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Xelga [282]
3 years ago
8

An aquifer holds 146,000 cubic feet of water. Water exits through a well at a steady rate of 500 cubic feet per day, and the aqu

ifer is replenished at a constant rate of x cubic feet per day. If the water in the aquifer is used up in a year (365 days), what is the value of x? Ignore evaporation and other losses.
Mathematics
2 answers:
m_a_m_a [10]3 years ago
8 0

Answer:

The value of x = 100  ft^3/ day

Step-by-step explanation:

We need to look at what amount of water comes in and what amount of water leaves

What comes in:  x ft^3/ day

What leaves : 500x ft^3/ day

We start with 146 000 ft^3

Water in tank = what we start with + what comes in - what leaves

water in tank = 146000 + x*d - 500*d  where d is the number of days

After 365 days , the tank has 0 ft^3 of water

0  = 146000 + x*365 - 500*365

Multiply

0 = 146000 + 365x - 182500

Combine like terms

0 = -36500+365x

Add 36500 to each side

36500 = 36500-36500+365x

36500 = 365x

Divide by 365

36500/365 = 365x/365

100=x

The value of x = 100


kramer3 years ago
4 0

First, find the amount of water in cubic feet that the well removes in one year:

500 ft3 per day × 365 days per year = 182,500 ft3 per year.

More water exits the aquifer in a year than it can hold at any given time. So, we know that some water enters the aquifer to make up the difference.

182,500 ft3 lost to well – 146,000 ft3 stored in aquifer = 36,500 ft3 added per year.

One year is the same as 365 days, so

Therefore, x = 100 cubic feet of water per day.

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Answer:

The total population = 9514.2857143 people.

Step-by-step explanation:

Let the total population be represented by X

In the question, we are told that,1332 people are under the age of 20 and this value = 14% of the total population.

Therefore, the total population is calculated as

14% of X = 1332

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14X/100 = 1332

Cross Multiply

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8 0
3 years ago
A rectangular piece of metal is 20 in longer than it is wide. Squares with sides 4 in long are cut from the four corners and the
Misha Larkins [42]

Answer:

Step-by-step explanation:

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ruslelena [56]

Answer:

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 ∠6 = 30°

 ∠7 = 120°

Step-by-step explanation:

Since the polygon is regular, you know that the central angle (7) is 1/3 of the circle, or 120°. The angle 5 is half that measure, so is 60°, and the angle 6 is the complement of angle 5, so is 30°. (Angle 6 is also half the inscribed angle at each vertex, said inscribed angle being 120°/2 = 60°.)

 ∠5 = 60°

 ∠6 = 30°

 ∠7 = 120°

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