MATHEMATICS HIGH SCHOOL

Expand the following by using binomial theorem.
I) (7x-4y)⁵​

Answers

Answer 1
Answer:

(7x-4y)+( 7x-4y)+(7x-4y)+

(7x-4y)+(7x-4y)

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Rosie works 40 hours a week as an office manager. If she made $23,920 last year, how much was she paid per hour?

Answers

Hey there.. 
Lets solve this questions in steps..

Step 1 - we need to know that how many weeks are there in 1 year
so, there are 52.17 weeks but the round figure is 52 weeks.

Step 2 - we know that shawn worked 40 hours a week
So, in order to get total hour worked by him in one year, we need to multiply 52 * 40
i.e. 52 *40 = 2080

Step 3 - Now, we have total hours we can simply divide the total hour worked with how much he earned last year
i.e. 23,920 / 2080
 = $11.5 per hour.

Hope this helped you..  :)

Answer:

11.50

Step-by-step explanation:

Of all the people that attend movies 67% are in the 12-29 age group. At one theater, 300 people attended a showing of a certain movie. How many were in the 12-29 age group?

Answers

67 multiplied by 3 is 201, so there is 201 people in the age group 12-29. Also, 67% is approximately two thirds, and we can see that reflected in our answer.

On a United States map, the scale is 1 inch to 500 miles. If it is about 2,500 miles from San Francisco to New York, what is that distance on the map? 5 in.
10 in.
125 in.
4.5 in.

Answers

If you would like to know what is the distance on the map, you can calculate this using the following steps:

1 inch ... 500 miles
x inches = ? ... 2,500 miles

1 * 2,500 = 500 * x
2,500 = 500 * x
x = 2,500 / 500
x = 5 inches

The correct result would be 5 in.

Answer:

the answer would be 5 inches

Step-by-step explanation:

if you know that the scale is 1 inch to 500 miles, and to want to know how many inches 2,500 miles is just divide. 2,500 divided by 500 is equal to 5. also I took the quiz

Help me solve this question?tan(theta) = -3.4141

Find theta to the nearest degree in the interval 0° less than or equal to theta less than or equal to 360°

Answers

For this you're going to want to whip out your calculator.
make sure it is in degrees instead of radians
plug in tan^-1(-3.4141) 
it should equal about -73.674
to change that to be between 0 and 360
360 - 73.674 ≈ 286.325

Write x^3-x^2-6x in factored form

Answers

x^3 - x^2 - 6x

x(x^2 - x - 6) =
x(x + 2)(x - 3) <===

Rachel works for a clothing store. She is paid $150 every week plus a 10% commission on any clothes that she sells.

Answers

Answer:

$165

Step-by-step explanation:

Rachel works for a clothing store. She is paid $150 every week plus a 10% commission on any clothes that she sells.

Let's find the total amount she is being paid per week

Amount paid originally = $150

Percentage Commission = 10%

Commission = 10% of 150

Commission = 0.1×150

Commission = $15

Total amount paid = originally amount + Commission

Total amount paid = $150+$15

Total amount paid =$165

Hence the amount paid to Rachel okus Commission is $165
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