8th grade geometry help please?!

You have 8 gallons of lemonade to sell. You use cone-shaped cups that are 9 centimeters in diameter and 12 centimeters tall. Eac

andre [41]

You will need 119 cups to sell all of the lemonade.

Step-by-step explanation:

Given,

Diameter of cups = 9 cm

Radius of cup = $\frac{Diameter}{2}=\frac{9}{2}=4.5\ cm$

Height of cups = 12 cm

We will find volume of cup.

$Volume = \frac{1}{3}\pi r^2h\\$

Putting all the values

$Volume=\frac{1}{3}(3.14)(4.5)^2(12)\\\\Volume=\frac{1}{3}(3.14)(20.25)(12)\\\\Volume= \frac{763.02}{3}\\\\Volume= 254.34\ cm^3$

Therefore;

Each cup can hold 254.34 cubed centimeter of lemonade.

Number of gallons = 8

1 gallon = 3785 cm³

8 gallons = 3785*8 = 30280 cm³

Let,

x = Number of cups

Volume of lemonade in one cup * Number of cups = Volume of 8 gallons

254.34x=30280

Dividing both sides by 254.34

$\frac{254.34x}{254.34}=\frac{30280}{254.34}\\x=119.05$

Rounding off to nearest whole number

x = 119

You will need 119 cups to sell all of the lemonade.

Keywords: volume, division

Learn more about volume at:

#LearnwithBrainly

4 0

2 years ago

Work the following problem

neonofarm [45]

Answer:

Option B is the correct answer.

Step-by-step explanation:

Given

List Price=$720

The percentage of discount=13%

In order to find the amount of discount, 13% of the amount has to be calculated. To calculate 13% , the amount is multiplied by 13/100.

Amount of discount=13% of list price

=720*13/100

=720*0.13

=$93.60

The amount of discount is $93.6..

5 0

3 years ago

Fran has a poster that measures 3/4 square yard in area the length of the poster is 1/3 yard what is the width of the poster

Harrizon [31]

Answer:

9/4 yards

Step-by-step explanation:

A poster is a rectangle.

Area of rectangle = Length × Width

Given:

Area = 3/4 yd

Length = 1/3 yd

Substitute the given values to the equation.

3/4 = 1/3 × w

3/4 = 1/3w

3/4 ÷ 1/3 = w

3/4 × 3/1 = w

9/4 = w

6 0

3 years ago

Solve the equation 5x + 7y = 35 for y.

erastovalidia [21]

Answer:

D. y = -5/7x + 5

Step-by-step explanation:

5x + 7y = 35

-5x -5x

7y = 35 - 5x

/7 /7 /7

y = 35/7 - 5/7 x

y = 5 - 5/7x

4 0

3 years ago

Read 2 more answers

A chemist has a 40% alcohol solution and a 25% alcohol solution. How much of each should he mix together to get 50 liters of a 3

ludmilkaskok [199]

Answer:

33 1/3 L of the 40% solution, 16 2/3 L of the 25% solution

Step-by-step explanation:

Set up two equations...

Let x represent the number of Liters of the 40% solution

Let y represent the number of Liters of the 25% solution

We need 50 liters total, so

x + y = 50

and we need the 50 L to be 35% solution, so

0.4x = 0.25y = 0.35(50)

Solve the first equation for one variable...

x = 50 - y (subtract y from both sides in equation 1)

Now substitute that value into the second equation...

0.4(50 - y) + 0.25y = 17.5 (x becomes 50 - y, 0.35(50) = 17.5)

Now solve for y...

20 - 0.4y + 0.25y = 17.5

-0.15y = -2.5

y = 16.66666667

y = 16 2/3 L

So we need to plug that into the first equation to find 'x'

x + 16 2/3 = 50

x = 50 - 16 2/3

x = 33 1/3

3 0

3 years ago

Read 2 more answers