The product of 8 and the sum of a number m and 6 is 12.

Answers

Answer 1

Answer: 8 (m+6) =12 is the way to write it

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Miriam is picking out some movies to rent, and she is primarily interested in comedies and foreign films. She has narrowed down her selections to 10 comedies and 15 foreign films. How many different combinations of 3 movies can she rent if she wants at least two comedies?

Answers

Answer:

There are 795 combinations.

Step-by-step explanation:

The number of ways or combinations in which we can select k element from a group of n elements is given by:

$nCk=(n!)/(k!(n-k)!)$

So, if Miriam want to choose 3 movies with at least two comedies, she have two options: Choose 2 comedies and 1 foreign film or choose 3 comedies.

Then, the number of combinations for every case are:

1. Choose 2 Comedies from the 10 and choose 1 foreign film from 15. This is calculated as:

$10C2*15C1=(10!)/(2!(10-8)!)*(15)/(1!(15-14)!)$

$10C2*15C1=675$

2. Choose 3 Comedies from the 10. This is calculated as:

$10C3=(10!)/(3!(10-3)!)=120$

Therefore, there are 795 combinations and it is calculated as:

675 + 120 = 795

consider a job that pays $100,000 per year federal income taxes 19% and state income tax is 7% what is the annual total of the required deductions of federal and state income tax

Answers

Answer:

$26,000.

Step-by-step explanation:

We have been given that a job that pays $100,000 per year federal income taxes 19% and state income tax is 7%.

The annual total of the required deductions of federal and state income tax would be $19\%+7\%=26\%$ .

To find the total amount, we will find 26% of $100,000.

$(26)/(100)* \$100,000$

$26* \$1000$

$\$26,000$

Therefore, the annual total of the required deductions of federal and state income tax is $26,000.

first multiply 100,000 and 19% equaling 19,000

Then multiply 100,00 and 7% equaling 7,000

Lastly add 7,000 and 19,00 together to get your answer

Answer: 26,000

Given linear function g(x) = 5 - 2/3 xa) find g(9)
AND
b) solve g(x)=7 for x

Answers

For part a, we need to substitute 9 for x.

g(x) = 5 - 2/3(9). Simplify the right side of the equation.

g(x) = 5 - 6.

g(x) = -1

For part b, we need to solve for x by substituting 7 for g(x).

7 = 5 - 2/3x. Subtract 5 from both sides.

2 = -2/3x. Divide each side by -2/3.

-3 = x

What is the equation of the line that passes through the point (-4, 7) and has anundefined slope?

Answers

Answer:

x = -4

Step-by-step explanation:

Since the slope is undefined, the line is a vertical line. All vertical lines have an equation x = k. In your problem k = -4, so the equation of the line is x = -4

Need help with the question

Answers

Answer:

a = -21

Step-by-step explanation:

Multiply the equation by the reciprocal of the coefficient of 'a'.

(-7/6)(-6/7)a = (-7/6)(18)

a = (-7)(18/6) = (-7)(3)

a = -21

Answer:

I think the answer is a=-1/21

The number of hours a group of contestants spent preparing for a quiz show are listed below. What is a frequency table that represents the data? 60 25 86 56 45 48 90 75 30 67 90 36 80 15 32 65 61C

Answers

Answer:

Step-by-step explanation:

Given in the number of hours a group of contestants spent preparing for a quiz

The list shows as follows:

60 25 86 56 45 48 90 75 30 67 90 36 80 15 32 65 61

In ascending order this becomes

x 15 25 30 32 36 45 48 56 60 61 65 67 75 80 86 90

F 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2

Thus we have mode =90

All other entries have frequency 1 except 90

60 25 86 56 45 48 90 75 30 67 90 36 80 15 32 65 61

Hours Frequency
0 - 9 0
10-19 15 1
20-29 25 1
30-39 30, 36, 32 3
40-49 45, 48 2
50-59 56 1
60-69 60, 67, 65, 61 4
70-79 75 1
80-89 86, 80 2
90-99 90, 90 2

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