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3 years ago

Which expression represents this word phrase? eight less than the quotient of x and 3 x−83 8−x3 x3−8 3x−8

Mathematics

2 answers:

nexus9112 [7]3 years ago

6 0

Did the test the answer is 8-x3

lozanna [386]3 years ago

3 0

Quotient is basically the answer produced when dividing two numbers.

For example, the quotient of 6 and 3 is 2 because when I divide 6 by 3, I get 2.

Eight less than the quotient of x and 3 = $\frac{x}{3} - 8$

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Three students are running for class president at Madison High School. Helen has h votes, Jami has h - 26 votes, and Rick has h

Sholpan [36]

A because rick has 37 more votes than jami

6 0

3 years ago

Read 2 more answers

Last year, 120 students were sick at school. This year, 20% fewer students are sick. How many students are sick this year?

VMariaS [17]

First find how many students are sick the second year:
0.20 × 120 = 24
Then all you need to do is subtract:
120 - 24 = 96
So the number of students that got sick this year is:
96 students

3 0

3 years ago

Use the triangle shown to find m∠Q and m∠S.

Elodia [21]

<h2><u>Hope this helps :)</u></h2>

Step-by-step Example 1:

Two angles are supplementary. If the measure of the angle is twice the measure of the other, find the measure of each angle.

Let the measure of one of the supplementary angles be a .

Measure of the other angle is 2 times a .

So, measure of the other angle is 2a .

If the sum of the measures of two angles is 180° , then the angles are supplementary.

So, a+2a=180°

Simplify.

3a=180°

To isolate a , divide both sides of the equation by 3 .

3a3=180°3 a=60°

The measure of the second angle is,

2a=2×60° =120°

So, the measures of the two supplementary angles are 60° and 120° .

Step-by-step Example 2:

Find m∠P and m∠Q if ∠P and ∠Q are supplementary, m∠P=2x+15 , and m∠Q=5x−38 .

The sum of the measures of two supplementary angles is 180° .

So, m∠P+m∠Q=180°

Substitute 2x+15 for m∠P and 5x−38 for m∠Q .

2x+15+5x−38=180°

Combine the like terms. We get:

7x−23=180°

Add 23 to both the sides. We get:

7x=203°

Divide both the sides by 7 .

7x7=203°7

Simplify.

x=29°

To find m∠P , substitute 29 for x in 2x+15 .

2(29)+15=58+15

Simplify.

58+15=73

So, m∠P=73° .

To find m∠Q , substitute 29 for x in 5x−38 .

5(29)−38=145−38

Simplify.

145−38=107

So, m∠Q=107° .

6 0

2 years ago

John is interested in purchasing a multi-office building containing five offices. The current owner provides the following proba

Elenna [48]

Answer:

Option B.

Step-by-step explanation:

The given table is:

Number of Lease Offices : 0 1 2 3 4 5

Probability : 5/18 1/4 1/9 1/18 2/9 1/12

The expected probability is

Expected probability = $\sum_{i=0}^5 x_{i}p(x_i)$

Expected probability = $0p(0)+1P(1)+2P(2)+3P(3)+4P(4)+5P(5)$

Expected probability = $0\cdot (\frac{5}{18})+1\cdot (\frac{1}{4})+2\cdot (\frac{1}{9})+3\cdot (\frac{1}{18})+4\cdot (\frac{2}{9})+5\cdot (\frac{1}{12})=\frac{35}{18}$

It is given that the yearly lease = $12,000.

The yearly leases for the whole building in a given year is

Yearly leases = $\frac{35}{18}\times 12000=23333.3333333\approx 23333.33$

Therefore, the correct option is B.

3 0

4 years ago

Cora takes a sheet of paper and cuts from one corner to the opposite corner, making two triangles. If the piece of paper is 15 i

Bogdan [553]

Answer: 17 inches

Explanation: so we have a triangle with the two side lengths 8 and 15 and we’re trying to find the hypotenuse. so using the pythagorean theorem, we have 8^2 + 15^2 = c^2. when we solve we get 64 + 225 = c^2, which is 289 = c^2. next, we find the square root of both sides and c = 17 inches.

hope this helped!

7 0

3 years ago