A roll of quarters is shaped like a cylinder and contains 40 each quarter has a thickness of 1.75 and a diameter of 24.26 mm What measurement would be the closest to the volume of one roll of quarters in cubic millimeters

A) 5,335mm
B) 6,256mm
C) 129,428mm
D) 32,357mm

Answers

Answer 1

Answer:

D) 32,357mm^3

Step-by-step explanation:

Given

[tex]Quarters = 40[/tex]

[tex]Thickness = 1.75mm[/tex]

[tex]diameter = 24.26mm[/tex]

First, we calculate the volume of 1 roll.

The volume of the cylinder is:

[tex]V = \pi r^2h[/tex]

Where

[tex]r = \frac{1}{2} * diameter[/tex]

[tex]r = \frac{1}{2} * 24.26mm[/tex]

[tex]r = 12.13mm[/tex]

And the thickness represents the height.

So:

The volume is:

[tex]V = 3.142 * 12.13^2 * 1.75[/tex]

[tex]V = 809.03mm^3[/tex]

The volume of the 40 is:

[tex]Roll= 40 * 809.03mm^3[/tex]

[tex]Roll=32361.20mm^3[/tex]

The closest option is (d):


Related Questions

yovani estimates that about 200 students in the school favor playing sports as a hobby. do you agree? explain.

Answers

Answer:

No, I used a proportion to find the number of students in the school who likely to prefer to play sports.

Step-by-step explanation:

23/80 = 115/400; 115 students

Lily bought a bottle of apple juice. She drank 12 1 2 of the apple juice and her sister drank 38 3 8 of it. What fraction of the bottle of apple juice did they drink altogether?

Answers

Answer:

50 7/8

Step-by-step explanation:

12 4/8 + 38 3/8 = 50 7/8

what does it simply to please help

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Answer:

x

Step-by-step explanation:

Answer:

lowest terms is 1/1. so it'll be 1

Step-by-step explanation:

Item 19 The staircase has three parallelogram-shaped panels that are the same size. The horizontal distance between each panel is 4.25 inches. What is the area of one panel?

Answers

Answer:

[tex]Area = 287\ in^2[/tex]

Step-by-step explanation:

Given

[tex]Length = 20.5[/tex]

[tex]Space = 4.25[/tex]

[tex]Panels = 3[/tex]

See attachment

Required

The area of one panel

From the attachment, the total width is 50.5in.

i.e.

[tex]Total\ Width = 50.5[/tex]

Given that there are 2 spaces between the 3 panels and each space has a length of 4.25 in.

The reduced width is:

[tex]Reduced\ Width = 50.5 - 2 * 4.25[/tex]

[tex]Reduced\ Width = 42[/tex]

At this point, we can calculate the width of one panel by dividing the reduced width by the number of panels (3).

[tex]Width = \frac{42}{3}[/tex]

[tex]Width = 14[/tex]

The area of one is:

[tex]Area = Length * Width[/tex]

[tex]Area = 20.5 * 14[/tex]

[tex]Area = 287\ in^2[/tex]

Sarah earned $175 babysitting for her neighbors. If she saved 40% of her money how much did she save?

Answers

Answer:

70 dollars

Step-by-step explanation:

40% of 175 is 70

Answer:

im pretty sure she saved 70

Step-by-step explanation:

40% of 175 is 70, but im not sure if that's right. Sorry!

3x + 0 = 3x

Need help

Answers

I don’t know how to answer needs to be but I think it’s 3X equals 3X

Answer:

x is equal to all real numbers.

Step-by-step explanation:

3x = 3x

No matter what number you substitute for x, 3x will always equal 3x.

The segments shown below could form a triangle.

A. True
B. False

Answers

The answer is True.
The answer is true because it just is

What is the measure of ∠D to the nearest degree?

Answers

Answer:

Option A. 47°

Step-by-step explanation:

In the given triangle as per sine rule

sin F/DE = sin D/54

sin 71/70 = sin D/54

sin D = (54×sin 71)/70 = 54×0.9455/70 = 51.06/70 = 0.729

Therefore Option A. angle D = 47° is the answer.

Bella has $540 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $353.59.
She buys 3 bicycle reflectors for $4.98 each and a pair of bike gloves for $38.63.
She plans to spend some or all of the money she has left to buy new biking outfits for $49.20 each.

Write and solve an inequality which can be used to determine xx, the number of outfits Bella can purchase while staying within her budget.

Answers

Answer:

Bella spent 407.16 and has 132.84 left. she could buy like 2 outfits

Step-by-step explanation:

∆ XYZ ≅ ∆ MNL

Find XY

Answers

95 because if you do the math you’ll get the answer

The length of XY is 8.

What are congruent triangles?

When a triangle has precisely the same three sides and precisely the same three angles, it is said to be congruent.

Given that, the triangles ΔXYZ and ΔMNL are congruent.

Therefore, XY≅MN.

Since MN = 8, it follows XY =8.

Hence, the length of XY is 8.

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Find two positive consecutive integers such that the square of the first added to three times the second is 24

Answers

Answer:

3 and 5

Step-by-step explanation:

Let the two consecutive odd integers be x and x + 2.

Now,

The given statement is

[tex]x^2 + 3 \times (x+2)=24\\x^2 + 3x+6-24 = 0 \\x^2 + 3x-18 = 0\\x^2+6x-3x-18=0\\x(x+6)-3(x+6)=0\\(x-3)(x+6)=0\\x=3,-6[/tex]

Taking x=3.

Hence, two consecutive odd integers are 3 and 5.

Select the graph of the quadratic function g(x) = 2x2. Identify the domain and range

Answers

Answer:

Step-by-step explanation:

None of them are correct. The closest is D.

The domain is all real x or (-∞, ∞)

The range is [0, ∞).

A dog trainer compared mean numbers of lessons for two
groups of dogs to learn a new trick.

Answers

Answer:

D

Step-by-step explanation:

Solve the equation 9=h/9​

Answers

ANSWER: h=1

EXPLANATION: I hope I help

Choose the expression that shows P(X) = x3 + 5x2 + 11x + 10 as a product of two factors.
A. 2x(x2 + 3x + 3)
B. (x + 1)(2x2 + 3x + 6)
C. (2x + 3)(x2 + x + 2)
OD. (X + 2)(x2 + 3x + 5)

Answers

Answer:

D

Step-by-step explanation:

X3+3x2+5x+2x2+6x+10

Collect like terms

X3+5x2+11x+10

The correct expression that shows the P(X) = x³ + 5x² + 11x + 10 as a product of two factors will be;

⇒ (x + 2) (x² + 3x + 5)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ P(X) = x³ + 5x² + 11x + 10

Now,

Solve the expression for the factors as;

The expression is,

⇒ P(X) = x³ + 5x² + 11x + 10

Since, -2 is the solution of the expression.

Hence, (x + 2) is one of the factor of the expression.

So, Find the second factor by dividing the expression (x³ + 5x² + 11x + 10)

by (x + 2), we get;

x + 2 ) x³ + 5x² + 11x + 10 (x² + 3x + 5

         x³ + 2x²

        --------------

               3x² + 11x

               3x² + 6x

             ------------------

                       5x + 10

                       5x + 10

                   --------------------

                           0

Thus, The second factor = (x² + 3x + 5)

Therefore,        

x³ + 5x² + 11x + 10 = (x + 2) (x² + 3x + 5)

Thus, The correct expression that shows the P(X) = x³ + 5x² + 11x + 10 as a product of two factors will be;

⇒ (x + 2) (x² + 3x + 5)

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i don’t understand how to answer this :)

Answers

Answer:

120°

Step-by-step explanation:

Answer:

I think it's a clockwise rotational symmetry from the centre of the circle.

You roll two six-sided fair nukber cubes.Whatbis the probability that you will roll snake eyes(both ones)?

Answers

Answer:

1/36

Step-by-step explanation:

Each dice has a 1 in 6 chance to land on a 1, but for both dice to land on 1's it would be [tex](\frac{1}{6} )(\frac{1}{6})[/tex]=[tex]\frac{1}{36}[/tex]

what is 1.9 rounded up to the nearest tenth​

Answers

Answer:

0

Step-by-step explanation:

Answer:

1.9

Step-by-step explanation:

It stays the same. cause its Already rounded to the nearest tenth.

Which answer choice correctly represents an algebraic expression for the quotient of a number and 9?
A. 9j
B. j ÷ 9
C. j – 9
D. 9 + j

Answers

B) j ÷ 9
Step-by-step explanation:
The word quotient means division.
A) is multiplication
B) is division so it is the right answer
C) is subtraction
D) is addition
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plsss help i’ll give brainliest if you give a correct answer

Answers

Answer:

It is x=7.

Step-by-step explanation:

(7)+8=15 You can subtract and you can get 7!!!

Answer:

X = 7

Step-by-step explanation:

If we take the equation

x + 8 = 15

and then subtract 8 on both sides we get

x = 7

so therefore x is 7 to make the value true.

Which expressions show the volume and the surface area of this cube- shaped packing box?

Answers

Answer:

top right

Step-by-step explanation:

I cant see the bottom right but the top has the proper F(t)^3 and 6 surfaces

Evaluate the following expression:
62 - 7(8 + 6 – 3²)


ANSWER STAT!!

Answers

Answer:

27

Step-by-step explanation:

HELP PLEASE TIMED
Braxton compared the number of shots taken by each team member during two basketball practices. The results are shown on the dot plots below. The mean number of shots taken at practice 1 is 13 and the mean number of shots taken at practice 2 is 14.5.


Which is an accurate comparison of the two data sets?
The typical player took more shots at Practice 1, and the shots taken at Practice 1 showed less variability than the shots taken at Practice 2.
The typical player took more shots at Practice 2, and the shots taken at Practice 1 showed more variability than the shots taken at Practice 2.
The typical player took more shots at Practice 1, and the shots taken at Practice 1 showed the same amount of variability as the shots taken at Practice 2.
The typical player took more shots at Practice 2, and the shots taken at Practice 1 showed the same amount of variability as the shots taken at Practice 2.

Answers

The typical player took more shots at Practice 2, and the shots taken at Practice 1 showed more variability than the shots taken at Practice 2.

Pls mark Brainliest :)

Answer:

Just confirming, the other person is correct.

Step-by-step explanation:

A force of 20,000 N is exerted for 5.00 s, on a 75,000 kg mass. What is the impulse of the force for this 5.00 s ?

Answers

Answer:

Check pdf

Step-by-step explanation:

The impulse of the given force is required.

The impulse of the force which is being exerted on an object of 75000 kg is 100000 Ns.

Impulse

F = Force exerted on a body = 20000 N

t = Time the force was exerted for = 5.00 s

When finding the impulse of a force the mass of the object the force is being applied to does not matter. The only thing that can affect the force is if another force is being applied by the object which here is not doing so.

Impulse is given by

[tex]J=Ft\\\Rightarrow J=20000\times 5.00\\\Rightarrow J=100000\ \text{Ns}[/tex]

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May I please have the correct answer please? I will give you whatever you want

Answers

Correct answer is: 0.015625
4^-3
= 1/4^3
=1/4x4x4
=1/64

Answer this question to get marked as brainliest!!!

Answers

It would be b, c, d, e, and h

What is the missing value in the table below?

Answers

Answer:

11

Step-by-step explanation:

please help!
Michael starts a website for people in his town to share news and photos. Before launching the website, he has his friends and family sign up. Then, he uses the equation shown to estimate the number of users, y, who will have signed up x weeks after he officially launches the website.

y = 82(1.045)x
part A: What is the rate of growth Michael expects each week after launching the website?

A.
104.5%

B.
95.5%

C.
0.045%

D.
4.5%

Answers

Answer:

D. 4.5%

Step-by-step explanation:

Michael expects the rate of growth to be 4.5% each week  because in the equation inside the parenthesis is 1.045 meaning it has already had 1 added to the original percentage so subtract 1 from 1.045 then move the decimal twice to the right and change it into a percentage sight which will give you 4.5%

the growth rate per week is 4.5% Micheal can expect.

What is rate?

Rate is a measurement to determine the change in one quantity with respect to another quantity.

The given equation is,

y = 82(1.045)x,

Where y represents number of people and x represent number of week.

After 1 week, x=1

y=82×1.045

The multiplying factor is 1.045

It implies that after 1 week growth increase by, 0.045

The percentage value of 0.045 is 4.5%

So the growth rate per week is 4.5%.

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a ball has a circumference of 9.42 cm. what is the diameter

Answers

2.998 correct me if wrong

Help me plz, thank u! :))))

Answers

Answer: twice 31 and 13 = 75

Step-by-step explanation: 31 + 31 = 62 + 13 = 75

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