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

. 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.

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)

what is the fraction, 64/388 simplified?

Answers

Answer:

the answer is 16/97

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]

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:

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

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]

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

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:

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 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

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?

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

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

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

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:

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 !! ;))))

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 =)

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]

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

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

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 ! :)

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


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.

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]

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

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:

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

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

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