48}{r})$

Now we will take the derivative of the cost C with respect to r to get the value of r to get the value to construct the can.

$C'=0.108\pi r-(\frac{0.48}{r^{2} })$

Now for C' = 0

$0.108\pi r-(\frac{0.48}{r^{2} })=0$

$0.108\pi r=(\frac{0.48}{r^{2} })$

$r^{3}=\frac{0.48}{0.108\pi }$

r³ = 1.415

r = 1.12 inch

and h = $\frac{16}{\pi (1.12)^{2}}$

h = 4.06 inches

Let's check the whether the cost is minimum or maximum.

We take the second derivative of the function.

$C"=0.108+\frac{0.48}{r^{3}}$ which is positive which represents that for r = 1.12 inch cost to construct the can will be minimum.

Therefore, to minimize the cost of the can dimensions of the can should be

Radius = 1.12 inches and Height = 4.06 inches

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3 years ago

Irfan exited his apartment building

Fittoniya [83]

Irfan must walk a distance of <u>25</u> blocks <u>east</u> to return to his apartment building.

<h3>What is a compass?</h3>

A compass can be defined as a scientific instrument that contains a magnetized pointer, which is used to show and indicate the following four (4) main cardinal directions:

North (N)

South (S)

West (W)

East (E)

<h3>What is distance?</h3>

Distance can be defined as the amount of ground covered (traveled) by a physical object over a specific period of time and speed, regardless of its direction, starting point or ending point.

Next, we would calculate the total distance covered (traveled) by Irfan as follows:

Total distance = 20 + 5

Total distance = 25 blocks.

Since Irfan walked a total distance of 25 blocks west, he would have to walk the same distance in the opposite direction (east) to return to his apartment building.

Read more on total distance here: brainly.com/question/19460590

#SPJ1

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1 year ago

3/3=6/6 ,what is another equivalent fraccion

Ket [755]

2/2, 4/4, 5/5, 7/7, or any fraction with the same numerator and denominator will be equivalent. All fractions equal 1.

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3 years ago

Read 2 more answers

Who knows how to do this?? If so help

valina [46]

1. The lowest test score is 79.
The highest test score is 100.
The range is 21.
2. The median is 93.
3. The median of lower half is 89.
4. The median of upper half is 96.
Hope this helped! :)

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2 years ago