Monica sells lemonade over the summer and uses Conical paper cups to serve the lemonade. Each cup is 8 cm in diameter and 11 cm tall. She starts with a 10 gallon container (1 gallon is equivalent to 3085 cm)


Part A: Determine how many paper cups or needed to empty the entire 10 gallon cooler.


Part B: If the conical cups are solid and packages of 50. How many packages are needed to be bought?

Answers

Answer 1

Answer:

a) 167 cups

b) 4 packages

Step-by-step explanation:

Given:

Diameter, d = 8cm

Height, h = 11 cm

10 gallon container

Since 1 gallon = 3085cm, 10 gallons will be:

= 10 * 3085 = 30850 cm

a) Consider that the shape of the cup is a cone. To determine how many paper cups are needed to empty the entire 10 gallon cooler, let's first find the volume of the cone.

Formula for volume of a cone:

[tex] V = \frac{1}{3} \pi r^2 h[/tex]

We know radius, r = d/2 = 8/2 = 4cm

Substituting figures in the formula, we have:

[tex] V = \frac{1}{3} \pi 4^2*11[/tex]

V = 184.31 cm³

The number of paper cups are needed to empty the entire 10 gallon cooler would be:

[tex] = \frac{30850}{184.31} = 167.38 cups [/tex]

Approximately 167 cups

b) if the cups are sold in packages of 50, the number of packages to be bought will be:

[tex] = \frac{167}{50} = 3.34 [/tex]

Which is approximately 4 packages


Related Questions

Round cake has a diameter of 30 cm . Angela places the cake on a circular cake board with a diameter 5 cm longer than that of the cake . What's the circumference

Answers

Answer:

circumference of the cake board = 109.9 cm

Step-by-step explanation:

diameter of cake = 30cm

diameter of cake board = 5cm longer than 30cm = 5 + 30 = 35cm

radius cake board = diameter ÷ 2 = 35 ÷ 2 = 17.5 cm

radius of cake board = 17.5 cm

circumference of a circle = 2 × π × r    (where π = 3.14)

circumference of a circle = 2 × 3.14 × 17.5 = 109.9 cm

Therefore the circumference of the cake board = 109.9 cm

Answer:

35pi

Step-by-step explanation:

brainliest maybe?

what is the fraction, 64/388 simplified?

Answers

Answer:

the answer is 16/97


What is the slope of the line?

Answers

Zero depending on what axis it’s on

Answer:

It is the change in y for a unit change in x along the line.

Johnny has a jar of marbles with the following number of colored marbles in it.

If Johnny randomly pulls out a marble from the jar, what is the is the probability that he will pull out a red marble?

A. 1/4
B.1/5
C.1/3
D.1/6

Answers

Can you state how many marbles there are al together and how many there are of each colour

Please help, I’m so desperate for this answer. I’ve been here for two hours and no one wants to help :/ (find x)

Answers

Answer

i can't see the image can you post it again.

Step-by-step explanation:

Answer:

29 + 64 =x which is 93 for question 2

Step-by-step explanation:

. A professora colocou em uma urna 25 bolinhas vermelhas, 15 bolinhas azuis e 10 bolinhas amarelas, todas do mesmo tamanho. Ela solicita a um aluno que retire uma bolinha sem olhar. Qual a probabilidade do aluno retirar uma bolinha azul? * 10 pontos (a) 25/50 (b) 15/50 (c) 10/50 (d) 45/50

Answers

Answer:

(b) 15/50

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

There are 25+15+10 = 50 small balls.

Of those, 15 are blue.

Probability of taking a blue ball:

15/50

This means that (b) is the correct answer.

What is the least common denominator of 2/3 and 7/9

Answers

Answer:

9

Step-by-step explanation:

2/3 = 2/3 × 3/3 = 6/9

7/9 = 7/9 × 1/1 = 7/9

Allie. Bentie and Charlie share £46.
The amount Alfie and Bertie get is in the ratio 9:5
The amount Bertie and Charlie get is in the ratio 2:1
How much does Alfie get?

Answers

A gets £21, B gets £14

(Use ADAM - Add, Divide and Multiply
3 + 2 = 5, £35 ÷ 5 = £7, £7 x 3 = £21 and £7 x 2 = £14

If you spend $448.37 on a car each month, what is your new subtotal of take-home pay after expenses?

Answers

Answer:

$629.75

Step-by-step explanation:

2,939.12 (Monthly net pay) - 1379 (Mortgage) - 302 (Food) - 448.37 (Car) - 230 (Gas) = 629.75 (Subtotal)

i need help can some please answer this 2 2/3+1 1/2

Answers

Answer:

25/6 or 4 1/6

Step-by-step explanation:

1) convert these fractions to improper fractions first:

8/3+3/2

make like denominators  by multiplying 8/3 by 2 and 3/2 by 3

so 8*2/3*2=16/6

3*3/2*3=9/6

16/6+9/6=25/6

Hope this helps!

Answer:  25/6 or 4.16

Step-by-step explanation:

what is two-thirds of 3 and3/4

Answers

Answer:

2.5

Step-by-step explanation:

2/3 *(3+3/4)=2.5

Answer:

[tex]\frac{5}{2}[/tex] or [tex]2\frac{1}{2}[/tex] or 2.5

Step-by-step explanation:

[tex]\frac{2}{3}*3\frac{3}{4}[/tex]

Convert [tex]3\frac{3}{4}[/tex] to an improper fraction. You can do this by multiplying the whole number by the denominator and add the numerator; all of this over the same denominator.

[tex]3\frac{3}{4}=\frac{3*4+3}{4} =\frac{12+3}{4} =\frac{15}{4}[/tex]

Now work it out.

[tex]\frac{2}{3}*\frac{15}{4}=\frac{30}{12}=\frac{15}{6}=\frac{5}{2}[/tex]

In case you need a mixed number as the answer, we can convert from improper fraction to mixed number.

5/2=2

4

----

1

the 2 after the equal sign is the big number, the 1 is the numerator and the 2 before the equal sign in the denominator.

[tex]2\frac{1}{2}[/tex]


can you please help me fill this out thanks

Answers

For perimeter you just add the sides up, so 15+12+9 which = 36

Answer:

i believe the perimeter is 36 im sorry if its not correct

Step-by-step explanation:

simple adding

You start with $1000 and every day you will receive the previous day’s total plus an additional $1000 a day for 30 days. How much money will you have after 30 days?

Answers

Answer:

496000$

Step-by-step explanation:

AEFG - ALMN. Find LM.

Answers

Answer:

The solution is 2.5. The problem can be solved using the proportion:  

2

4

=

x

5

Step-by-step explanation:

I hope it makes since =)

The sum of a number and 12, divided by 4, is -7

Answers

Answer:

-40

Step-by-step explanation:

Work backwards

4 * -7 = -28

-28 - 12 = -40

Write an equation for the following:

A number increased by 6 is 22.

Solve your equation (show steps) to find the number.

Answers

Answer:

16

Step-by-step explanation:

Equation: x + 6 = 22
Steps: x + 6 = 22
-6 -6
x = 16

Which ratio is equivalent to 7:3 =

Answers

Answer:

i think 14:6 is correct but im not too sure

Answer:

[tex]\frac{7}{3}=\frac{7n}{3n}[/tex]

n ∈ Z

[tex]\frac{7*(-5)}{3*(-5)}=\frac{7*(-2)}{3*(-2)}=...=\frac{7*8}{3*8}=...=\frac{7*1256}{3*1256}...etc[/tex]

Graph x^3 + 3x^2 − x − 3 = 0. What are the solutions to the equation?



x = −3, x = 0, and x = 1



x = −3, x = −1, and x = 0



x = −3, x = −1, and x = 1



x = −1, x = 1, and x = 3

Answers

Answer:

x = −1, x = 1, and x = - 3

Step-by-step explanation:

hello :

if : x=1      1^3 + 3×1^2 − 1 − 3 =1+3-1-3 =4-4=0......true

if : x=-1     (-1)^3 + 3×(-1)^2 +1− 3 =-1+3.+1-3.=0...true

if : x=3      (-3)^3 + 3×(-3)^2 + 3 − 3 =-27+27+3-3.=0.....true

Oblicz objętość graniastosłupa o wymiarach podanych na rysunku

Answers

Answer:

In the image attached you can observe that we have three prism, we need to find their volumes. Remember, the volume of any prism is the product between its base-area and its height.

(a)

This is a trapezoidal prism, which is defined as

[tex]V_{a}=\frac{(B+b)h_{1} }{2} \times h_{2} \\ V_{a}=\frac{(12+9)4}{2} \times 16\\ V_{a}=42 \times 16 = 672 \ cm^{3}[/tex]

(b)

This is a triangular prism, which is defined as

[tex]V_{b}=\frac{1}{2} b \times h_{1} \times h_{2}\\ V_{b}= \frac{1}{2} \times 36 \times 25 \times 53\\ V_{b}=23,850 \ cm^{3}[/tex]

(c)

In this prism, 6 decimeters are equivalent to 60 centimeters. It's volume is defined as

[tex]V=\frac{1}{2} \times 48 \times 60 \times 80 = 115, 200 \ cm^{3}[/tex]

evaluate the following function is f(x)=3x-2 and g(x)=5x+1 what is -2•f(4)+3•g(1)

Answers

Answer:

work is shown and pictured

Of the last 12 contestants on a game show, 9 qualified for the next round.
​ What is the experimental probability that the next contestant will qualify for the next round?

Answers

Answer:

0.75

Step-by-step explanation:

Given:  

Of the last 12 contestants on a game show, 9 qualified for the next round.

To find:

The experimental probability that the next contestant will qualify for the next round.

Solution:

Probability refers to the chances of occurrence of some event.

Probability = Number of favourable outcomes/Total number of outcomes

Number of contestants who qualify for the next round = 9

Total number of contestants = 12

So,

The experimental probability that the next contestant will qualify for the next round = [tex]\frac{9}{12}=\frac{3}{4}=0.75[/tex]

A cylindrical-shaped mug has a diameter of 8 centimeters and a height of 10 centimeters. What is the volume of the mug? Use 3.14 for pi. *
A. 1256 cubic centimeters
B. 502.4 cubic centimeters
C. 2512 cubic centimeters
D. 2009.6 cubic centimeters

Answers

Answer:

C. 2512

Step-by-step explanation:

First,you do

3.14 x 10 x 8

25 12 cubic centimeters

By using the formula for the volume of a cylinder, we will see that the volume of the mug is 502.4 cm^3

How to get the volume of the mug?

For a cylinder of radius R and height H, the volume is:

V = pi*R^2*H

In this case, we know that H = 10cm, and the diameter is 8cm, then the radius is half of that:

R = 8cm/2 = 4cm

Replacing that in the volume equation we get:

V = 3.14*(4cm)^2*10cm = 502.4 cm^3

So the correct option is B.

If you want to learn more about volume, you can read:

https://brainly.com/question/1972490

Kari estimated the quotient of Negative 12 and one-fifth divided by 4 and two-fifths to be –8. Which best describes her error? Kari multiplied the compatible numbers –12 and 4. Kari found that the quotient of a negative number and a positive number is negative. Kari found that the quotient of a positive number and a negative number is positive. Kari added the compatible numbers –12 and 4.

Answers

Answer:

D. Kari added the compatible numbers –12 and 4.

Step-by-step explanation:

Our numbers are [tex]-12\frac{1}{5}[/tex] and [tex]4\frac{2}{5}[/tex]. We want to find Kari's error. Let's look through the answer choices and try them out:

A: "Kari multiplied the compatible numbers –12 and 4"

Well, if we multiply -12 by 4, we get -48, which is very different from -8, so A cannot be right.

B: "Kari found that the quotient of a negative number and a positive number is negative"

This is actually a true statement because whenever we multiply or divide a positive number and a negative number, the result is always negative. So, this isn't an error. B is wrong.

C: "Kari found that the quotient of a positive number and a negative number is positive"

If B is a true statement, C must be false - and that's right: it is false because the quotient of a positive number and a negative number is always negative not positive. Eliminate C.

D: "Kari added the compatible numbers –12 and 4"

What do we get if we add -12 and 4? We get: -12 + 4 = -8, which is exactly the number that Kari got. So instead of dividing, Kari accidentally added and got -8, which is the wrong answer. Thus, D is correct.

Answer:

Last one

Kari added the compatible numbers –12 and 4.

Step-by-step explanation:

-12⅕ ÷ 4⅖

-61/5 ÷ 22/5

-61/5 × 5/22

-61/22

She probably got -8 by adding -12 and 4

What’s the value of x?

Answers

Answer:

19

Step-by-step explanation:

In any triangle, the sum of the measures of the angles is 180 degrees.

(5x + 5) + (x + 16) + (2x + 7) = 180

Combine like terms.

8x + 28 = 180

8x = 152

x = 19

It’s delta math for it

Answers

Answer:

[tex]\sqrt{x^{2}-7[/tex]

Step-by-step explanation:

Negative exponents flip the fraction, fraction exponents imply a radical to the denominator's degree, so flip the fraction and take the square root of what is in parentheses

We know that :

[tex]\bigstar \ \ \boxed{\mathsf{a^{-1} = \dfrac{1}{a}}}[/tex]

[tex]\mathsf{Given \ question \ is : \dfrac{1}{(x^2 - 7)^{\frac{-1}{2}}}}[/tex]

Using the above formula, we can write it as :

[tex]\implies \mathsf{\dfrac{1}{\dfrac{1}{(x^2 - 7)^{\frac{1}{2}}}}}[/tex]

[tex]\implies \mathsf{(x^2 - 7)^{\frac{1}{2}}}[/tex]

[tex]\implies \mathsf{\sqrt{x^2 - 7}}[/tex]

I am thinking of two unique whole numbers
Their sum is 12
The larger number is even
Twice the smaller number less than the larger number equals 6

Answers

Answer:

10 and 2

Step-by-step explanation:

10+2=12

10 is even

2*2=4  10-4+6

Hope this helps ! :)

Give the sum of 1/2 and 8/12 in simplest form

Answers

Answer:

7/6

Step-by-step explanation:

sum of 1/2 & 8/12 = 1/2 + 8/12

= 7/6

hope this help you !! ;))))

Find the cosecant of angle t (written as a fraction)

Answers

Answer:~0.9998

Step-by-step explanation: cos T = side adj. to angle t / the hypotenuse

Cos t = 56/65 ~ 0.998

can you please help me fill this out thanks

Answers

Answer:

30 mm

Step-by-step explanation:

There are 4 sides to this parallelogram. Two of the sides have 3 mm as the length and the other two have 12 mm.

         2 (3 mm) + 2 (12 mm)

         = 6 mm + 24 mm

         = 30 mm

Answer:

30

Step-by-step explanation:

Since the long side that is blank is the same length of 12 and the short side is the same length of 3.

12+12=24

3+3=6

24+6=30

Calculate:
400 x 3235 =
You must show full working out.

Answers

Answer:

1294000

Step-by-step explanation:

There are two ways to do this: The short way and the long way:

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