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Lorico [155]
3 years ago
8

Order the cones from least volume to greatest volume

Mathematics
1 answer:
ehidna [41]3 years ago
5 0

Answer:

Cone A, Cone C, Cone B

Step-by-step explanation:

The volume of a cone is V=πr^2h/3 where V represents the volume, r represents the radius, and h represents the height.

That means the volume of cone A would be:

V = π * 5^2 * 6/3

V = π * 25 * 2

V = 50π

And the volume of Cone B would be:

V = π * 7^2 * 4/3

V = π * 49 * 4/3

V = 65.33π (about)

Lastly, the volume of Cone C would be:

V = π * 6^2 * 5/3

V = π * 36 * 5/3

V = 60π

65.33π > 60π > 50π

Therefore, Cone B has the largest volume, then Cone C, and, lastly, Cone A.

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Step-by-step explanation:

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Two cars got an oil change at the same auto shop. The shop charges customers for each quart of oil plus a flat fee for labor. Th
dexar [7]

Answer:

The labor fee is $14.25, each quart of oil costs $2.25.

Step-by-step explanation:

Let $x be thee price of each quart of oil and $y be a flat fee for labor.

1. If the oil change for one car required 5 quarts of oil, then these 5 quarts cost $5x and together with a flat fee for labor it cost $25.50. Thus,

5x+y=25.50.

2. If the oil change for another car required 7 quarts of oil, then these 7 quarts cost $7x and together with a flat fee for labor it cost $30.00. Thus,

7x+y=30.00.

3. Subtract from the second equation the first one, then

7x+y-(5x+y)=30.00-25.50,\\ \\7x+y-5x-y=4.50,\\ \\2x=4.50,\\ \\x=\$2.25.

Substitute it into the first equation:

5\cdot 2.25+y=25.50,\\ \\y=25.50-11.25,\\ \\y=\$14.25.

The labor fee is $14.25, each quart of oil costs $2.25.

6 0
3 years ago
Give the zeros (if any) of the quadratic function f(x)=3(x-4)(x+11).
maxonik [38]
Set each of the binomials equal to zero and solve for x. The two values will be the zeros of the equation:
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x-4 = 0         x + 11 = 0
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3 years ago
Please answer this without making mistakes
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Answer:

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Cost for 2 pounds of bananas = $1.28

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Hence the cost of bananas per ounce is $0.04

Hope it helped!

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3 years ago
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igor_vitrenko [27]
<span>the answer is D. 9,261 – 2,857</span>
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3 years ago
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