A 3-gallon tub of ice cream yields about 90 scoops of ice cream. There are roughly 3785 cubic centimeters in 1 gallon. Determine the radius of each scoop, to the nearest tenth.

Answers

Answer 1

Answer:

The radius of the scoop is r = 3.1 cm

Step-by-step explanation:

Since 3 gallons yields 90 scoops, and 1 gallon = 3785 cm³.

3 gallons = 3 × 3785 cm³ =  11355 cm³

So we have 11355 cm³ in 3 gallons which is also the volume of 90 scoops.

Since 90 scoops = 11355 cm³, then

1 scoop = 11355 cm³/90 = 126.2 cm³

Now, if each scoop is a sphere, the volume is given by V = 4πr³/3 where r is the radius of the scoop. Since we need to find the radius of the scoop, r, making r subject of the formula, we have

r = ∛(3V/4π)

Substituting V = 126.2 cm³, we have

r = ∛(3× 126.2 cm³/4π)

= ∛(378.6 cm³/12.57)

= ∛30.13 cm³

= 3.1 cm

So, the radius of the scoop is r = 3.1 cm


Related Questions

helpp whats the answer

5x=15

Answers

Answer:

[tex]\boxed{\tt x=3}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]5x=15[/tex]

and asked to solve for [tex]x[/tex]. Therefore, we must isolate the variable on one side of the equation.

[tex]x[/tex] is being multiplied by 5. The inverse of multiplication is division. Divide both sides of the equation by 5.

[tex]\frac{5x}{5}=\frac{15}{5}[/tex]

[tex]x=\frac{15}{5}[/tex]

[tex]x=3[/tex]

Let's check our solution. Plug 3 in for x and solve.

[tex]5x=15[/tex]

[tex]5(3)=15[/tex]                      

[tex]15=15[/tex]

This checks out, so we know our solution is correct.

The solution to 5x=15 is x=3.

pleaseeeeeeee help me

Answers

Answer:

by my best guess, x = -5 (negative five)

Step-by-step explanation:

-(x + 4) – 3x + 8 = 4(x – 3)

Answers

Answer:

x = 2

Step-by-step explanation:

instructions above :)

Perform the indicated row operations



Answers

Answer:

[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 30 & 24 & 6\end{bmatrix}[/tex]

Step-by-step explanation:

Given matrix is,

[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & 3 & -2 & 5\\ 0 & 10 & 8 & 2\end{bmatrix}[/tex]

Operations performed,

-10R₂ → R₂

[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 10 & 8 & 2\end{bmatrix}[/tex]

3R₃ → R₃

[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 30 & 24 & 6\end{bmatrix}[/tex]

Answer:

the multiple choice is A

Step-by-step explanation:

How do you solve a problem involving squeeze theorem?

Answers

Answer:

Step-by-step explanation:

if two functions are squeezed together at a particular point , then any function trapped between them will get squeezed to that point. the squeeze theorem deals with limit value , rather than function value. the squeeze theorem sometimes called Pinch Theorem.

Yesterday, Tiffany's Doughnut Shop sold 1 1/2 times as many chocolate doughnuts as glazed doughnuts. If they sold 0.7 of a tray of glazed doughnuts, how many total doughnut trays did they sell?

Answers

Answer:

learn it

Step-by-step explanation:

Can someone answer these for me ?

Answers

i can’t see it? i can tell it’s kami but what does it say?
i can’t see the questions

i need to know the answer as soon as possible.

Answers

0.35p

Because the price also indicates percentage

Answer:

p - 0.35, so C.

It's not A because that's the regular price times the percentage off.

can someone help me with this please

Answers

Answer:

I think the answer is E.

Step-by-step explanation:

-3 -4= -7 and that's less than nine.

if x was 3 it would be -7 + 3 = -4 which is still less than nine

if x was -11 it would be -7 -11 = -18 which is also lower than nine

if x was -3 it would be -7 -3 = -10 that's less than nine as well

Answer:

I only

Step-by-step explanation:

I) 3

9 > -3 - 4(3)

9 > -3 - 12

9 > -15

9 is great than -15 so the value of 3 works.

II). -11

9 > -3 - 4(-11)

9 > -3 +44

9 > 41

9 is actually less than 41 so the value of -11 does not work

III). -3

9 > -3 - 4(-3)

9 > -3 + 12

9 > 9

9 is equal to 9, not greater than so the value of 3 does not work

X divided by 11 equals 10 divided by 12 what’s x

Answers

Answer:

x/11 = 10/12

x = 10*11/12= 55/6

Step-by-step explanation:

Solution:

[tex] \huge \pink {\tt { \frac{x}{11} = \frac{10}{12}}} [/tex]

By cross multiplication, we get

12x = 110

or, x = 110/12 = 55/6

Answer: x = 55/6

Faith lost 2 1/2 pounds in 10 days. If
Faith lost the same amount of pounds each
day, how much weight did Faith lose per
day?
Please help me

Answers

Answer:

1/4 pound

Step-by-step explanation:

2 1/2 divided by 10

=

1/4

or

5/2 divided by 10

=

1/4

Answer: 1/4 lbs

Step-by-step explanation:

To find weight lost each day, you have to divide total weight lost 2 1/2 lbs by total number of days 10.

(2 1/2) / 10 = 5/2 * 1/0 = 1/4 lbs lost each day

QUESTION 8 A motorboat leaves a harbor and travels at an average speed of 6 mph towards a small island. Two hours later, a cabin cruiser leaves the same harbor at an average speed of 12 mph toward the same island In how many hours after the cabin cruiser leaves the harbor will it be alongside the motorboat?

Answers

Answer:

2 hours

Step-by-step explanation:

Distance = rate × time

That is,

d=rt

Let

t = time (hours) cabin cruiser traveled

t + 2 = time (hours) motorboat traveled

motorboat = 6 mph

Cabin cruiser =12 mph

Motorboat distance

d=rt

d = 6(t + 2)

Cabin cruiser distance

d=rt

d = 12(t)

Equates the two distance

6(t + 2) = 12t

Open bracket

6t + 12 = 12t

12 = 12t - 6t

12 = 6t

Divide both sides by 6

t = 12 / 6

= 2

t = 2 hours

The cabin cruiser will be alongside the motorboat in 2 hours

Review the following equation. Redo the work for the equation. What is the
value of x?
2(x + 1) = x - 4(x-2)
2x 2 = x-4(x-2)
2x2 = x - 4x - 8
2x - 2 =-3x - 8
-6 = -5x
-6/5 = x

What is the answer?:
x= 6/5
x= 5/7
x= 7/5
x= -3/5

Answers

Answer:
x = 6/5

Step by step explanation:

2x + 2 = x - 4x + 8

2x + 2 = -3x + 8

2x + 3x = 8 - 2

5x/5 = 6/5

x = 6/5

ANSWER THIS QUESTION WITH WORKING PLEASE :>!!!

Answers

Step-by-step explanation:

y + 65°= 180° (Being co-interior angle)

y = 180° - 65°

y = 115°

Next we will find of the next co-interior angle which is A and D

(2x - 10)° + (3x + 20)° = 180° ( Same reason)

Now we will keep the like ones together.

2x° + 3x° - 10° + 20° = 180°

5x° + 10° = 180°

5x = 180° - 10°

5x = 170°

x = 170°/5

x = 34°

Now we need to find (2x - 10)° and (3x + 20)°

(2x - 10)°

=(2×34-10)°

=(68-10)°

=58°

(3x + 20)°

=(3×34-20)°

=(102-10)°

=92°

Explain what mistake is made in the following false statement: 3(x+4)(x+7)=(3x+12)(3x+21)

Answers

Answer: The 3x+21

Step-by-step explanation:

3(x=4) = (3x+12) The (3x+12) is being multiplied by (x+7) and the 3 should only be distributed to (x+4) which meant the the equation when simplified should have become (3x=12)(x+7).

Which function describes the table of values?

Answers

Answer:

C. f(x)=3x-1

eg. f(2)=3(2)-1 = 5

Using a portion of her savings as a down payment, Sarah bought a new car in order to commute to her new job, reducing her savings account to only $2220. From her expendible income of $2440, essential expenses (fixed) are $1010 per month, essential expenses (flexible) are $500 per month, and nonessential expenses are $430 per month. Sarah has decided to reduce her nonessential expenses for 9 months to only $230 per month, in order to build her savings back up to $5820. Then she will return her nonessential expense budget to the original $430 per month. Choose the reason or reasons why Sarah would spend less money every month temporarily in order to have this fund. I. She realizes the importance of having an emergency fund. II. She wants to build up her retirement account. III.She understands that reducing expenses can increase savings. a. I b. II and III c. I and III d. II

Answers

Answer:

C. I and III

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Find the distance between the following points:
A(9,2) and B(3,6).

Answers

Answer:

d = 2[tex]\sqrt{3}[/tex]

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(3-9)^2+(6-2)^2} \\d= \sqrt{(-6)^2+(4)^2} \\d= \sqrt{(36)+(16)} \\d= \sqrt{52} \\d=2 \sqrt{13}[/tex]

Can someone help plz

Answers

Answer: x=-7

Step-by-step explanation:

1) The angles of a triangle are equal to 180

2) Add your angles together and set them equal to 180 like this:

x+59+x+51+84=180

3) Combine like terms:

2x+ 194 =180

4) Subtract 195 from both sides:

2x+ 194 =180

    - 194   -194

2x = -14

5) Divide by 2 on both sides

2x= -14

/2     /2

x= -7

(7x+2y)^2-25y^2 factorise this pls.
pls help me!! Any body there!!​

Answers

Answer:

(7x + 5y) (7x - 5y)

What is 180(n-2)=s when solving for N​

Answers

Answer:

n = s/180 +2

Step-by-step explanation:

180(n-2)=s

Distribute

180n - 360 =s

Add 360 to each side

180n -360+360 = s+360

180n = s+360

Divide each side by 180

180n/180 = s/180 + 360/180

n = s/180 +2

Ally's hair grew from 10 10 \frac{3}{4} 4 3 ​ inches to 13 13 \frac{1}{4} 4 1 ​ inches over 5 months. At what rate did Ally's hair grow per month?

Answers

0.5 inches a month.

I believe you subtract 13 1/4 by 10 3/4 = 2 1/2.

Then you divide by 5.

Which of these points is farthest from the origin?
A. (0,8)
B.(2, 11)
c.(-6,-8)
D. (-12,0)

Answers

Answer:

d:-12,0

Step-by-step explanation:

what is the answers to
8x-2-5x+7= ​

Answers

Answer: 3x +5

Step-by-step explanation:

Group the variables first 8x-5x is 3x. Then look at the numbers -2+7 is 5.

You can't combine letters and numbers so it's as far as you can go.

please help i’m very confused on this one

Answers

Answer:

  34.224

Step-by-step explanation:

C(2.76, 310) means you want to evaluate the expression for g=2.76 and d=310. Put those numbers where the variables are and do the arithmetic.

  [tex]C(2.76,310)=\dfrac{2.76\cdot 310}{25}=\dfrac{855.6}{25}=\boxed{34.224}[/tex]

please answer the question

Answers

20 maybe but dont count on me I'm dumb

Solve for X: -7 06 6 6- 0-6

Answers

Answer:

-6<x<9 is the right option.

valuate y = 3x - 5 when x = 6.

Answers

Answer:

y= 3x-5

  = 3*6 -5= 18-5 =13

Step-by-step explanation:

3(6) - 5
12 - 5
7




I think it would be correct

I need help solving 8g+10=35+3g. Please help!!

Answers

Answer:

g = 5

Step-by-step explanation:

Step 1: Write out equation

8g + 10 = 35 + 3g

Step 2: Subtract 3g on both sides

5g + 10 = 35

Step 3: Subtract 10 on both sides

5g = 25

Step 4: Divide both sides by 5

g = 5

A number is rounded to the nearest tenth and hundredth. What is the number that was rounded? (2 points)
Number Rounded to Nearest Tenth Rounded to Nearest Hundredth
0.6
0.58
a
0.574
b
0.579
С
0.585
O d
0.681

Answers

Answer: The answer is B i just did this test

Step-by-step explanation:

The only number on the list that matches the rounding requirement is 0.579. Hence, the correct option is B.

What is rounding a number to some specific place?

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

We can consider what the offered numbers are when they are rounded to hundredths:

 0.574 ⇒ 0.57

 0.579 ⇒ 0.58 . . . matches the requirement

 0.585 ⇒ 0.59

 0.681 ⇒ 0.68

The only number on the list that matches the rounding requirement is 0.579.

Hence, the correct option is B.

Learn more about rounding numbers  here:

https://brainly.com/question/1285054

#SPJ2

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