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2 years ago

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A hot air balloon is dropping from a height above the ground at a steady rate of 8 feet per second. It starts from a height of 7

65 feet. After t-seconds it has hit a height of 421 feet. Set up and solve an equation for the value of t.

1 answer:

pickupchik [31]2 years ago

3 0

I believe the equation would be 765 -8t = 421. Then you would solve for t and get 43 seconds. I hope this helps!! :)

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sleet_krkn [62]

It costs $ 3.4 to fill the hot tub

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

Given that, You are putting a rectangular hot tub on your back porch

The rectangular hot tub is of shape cuboid

<em><u>The volume of cuboid is given as:</u></em>

$\text{Volume of cuboid } = length \times width \times height$

It is 6 feet long, 5 feet wide, and 3 feet deep

Therefore,

length = 6 feet

width = 5 feet

height = 3 feet

<em><u>Thus volume of rectangular hot tub is:</u></em>

$volume = 6 \times 5 \times 3 = 90$

Thus volume of rectangular tub is $90 ft^3$

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We know that,

1 cubic feet = 7.48052 gallon

Therefore,

90 cubic feet = 7.48052 x 90 = 673.247

Thus gallons of water tub can hold is 673.247 gallons

Given that it costs $ 5 per 1000 gallons

1000 gallons = $ 5

Therefore,

1 gallons = $ $\frac{5}{1000}$

<em><u>Find for 673.247 gallons</u></em>

673.247 gallons = $\frac{5}{1000} \times 673.247 = 3.366235 \approx 3.4$

Thus it costs $ 3.4 to fill the hot tub

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Step 4- Subtract the smallest variable to both sides.

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