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sveticcg [70]
3 years ago
12

Three of four numbers have a sum of 22. If the average of the four numbers is 8, what is the fourth number?

Mathematics
1 answer:
Delvig [45]3 years ago
6 0
Let x_1,\ldots,x_4 be the four numbers. Their average is 8, so

\dfrac{x_1+x_2+x_3+x_4}4=8

You know that three of the numbers have a sum of 22, so

\dfrac{22+x_4}4=8

Solve for x_4:

\dfrac{22+x_4}4=8\implies22+x_4=32\implies x_4=10
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1/3=33.33%?

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2 years ago
Consider a diving board that is 10 feet above a pool. If the ladder is 5 feet away from the base of the diving board, approximat
OleMash [197]

Answer: 15 feet

Step-by-step explanation:

From the question, we are informed that a diving board is 10 feet above a pool. Since the ladder is 5 feet away from the base of the diving board, to calculate how tall is the ladder is, we subtract -5 from 10. This will be:

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The answer is option C.

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2 years ago
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barxatty [35]

Answer:

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3 years ago
Which expression is equivalent to (x Superscript 27 Baseline y) Superscript one-third?.
marin [14]

To solve the problem we must know the basic exponential properties.

<h3>What are the basic exponent properties?</h3>

{a^m} \cdot {a^n} = a^{(m+n)}

\dfrac{a^m}{a^n} = a^{(m-n)}

\sqrt[m]{a^n} = a^{\frac{n}{m}}

(a^m)^n = a^{m\times n}

(m\times n)^a = m^a\times n^a

The expression can be written as x^9\sqrt[3]{y}.

Given to us

  • (x^{27}y)^\frac{1}{3}

(x^{27}y)^\frac{1}{3}

Using the exponential property(m\times n)^a = m^a\times n^a,

=(x^{27}y)^\frac{1}{3}\\\\=x^{\frac{27}{3}}\times y^\frac{1}{3}\\\\=x^9\times y^\frac{1}{3}

Using the exponential property \sqrt[m]{a^n} = a^{\frac{n}{m}},

=x^9\times y^\frac{1}{3}\\\\=x^9\times \sqrt[3]{y}\\\\=x^9 \sqrt[3]{y}

Hence, the expression can be written as x^9\sqrt[3]{y}.

Learn more about Exponent properties:

brainly.com/question/1807508

5 0
1 year ago
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umka2103 [35]

Answer:

m = -3m+3n/-2b

Step-by-step explanation:

Slope is expressed as;

m = y2-y1/x2-x1

Given the coordinates (a+b,4m-n) and (a-b,m+2n)​

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m = m-4m+2n+n/a-a-b-b

m = -3m+3n/-2b

Hence the required slope is m = -3m+3n/-2b

6 0
2 years ago
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