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Neko [114]
2 years ago
13

Lena has started painting her room. She is down to her last can of paint. The cans of paint that she is using are 11 inches tall

and have a diameter of 7 inches. How much paint does she have left if the paint is now 2 inches from the top of the can?
Question options:

134.75π in3

110.25π in3

154π in3

22π in3
Mathematics
1 answer:
MrRissso [65]2 years ago
3 0

Answer:

110.25π in^{3}

Step-by-step explanation:

The can is a circular cylinder and has the formula for the volume to be

V = \pi r^{2} h

r = 3.5 and h = 11

Since the paint is now 2 in. from the top of the can, then there are 9 in. left in the can, which means there is 9/11 of the total volume in the can.

Therefore,  V = (9/11)\pi (3.5^{2} )(11)

 we get V = (9/11)(12.25)(11)π

                 =  110.25π in^{3}

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3 0
3 years ago
Jim's soccer team is making fruit baskets for a fundraiser. They have 88 peaches, 60 bananas, and 54 kiwis to use. If each baske
cluponka [151]

The greatest number of fruit baskets they can make is 2 with each one having 44 peaches, 30 bananas and 27 kiwis

<h3><u>Solution:</u></h3>

Jim’s fruit basket has 88 peaches, 60 bananas and 54 Kiwis to  use.

If each basket have same number of each type, we have to determine the greatest number of fruit baskets they can make  

We need to find greatest common factor of 88, 60 and 54

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.

<em><u>Greatest common factor of 88, 60 and 54:</u></em>

The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 88 are: 1, 2, 4, 8, 11, 22, 44, 88

Then the greatest common factor is 2

On dividing the number of fruits by 2 we get

\begin{array}{l}{\text { Apples in each basket }=\frac{88}{2}=44} \\\\ {\text { Bananas in each basket }=\frac{60}{2}=30} \\\\ {\text { Kiwis in each basket }=\frac{54}{2}=27}\end{array}

Hence, there can be 2 basket with each one having 44 peaches, 30 bananas and 27 kiwis

6 0
3 years ago
The odds of winning a teddy bear are 5:8. The probability of winning a framed picture is 43%. For which do you have a better cha
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Answer:

I'd say you had a better chance going 5:8

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3 years ago
Where does the length of day remain the same throughout the year?
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The letter b represents a nonzero constant. Solve 2bx-bx= -8 for x?
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Answer:

x = -8/b

Step-by-step explanation:

2bx-bx= -8

bx = -8

Divide by b since b is nonzero

x = -8/b

3 0
3 years ago
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