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faust18 [17]
3 years ago
9

5 more than three times a number is sixty-five. A. write an equation. B.what is the number?

Mathematics
1 answer:
Bas_tet [7]3 years ago
3 0
A.3x+5=65
-5 -5
subtract 5 from 5, subtract 5 from 65 to get 3x=60
B. 3x=60
divide 3x by 3,divide 60 by 3 to get x by itself
x=20
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Answer:

There are <u>20,000 milligrams</u> chlorine in the pool.

Step-by-step explanation:

Given:

The chlorine per liter of water in the pool is 2.5 milligrams.

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Now, to find the quantity of chlorine in the pool.

Let the quantity of chlorine be x.

The gallons of water in the swimming pool = 8000.

The milligrams of chlorine per liter of water in the pool = 2.5.

According to question, the amount of chlorine in the swimming pool is proportional to the volume of water.

So, 2.5 mg of chlorine is equivalent to 1 liter.

Thus, x is equivalent to 8000.

Now, to get the quantity of chlorine by using cross multiplication method:

\frac{2.5}{1} =\frac{x}{8000}

<em>By cross multiplying we get:</em>

20000=x\\\\x=20,000\ mg.

Therefore, there are 20,000 milligram chlorine in the pool.

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3 years ago
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Step-by-step explanation:

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Read 2 more answers
If f(x) = 6x – 4, then f^-1(x)=
guapka [62]

Answer:

f^{-1}(x)=\frac{x}{6}+\frac{2}{3}

Step-by-step explanation:

Given function.

f(x)=6x-4

To find the inverse function f^{-1}(x)

Step 1:

Replace f(x) withy in the function.

y=6x-4

Step 2:

Interchange y with x in the equation.

x=6y-4

Step 3:

Solve for y.

We have x=6y-4

Adding 4 to both sides,

x+4=6y-4+4

x+4=6y

Dividing each term by 6 to isolate y

\frac{x}{6}+\frac{4}{6}=\frac{6y}{6}

\frac{x}{6}+\frac{4}{6}=y

Simplifying fractions by dividing the numerator and denominator by  their GCF.

\frac{x}{6}+\frac{4\div 2}{6\div 2}=y

\frac{x}{6}+\frac{2}{3}=y

Thus the equation of y is:

y=\frac{x}{6}+\frac{2}{3}

Step 4:

Replace y with f^{-1}(x)

f^{-1}(x)=\frac{x}{6}+\frac{2}{3} (Answer)

Thus, we have the inverse function

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3 years ago
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