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3 years ago

A car travels 294 miles in 5 hours and 15 minutes. How many miles does it travel per hour?

Mathematics

1 answer:

allochka39001 [22]3 years ago

6 0

Answer:

Hey!

Your answer is 56 miles!

<u>Step-by-step explanation:</u>

To find speed, we do 294 divided by 5hrs and 15mins (5.25)

So next= 294 / 5.25

Which gives us 56 mph!

HOPE THIS HELPS!!

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A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The material for the sides of the can costs

LenKa [72]

Answer:

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

Step-by-step explanation:

Volume of the Cylinder=400 cm³

Volume of a Cylinder=πr²h

Therefore: πr²h=400

$h=\frac{400}{\pi r^2}$

Total Surface Area of a Cylinder=2πr²+2πrh

Cost of the materials for the Top and Bottom=0.06 cents per square centimeter

Cost of the materials for the sides=0.03 cents per square centimeter

Cost of the Cylinder=0.06(2πr²)+0.03(2πrh)

C=0.12πr²+0.06πrh

Recall: $h=\frac{400}{\pi r^2}$

Therefore:

$C(r)=0.12\pi r^2+0.06 \pi r(\frac{400}{\pi r^2})$

$C(r)=0.12\pi r^2+\frac{24}{r}$

$C(r)=\frac{0.12\pi r^3+24}{r}$

The minimum cost occurs when the derivative of the Cost =0.

$C^{'}(r)=\frac{6\pi r^3-600}{25r^2}$

$6\pi r^3-600=0$

$6\pi r^3=600$

$\pi r^3=100$

$r^3=\frac{100}{\pi}$

$r^3=31.83$

r=3.17 cm

Recall that:

$h=\frac{400}{\pi r^2}$

$h=\frac{400}{\pi *3.17^2}$

h=12.67cm

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

3 0

3 years ago

Maria, age 28, wants to pay no more than $300 a year in life insurance. what is the face value of the largest 20-year term polic

shusha [124]

The face value of the largest 20-year term policy which Maria can buy without spending more than $300 annually is $158,000.

<h3>What is face value?</h3>

Face is the term used in finance, is used for the amount which has to be paid to the policyholder at the time of maturity.

Maria, age 28, wants to pay no more than $300 a year in life insurance.

The period for this policy is 20-year term.

Annual life insurance premium (per 1,000 dollars of face value) for age 28.

A 10-year term for female is 1.28,
A 15 year term for female is 1.54,
A 20 year term for female is 1.89,
A whole life for female is 9.46.

For the 20 year term for female is 1.89 and annular premium is $300. Thus, the face value is,

$\rm Face \; Value=\dfrac{300}{1.89}\times1000\\\rm Face \; Value\approx158000$

Thus, the face value of the largest 20-year term policy which Maria can buy without spending more than $300 annually is $158,000.

Learn more about the face value here;

brainly.com/question/25596583

8 0

2 years ago

Find the mean of the integers: 7,-9,9,-7,0

Aleks04 [339]

Step-by-step explanation:

Add all of the numbers together

7 + 9 + 0 + (-9) + (-7)

simplify it down to:

(7+9+0)= 16

-9 + (-7)= - 16

So, -16 + 16 = 0

then divide 0 by 5 to get the answer of 0

To find the mean you have to add all of the numbers together and then divide by the amount of numbers that you have.

7 0

3 years ago

Simplify the following.

tigry1 [53]

Answer:

19 /64

Step-by-step explanation:

Multiply whole numbers to get rid of the fractions

Then cancel the common factor.

8 0

3 years ago

How to get the number 2016 using math

Lapatulllka [165]

2000 + 16 = 2016

1008 * 2 = 2016

3000 - 984 = 2016

8064 / 4 = 2016

there are 4 different ways

6 0

3 years ago

A car travels 294 miles in 5 hours and 15 minutes. How many miles does it travel per hour?​

A car travels 294 miles in 5 hours and 15 minutes. How many miles does it travel per hour?