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KIM [24]
3 years ago
12

Mark the text by underlining key words, and then write an expression using variables and/or numbers for each statement.

Mathematics
1 answer:
miskamm [114]3 years ago
5 0

Answer with Step-by-step explanation:

1. b decreased by<u> c squared</u>

c^2-b

2. 24 divided by the <u>product of 2 and a</u>

\dfrac{24}{2\times a}\\\\=\dfrac{24}{2a}

3. 150 decreased by the<u> quantity of 6 plus b</u>

(6+b)-150\\\\=6+b-150\\\\=b-144

4. The sum of<u> twice c</u> and 10

2c+10

5. Marlo had $35 but then <u>spent $m</u>.

35-m

6. Samantha saved her money and was able to<u> quadruple the original amount, m.</u>

4\times m=4m

7. Veronica<u> increased her grade, g, by 4 points and then doubled it.</u>

2(g+4)=2g+8

8. Adbell had <u>m pieces </u>of candy and <u>ate 5 </u>of them. Then, he <u>split the remaining candy equally among 4 friends.</u>

\dfrac{m-5}{4}

9. To find out how much paint is needed, Mr. Jones must <u>square the side length, s, of the gate and then subtract 15.</u>

s^2-15

10. Luis brought<u> x cans </u>of cola to the party, Faith brought <u>dd cans </u>of cola, and De’Shawn brought <u>h cans</u> of cola. How many cans of cola did they bring altogether?

x+dd+h

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Answer:

  • All four of the remaining faces will be 4 inches wide.

Step-by-step explanation:

A right rectangular prism with square base and top with sides of 4 in.

It has four sides of 4 in wide each and of equal height of unknown measure.

<u>Options:</u>

All four of the remaining faces will have a height of 4 inches.

  • Incorrect, the height is unknown.

There is not enough information to tell what the other faces will look like.

  • Incorrect, all the other faces are rectangular.

Two of the remaining faces will be 4 inches wide.

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3 years ago
The diagonals of a parallelogram are congruent. Which could be the parallelogram
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Look for the one with Parallel diagonals
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the following equation represents the total distance (d) that the Benson family has traveled from their home, after traveling 10
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Answer:

The distance the Bensons had traveled from their home 3\frac{1}{2} hours after picking up their grand parents  292.5 miles

Step-by-step explanation:

The given equation for the distance the Benson family traveled from their home can be presented as follows;

d = 55·t + 100

Where;

d = The total distance that the Benson family has traveled from their home after traveling 100 miles to pick up their grandparents

t = The time duration the Benson family have been traveled from their grandparents home on the way to their vacation

To find how far from their home the Bensons will be after 3 1/2 hours of driving with their grand parents, we substitute t with 3 1/2 hours or 3.5 hours as follows;

d = 55·t + 100

When t = 3\frac{1}{2} hours, we get;

d = 55 \times 3\frac{1}{2} + 100 = 292.5  \ miles

Therefore, the distance the Bensons had traveled from their home 3\frac{1}{2} hours after picking up their grand parents = 292.5 miles.

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3 years ago
If two different people are randomly selected from the 864 subjects, find the probability that they are both heavy smokers. Roun
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Answer:

P = 0.008908

Step-by-step explanation:

The complete question is:

The table below describes the smoking habits of a group of asthma sufferers

               Nonsmokers      Light Smoker     Heavy smoker      Total

Men                        303                     35                           37        375

Women                   413                     31                            45        489

Total                        716                     66                           82        864

If two different people are randomly selected from the 864 subjects, find the probability that they are both heavy smokers.

The number of ways in which we can select x subjects from a group of n subject is given by the combination and it is calculated as:

nCx=\frac{n!}{x!(n-x)!}

Now, there are 82C2 ways to select subjects that are both heavy smokers. Because we are going to select 2 subjects from a group of 82 heavy smokers. So, it is calculated as:

82C2=\frac{82!}{2!(82-2)!}=3321

At the same way, there are 864C2 ways to select 2 different people from the 864 subjects. It is equal to:

864C2=\frac{864!}{2!(864-2)!}=372816

Then, the probability P that two different people from the 864 subjects are both heavy smokers is:

P=\frac{82C2}{864C2}=\frac{3321}{372816}=0.008908

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Answer:

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4/3-7/9=12/9-7/9=5/9.

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