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Leokris [45]
3 years ago
13

Akeem is carrying water in a bucket, but is unsure how many gallons it holds. He knows that the bucket and water weigh 32.49 pou

nds together. The bucket alone weighs 2.61 pounds and the water weighs 8.3 pounds per gallon. How many gallons of water is Akeem carrying? Add or divide?
Mathematics
1 answer:
bixtya [17]3 years ago
5 0

Answer:

Step-by-step explanation:

8.3g+2.61=32.49

8.3g=29.88

g=3.6

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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
Mashutka [201]

Here is the full question

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.

Equation:

y=-16x^2+153x+98

Answer:

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Step-by-step explanation:

Given equation :

y=-16x^2+153x+98 shown the expression of a quadratic equation

Let y =0

∴

0 = -16x^2+153x+98

where;

a=-16\\b=153\\c=98

Using the quadratic formula:

x=\frac{-b\±\sqrt{b^2-4ac}}{2a}

replacing it with our values; we have:

x=\frac{-153\±\sqrt{153^2-4(-16)(98)}}{2(-16)}

x=\frac{-153\ + \sqrt{153^2-4(-16)(98)}}{2(-16)}    OR     x=\frac{-153\ - \sqrt{153^2-4(-16)(98)}}{2(-16)}

x_1=10.17   OR     x_2=-0.60

Hence, we go by the positive value since,  is the time that the rocket will hit the ground.

x= 10.17

x = ≅ 10.2 seconds

Therefore, the rocket will hit the ground,  to the nearest 100th of second.  = 10.2 seconds

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