A packaging company makes package peanuts in two containers, rectangular prisms and cylinders. The rectangular prism has a length of 6 feet, a width of 3 feet, and a height of 5 feet. The cylinder of peanuts has a diameter of 7 feet and a height of 10 feet. How many rectangular prisms contain the same amount of peanuts as one cylinder container? Round your answer to the nearest tenth.

Answers

Answer 1

Answer:

4.3

Step-by-step explanation:

length = 6 feet

width = 3 feet

height = 5 feet

Volume of rectangular prism = length × width × height

= (6 × 3 × 5) feet

= 90 cubic feet

cylinder of peanuts has a diameter of 7 feet and a height of 10 feet

Volume of a cyclinder = πr^2h

π = 3.14

r = diameter / 2

= 7/2 = 3.5 feet

h =10 feet

Volume of a cyclinder = πr^2h

= 3.14 × (3.5)^3 × 10

= 3.14 × 12.25 × 10

= 384.65 cubic feet

How many rectangular prisms contain the same amount of peanuts as one cylinder container = volume of cylinder container / volume of rectangular prism container

= 384.65 / 90

= 4.274

To the nearest tenth = 4.3


Related Questions

Regina’s teacher recently gave her a homework assignment on solving equations. Since she has been thinking about saving for a new cell phone, she decided to use the assignment as an opportunity to model a savings plan.

She created this equation to model the situation. In it, y represents the total amount saved for the new cell phone, 74 is the amount of money she has now, 40 is the amount of money she saves each month for the phone, and x represents the number of months since she started saving a regular amount:

74 + 40x = y.

She then solved the equation to determine how many months she’d need to save to have enough to purchase the new cell phone. Review her work, and select the error.

Answers

Answer:

The answer is 4.

Step-by-step explanation:

In her solution, there is an error in step 4. She used the multiplication property of equality but its a division property.

Given that,
A solution is given, we have to review the solution and mark the steps that contain an error.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

Here,

In the solution, every step is accurate and correct, except for step 4. she divided the equality by 40 and she wrote the step as multiplication property of equality which is wrong the correct statement for step 4 is the division property of equality.

Thus, in her solution, there is an error in step 4. She used the multiplication property of equality but its a division property.


Learn more about arithmetic here:

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Mr. Lee had 45 friction books. He gave 2 books to each
student. He has 1 remaining book. How many students does he
have?

Answers

Answer:

He has 22 students

Step-by-step explanation:

45 divided by 2 is 22 with 1 left over

e is 5 more than d.
f is 7 less than d.
Work out
e-f
Simplify your answer.

Answers

Answer:

12+2d

Step-by-step explanation:

e=5+d

f=d-7

e-f = 5+d-(d-7)

e-f = 12+2d

The solution of expression e - f is,

⇒ e - f = 12 + 2d

We have to given that,

e is 5 more than d.

And, f is 7 less than d.

Hence, It can be written as,

e is 5 more than d.

⇒ e = 5 + d

And, f is 7 less than d.

⇒ f = d - 7

So, We get;

e - f = (5 + d) - (d - 7)

Combine like terms,

e - f = 12 + 2d

Therefore, The solution of expression e - f is,

⇒ e - f = 12 + 2d

Learn more about the mathematical expression visit:

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Helpp!!!!! What is the solution to the system of equations graphed below?

Answers

It’s A when the lines cross they make 4 across and one down but when with the numbers -5,1 hope it helped

What is 212 tens / 10

Answers

212 tens divided by 10 = - 4442962

Answer:

212 ones

Explaination:

If you have 212 tens and trade them all for ones, hence the ÷10, you'll get 212 ones.

Answer plsssssssssssssss

Answers

Answer:

i can't see the full question

Step-by-step explanation:

Step-by-step explanation:

Okay, so we know that exponents mean a number times itself.

Numerator: 4x4x4x4x4x4x4= 16,384

Denominator: 4x4x4x4x4= 1,024

Now, since it is a fraction, we divide the two.

16,384/1,024= 16

Thus, your answer is 16 ;)

a company took 59 employees to a management conference across the country. Each round trip plane ticket cost $799. What was the total amount needed to take the employees to the conference?

Answers

Answer:

47,141

Step-by-step explanation:

I'm pretty sure that's right. Hope I helped <3

Answer:

Its this $47,141

The length of a rectangle is 4 times its width. Write three different expressions to describe its perimeter. Explain how you wrote each expression. ​

Answers

Answer:

2(4x+x)

Step-by-step explanation:

A 5 minute overseas call costs $5.91 and a 10 minute call costs $10.86. The cost of the call and the length of the call are related. What is the cost, c, of a call in minutes duration?

Answers

Answer:

For one minute it costs $1.18 so you would just multiply $1.18 by any number to find out how much money is spent for minuets,

Step-by-step explanation:

Communities A,B and C are faced with acute water problem. The distance between communities A and B is 5km and that of A and C 7km. The angle between path AB and AC is 45degrees. If a well is dug for the three communities such that it would have equal distance to the path linking each communities. (a) Indicate by a way of sketching the exact place to dig the well? (b) Measure the distance between communities B and C?

Answers

Answer:

a) by finding the incentre

b) 5 km

Step-by-step explanation:

Let the communities A, B and C be shown by the three points of the triangle as shown in the figure below. As the angle between the path Ab and Ac is 45 degrees this is an isosceles triangle having two angles equal. As this is an isosceles triangle it must also have two sides equal .

a) the in center   point can be used to  have equal distance to the path linking each communities.

We take a compass and draw arcs on the two sides of the vertex and placing the compass on the arcs bisect each angle made by the triangles arms.

Joining the bisectors the lines meet at a point which is highlighted by a circle in the diagram.

This is the incentre which is equidistant from each vertex.

b) Using Pythagorus theorem

c² = a² + b²

7²= 5² + b²

b²= 24

b= 4.89= 5 km

The path between B and C is also 5 km.

Help!!!! I don’t really understand sloped so any help would be helpful.

Answers

Answer: The slope is -2.

Step-by-step explanation:

Since the line is going through the origin it means that if you find a point on the line and divided the y coordinate of point by it's x coordinate then you will get the slope or the constant change value.

The equation of a proportional line says that  y = kx  where k is the slope.

And to find k, you will divide y by x.

One point that is located on the line is  (-1,2)  The y coordinate is 2 and the x coordinate is -1.

Divide 2 by -1 to find the slope.

2/-1= -2  

This means the slope is -2.

someone help me im gonna fail science plsfjidkl

Answers

Answer:

it is either 23 or 24 its kinda hard to tell.

Step-by-step explanation:

Answer:

15 degrees

Step-by-step explanation:

Mr. Hughes recently planted a crop of money trees in his garden

Answers

Need the actual question might want to repost so I can help

After a concert for 1,600 people, only 8 people said they would not go to see the band again. What percent of the people who went to the concert said they would not go to see the band again? (10 points). :)

Answers

Answer:

0.5%

Step-by-step explanation:

8/1600= 0.005 = 0.5%

Amy regularly works 20 hours per week at Smiths Dry
Cleaners Monday through Friday. She earns $10.10 per
hour and receives double-time pay for working nights. This
week Amy worked her regular 20 daytime hours plus an
additional 8 nightime hours.
What will her total pay be for the week? Round your answer
to the nearest cent.
$

Answers

15.50 x 20 = $310

31 x 8 = $248

310 + 248 = $558

Her total pay for the week is $558.

Hope you got a good grade!!! :)

Solve to find the value for x in the linear equation: 36-4x + 5) = 12
CIE
1 Use the distributive property:
2 Use the subtraction property of equality
3. Division property of equality:
3(-4x) + 3(5) = 12
-12x + 15 = 12
- 12x + 15 - 15 = 12 - 15
-12x = -3
Intro

Answers

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given expression:

         3(-4x + 5) = 12

To solve for x;

  Use the distributive property to open the parentheses;

     3(-4x) + 3(5) = 12

      -12x + 15 = 12

 then, add -15 to both sides;

    -12x + 15 + (-15) = 12 + (-15)

            -12x  = -3

  divide both sides by -12;

        [tex]\frac{-12x}{-12}[/tex]   = [tex]\frac{-3}{-12}[/tex]

           x  = [tex]\frac{1}{4}[/tex]

You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and two shirts for $84. Your friend buys two pairs of jeans, one pair of shorts, and three shirts for $76. Your cousin buys one pair of jeans, two pairs of shorts, and one shirt for $52. How much does each item cost?

Answers

Answer: Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

Step-by-step explanation:

Let x= cost per pair of jeans

y = Cost per pair of shorts

z= cost per shirt.

For you, total cost = x+4y+2z= 84

For your friend,  total cost = 2x+y+3z=76

For cousin, total cost = x+2y+z= 52

Required system:

[tex]x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)[/tex]

from (i), [tex]x=84-4y-2z[/tex]    (*)

put this in (ii) and (iii) we get

[tex]2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)[/tex]

from (iv), [tex]y=-\frac{z-92}{7}\ (vi)[/tex]

[tex]\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)[/tex]

[tex]-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8[/tex]

[tex]\mathrm{Subsititute\:}z=8\text{ in (vi)}[/tex]

[tex]y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12[/tex]

[tex]\mathrm{Subsititute\:}z=8,\:y=12\text{ in (*)}[/tex]

[tex]x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20[/tex]

Hence, x= 20, y= 12 , z=8

So, Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

The rental fee for space at a flea market is $200 per month base rate
plus an additional $10 for each square yard of floor space beyond the
standard area of 12square yards. The total fee can be modeled using the
equation in the box, where "F" represents the fee, and "x" represents the
number of square yards rented beyond the standard area. What is the
most reasonable meaning of the number 10 in this equation?

Answers

Answer:

anor soi sena orka uzumo senda?

Brett, who is 5 ft tall, is standing next to a flag pole. Brett's shadow is 8 feet long. The flag
pole's shadow is 24 feet long. How tall is the flag pole?

Answers

Answer:

15 is the answer

Answer:

15

Step-by-step explanation:

Multiply the length of the flagpole's shadow by your height, and then divide the resulting number by the length of your shadow.

(24x5)/8

120/8

15

please mark as brainliest!!!

What do YOU think about LOVE?

Answers

Answer: it amazing

Step-by-step explanation:

answer: it. sucks. BADDDDDDD

Polynomials question.
PLEASE EXPLAIN YOUR ANSWER

Answers

Answer:

9x^2-24x+16

Step-by-step explanation:

(3x-4)(3x-4)

FOIL

9x^2-12x-12x+16

9x^2-24x+16

yeah what he or she said i just don’t feel like typing it bc ain’t nobody got time for that

Use the Distributive Property and mental math to find the product. 5 x 49 8 x 56

Answers

Answer:

The answer is 139,440

Step-by-step explanation:

5x498x56=139,440

-2 2/3 - (- 1/3) =
.......

Answers

Do you want this simplified?

the soccer team is selling bags of popcorn

Answers

Answer:

3p +2c greater than 120. 120∠ 2c + 3p

Step-by-step explanation:

I think this is your answer but, i'm not so sure.

subtraction property of equality​

Answers

It tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same.

If 5x kilos of carrots cost php 900.00 pesos, how much is the price per kilo?​

Answers

Answer:

180 pesos

Step-by-step explanation:

divide 900 by 5

Yo ! I need help serious

Answers

Answer:

$400

Step-by-step explanation:

If you go to the left of the graph from the line, it gets you to 400.

Answer:

$400

Step-by-step explanation:

1. 1) Simplify the following expression: 5b - 5 - 12b - 7​

Answers

Step-by-step explanation:

Here is your answer in the screen shot please check there

Find the GCF of 6 and 15 using lists of factors.

Answers

The GCF of 6 and 15 is 3. We know this because, for example, 3, 6, 9, 12, 15, and 15, 30.

Answer:

gcf of 6 and 15 is 3

Step-by-step explanation:

multiples of 6 are 6, 12, 18, 24, 30, 36, 42, and 48

multiples of 15 are 1, 2, 3, 6, 9, 18

400 STUDENTS OUT OF 2000 at a school are surveyed. 50 said they play a sport at the high school. Predict the
number of students in the population (the entire school) that would answer similarly.
25
2500
250
0.125
HURRY PLEASE!!!!!!!

Answers

Answer:250

Step-by-step explanation:

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