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castortr0y [4]
4 years ago
15

Beth filled 32 jars with paint. If each jar holds 1 pint of paint, how many gallons of paint did Beth use?

Mathematics
2 answers:
Crazy boy [7]4 years ago
4 0
4 pints= 1 gallon
32 jars= 32 pints
32 pints/ 4 pints=8 gallons of paint
AnnyKZ [126]4 years ago
3 0
If you would like to know how many gallons of paint did Beth use, you can calculate this using the following steps:

1 jar ... 1 pint of paint
32 jars ... x pints of paint = ?

1 * x = 1 * 32
x = 32 pints of paint

1 gallon ... 8 pints
y gallons = ? ... 32 pints of paint

1 * 32 = 8 * y
32 = 8 * y     /8
y = 32 / 8 = 4 gallons of paint

Result: Beth used 4 gallons of paint.
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prisoha [69]

The volume of the prop is calculated to be 1,875.6 cubic inches.

Step-by-step explanation:

Step 1:

The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying \frac{1}{3} with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 8 inches and the height is 12 inches.

The volume of the cone: \frac{1}{3} \pi r^{2} h = \frac{1}{3} (3.14) (8^{2}) (12)= 803.84 cubic inches.

Step 3:

The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying \frac{4}{3} with π and the cube of the radius (r³).

Here the radius is 8 inches. We take π as 3.14.

The volume of a full sphere= \frac{4}{3} \pi r^{3} = \frac{4}{3} (3.14) (8^{3} ) = 2,143.573 cubic inches.

The volume of the half-sphere= \frac{2,143.573}{2} = 1,071.7865 cubic inches.

Step 4:

The total volume = The volume of the cone + The volume of the half sphere,

The total volume =  803.84+1,071.7865 = 1,875.6265 cubic inches.

Rounding this off, we get the volume of the prop as 1,875.6 cubic inches.

6 0
3 years ago
What is 2 over 3 + 4 over3
Fynjy0 [20]
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8 0
3 years ago
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Nutka1998 [239]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
Jacob invested $300 in a savings account and earned $81 in simple interest at the end of 9 years. what was the interest rate
Brilliant_brown [7]

Answer:

A.

Step-by-step explanation:

We use the simple interest equation of A=P(1+rt).

A-the total amount with interest earned

P-the initial amount or principal

r-rate

t-time in years

We substitute the values P=300, A=381, and t=9. We then solve for r.

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Simplify.

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We subtract 1 from both sides.

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Simplify.

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We divide by 9.

\frac{0.27}{9}=\frac{9r}{9}

r=0.03

We need to convert the decimal to a percentage by multiplying by 100.

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7 0
4 years ago
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Ierofanga [76]
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7 0
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