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Paha777 [63]
3 years ago
15

72 is equal to 80% of a number n. Write and solve and equation to find n. Write the percent as a decimal.

Mathematics
2 answers:
aleksandr82 [10.1K]3 years ago
8 0

Answer:

n = 90

Step-by-step explanation:

To solve this, we need to write the questions mathematically and then solve

72 = 80% of n

72   = \frac{80}{100} ×  n

72  =  \frac{80 n}{100}

Multiply both-side of the equation by 100

72 × 100 =  \frac{80 n}{100}   ×100

At the right-hand side of the equation, 100 will cancel-out 100, leaving us with just 80 n

7200 = 80 n

Divide both-side of the equation by 80

\frac{7200}{80}  =  \frac{80n}{80}

(On the right-hand side of the equation, 80 will cancel out 80 leaving us with just n while on the left-hand side of the equation 7200 will be divide by 80)

\frac{7200}{80}   =   n

90  =  n

n = 90

valentina_108 [34]3 years ago
4 0
Well I'm not sure what the answer would be since I'm not that smart but I did get the answer of 90, I did this by dividing 72 by 80 which equals .9 and I multiplied that by 100 and got 90.
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Change 225° to radian measure in terms of pi​
a_sh-v [17]

Answer:

\frac{5\pi }{4}

Step-by-step explanation:

To convert from degree to radian measure

radian measure = degree measure × \frac{\pi }{180}

Hence

radian measure = 225 × \frac{\pi }{180} = \frac{225\pi }{180} = \frac{5\pi }{4}

5 0
3 years ago
The triangle below is equilateral. Find the length of side xx in simplest radical form with a rational denominator.
mylen [45]

The length of side x in simplest radical form with a rational denominator is 8√3

<h3>How to find the length of side x in simplest radical form with a rational denominator?</h3>

The given parameters are:

Triangle type = Equilateral triangle

Height (h) = 12

Missing side length = x

The missing side length, x is calculated using the following sine ratio

sin(60) = Height/Missing side length

This gives

sin(60) = 12/x

Make x the subject of the formula

So, we have

x = 12/sin(60)

Evaluate the quotient

So, we have

x = 12/(√3/2)

This gives

x = 24/√3

Rationalize

x = 24/√3 * √3/√3

Evaluate

x = 8√3

Hence, the length of side x in simplest radical form with a rational denominator is 8√3

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6 0
1 year ago
Can someone please help me with this square root problem?
vovikov84 [41]

Answer:

Rational, Rational, Rational, Irrational, Irrational

Step-by-step explanation:

The first question:

  • -√49
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This number is rational

Second:

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This number is rational. It wouldn't be rational if the digits won't repeat.

Third:

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This number is rational

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Fifth:

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<h3 />

-Chetan K

5 0
2 years ago
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mixer [17]
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6 0
2 years ago
Solving inequalities, what is x/18&gt;27
Lunna [17]

Answer:   x > 486

Explanation:

We have some number x and we divide that by 18. The result is larger than 27. To find possible values for x, we need to undo what is happening to x. The opposite of division is multiplication. We multiply both sides by 18 to cancel out the "18" on the left side, which will isolate x to get it to its own side.

This is what the steps look like

x/18 > 27

18*( x/18 ) > 18*27 .... multiplying both sides by 18

x > 486 ... note the 18's cancel on the left side

So this means x is some number greater than 486.

7 0
3 years ago
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