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andrew11 [14]
3 years ago
12

Factor the expression. 7 + 28w

Mathematics
2 answers:
Shkiper50 [21]3 years ago
6 0
I'm not sure how your school teaches it, but here is how I learned factoring.


1.Make a box with a line through the middle.
2. Put 7 in one side and +28w in the other.
3. Prime factor the terms and put them under the numbers. Prime factor of 7 is 7 and 1 (you don't have to put the 1 under the 7). Prime factors of 28 is 7*2*2.
4.Find common factors. In this case:7. Circle the 7 in each side of the box and write a 7 to the left of the box. Now put what is remaining on top. Since there is nothing in the 7 box anymore put a 1 on top. 2*2 and the plus sign is still in the other side so put +4 on the top.


Now you have your answer. The number to the left is the number outside the parentheses. The numbers on top are in the parentheses. 7(1+4)
Nookie1986 [14]3 years ago
5 0
4w is the answer that i believe is correct

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7nadin3 [17]

Second answer

Step-by-step explanation:

4 0
3 years ago
bank a charges a monthly service fee of $2.00 and a per check fee of 0.05, while bank B charges a monthly service fee of $1.50 a
saw5 [17]
  2 + .05x = 1.5 +.1x .5 = .05x x =10 is numbere when costs are equal So the 11th check makes Bank A cheaper
3 0
3 years ago
Read 2 more answers
Find two consecutive positive integers wjose product is 42. (First integer= x, second integer=x+1​
earnstyle [38]
It would be 6 and 7



Hope that helped!
5 0
3 years ago
Please help me ASAP!!! could someone help me do my geometry?
elena-14-01-66 [18.8K]

Answer:

9. m(YZ) = 102°

10. m(JKL) = 192°

11. m<GHF = 75°

Step-by-step explanation:

9. First, find the value of x

4x + 3 = 3x + 15 (inscribed angle that are subtended by the same arc are equal based on the inscribed angle theorem)

Collect like terms

4x - 3x = -3 + 15

x = 12

4x + 3 = ½(m(YZ)) (inscribed angle of a circle = ½ the measure of the intercepted arc)

Plug in the value of x

4(12) + 3 = ½(m(YZ))

48 + 3 = ½(m(YZ))

51 = ½(m(YZ))

Multiply both sides by 2

51*2 = m(YZ)

102 = m(YZ)

m(YZ) = 102°

10. First, find the value of x.

7x + 5 + 6x + 6 = 180° (opposite angles in an inscribed quadrilateral are supplementary)

Add like terms

13x + 11 = 180

13x = 180 - 11

13x = 169

x = 169/13

x = 13

7x + 5 = ½(m(JKL)) (inscribed angle of a circle = ½ the measure of the intercepted arc)

Plug in the value of x

7(13) + 5 = ½(m(JKL))

96 = ½(m(JKL))

Multiply both sides by 2

2*96 = m(JKL)

m(JKL) = 192°

11. First, find x.

5x + 15 = ½(11x + 18) (inscribed angle of a circle = ½ the measure of the intercepted arc)

Multiply both sides by 2

2(5x + 15) = 11x + 18

10x + 30 = 11x + 18

Collect like terms

10x - 11x = -30 + 18

-x = -12

Divide both sides by -1

x = 12

m<GHF = 5x + 15

Plug in the value of x

m<GHF = 5(12) + 15

m<GHF = 60 + 15

m<GHF = 75°

4 0
3 years ago
The hourly wages earned by 20 employees are shown in the first box and whisker plot below. The person earning $15 per hour quits
serg [7]

I added the plots in the attachments.

<u><em>Answer:</em></u>

The mean will decrease

The median will remain the same

<u><em>Explanation:</em></u>

<u>1- checking the mean:</u>

<u>Mean of the salaries is calculated as follows:</u>

Mean = \frac{sum-of-salaries}{number-of-employees}

<u>Now, we can note that two parameters affect the mean, let's consider each:</u>

<u>a. Number of employees:</u>

We are given that one employee is replaced with another. This means that the number of employees did not change

<u>b. Sum of salaries:</u>

We are given that a person earning $15 left and the new person earns $7. This means that:

New sum of salaries = old sum of salaries - 15 + 7 = old sum of salaries - 8

This means that the sum of salaries decreased by 8

<u>Now, for the mean:</u>

We can conclude that since the numerator decreased while the denominator stayed the same, the mean will decrease

<u>2- checking the median:</u>

In the whisker plots, the median is represented by the vertical line inside the plot.

<u>In the first plot,</u> we can note that the vertical line is nearly half the distance between 9 and 10. This means that, for the first plot, the median is approximately 9.5

<u>In the second plot,</u> the place of the median is unchanged. It is still approximately midway between 9 and 10 which means that the median in the second plot is approximately 9.5

Therefore, the median of the data remains unchanged.

Hope this helps :)

5 0
3 years ago
Read 2 more answers
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