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romanna [79]
3 years ago
5

WILL MARK BRAINLIST ! Carissa also has a sink that is shaped like a half sphere. The sink has a volume of 20003π in3. One day th

e sink clogged, so she had to use a cup to scoop the water out of the sink. The sink is completely full when Carissa begins scooping.
The cup is a cone with a diameter of 4 inches and a height of 8 inches. How many cups of water must Carissa scoop out of the sink with this cup to empty it? Round to the nearest whole number.

BE SURE TO SHOW YOUR WORK or THINKING for full credit
Mathematics
1 answer:
faltersainse [42]3 years ago
7 0

Answer:

63 cups of water.

Step-by-step explanation:

The volume of a cone is V = 1/3πr²h. The diameter of the cup is 4, the radius of the cup is 2, so the volume is:

1/3π×8×2²

8/3π×4 = 32π/3.

Divide the volume of the sink by the volume of the cup:

2000π/3 ÷ 32π/3 = 6000π/96π = 62.5.

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n aquarium holding African cichlids is 6 inches higher than it is wide. Its length is 33 inches, and its volume is 9240 cubic in
sukhopar [10]

Answer: Height = 20 inches

Width = 14 inches

Step-by-step explanation:

The aquarium is rectangular. The formula for determining the volume of a rectangular box is expressed as

Volume = LWH

Where L,W and H represents the length, width and height of the box.

The aquarium holding African cichlids is 6 inches higher than it is wide. It means that

H = W + 6

Its length is 33 inches, and its volume is 9240 cubic inches. It means that

9240 = 33W(W + 6)

9240/33 = W(W + 6)

280 = W² + 6W

W² + 6W + (6/2)² = 280 + (6/2)²

(W + 3)² = 280 + 9 = 289

Taking square root of both sides, it becomes

W + 3 = √289 = 17

W = 17 - 3

W = 14

H = W + 6 = 14 + 6

H = 20

3 0
3 years ago
10. A video rental store charges a $20 membership fee and $2.50 for each video
Pavel [41]
Y= 2.50(x) + $20 is the linear equation

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Y=2.50(15) + $20
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19 videos were rented in 3 months
8 0
3 years ago
Which expression is equal to
Andreyy89
Please fix the equation in the second part. Is it + or -.
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3 years ago
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The cost of coffee is determined by the type of coffee beans that are mixed together. The cost of a local mix of Arabica and Rob
Sati [7]
Substituting 1000 for A, we have 1200R+700,000=1,000,000.  Subtracting 700,000 from both sides, we have 1200R=300,000.  Dividing by 1200, we see that R=250.
7 0
3 years ago
A waiter earns $128 for six hours of work. The total included $86 in tips. How much does the waiter earn each hour??A waiter arm
Lady bird [3.3K]

Answer:

The waiter earns $7 per hour

Step-by-step explanation:

In this question, we are asked to calculate the amount a waiter earns per hour at work given the total he had earned including tips.

To solve this question, we can see that we have been given the total amount he has earned and also the amount he has also earned in tips.

Now, to get the standard amount he’s supposed to earn per hour, firstly, we have to subtract the amount he has earned in tips from the total. Mathematically that is 128-86 = $42

This means, by standard he has earned $42 in six hours. Now, we need to calculate the amount she earns by hour.

To do this, we simply divide the total amount earned by the number of hours.

Mathematically that is $42/6 hours = $7 per hour

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