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iris [78.8K]
3 years ago
11

20) Use the distributive property to factor the expression. 10xz − 20yz

Mathematics
1 answer:
Paraphin [41]3 years ago
3 0

Answer:

C. 10z(x - 2y)

Step-by-step explanation:

10xz − 20y

Factor the terms

Factors of   10xz =          2 ×      5 × x ×        z

Factors of -20yz = (-1) × 2 × 2 × 5 ×       y × z

Identify their greatest common  factor

The common factors are 2, 5, and z. The greatest common  factor is 10z.

Rewrite them with the GCF as a factor

 10xz = 10z ×      x

-20yz = 10z × (-2y)

Replace the terms in the original expression with the factored terms

10xz − 20yz = 10z(x) + 10z(-2y)

Use the distributive property to isolate the greatest common factor

10z(x) + 10z(-2y) = 10z(x - 2y)

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A student recorded her scores on weekly math
alina1380 [7]

Answer:

mean: 7.62

median: 8

mode: 9

Step-by-step explanation:

first you have to put the data set in order:

6,6,6,6,7,7,8,8,9,9,9,9,9

the mode is the most often repeated number in a data set so the mode in this data set would be 9. The median is the middle number in the data set. The middle number in this data set is 8. Lastly, the mean in a data set is all of the numbers in the data set added together and then divided by how many numbers are in the set. The equation for this data set would be 99/13= 7.62

hope this helps!!

7 0
3 years ago
Ring the number that is 10 more than 36
erik [133]
36+10=46
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(20 characterssss)
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3 years ago
4 red balls 4 white balls what is the probability of drawing at least 1 red ball if two balls are drawn
vodomira [7]
The probability of drawing exactly one red ball is given by:
P(1\ red\ ball)=\frac{4C1\times4C1}{8C2}=\frac{16}{28}
the probability of drawing two red balls is given by:
P(2\ red\ balls)=\frac{4C2\times4C0}{8C2}=\frac{6}{28}
The probability of drawing at least one red ball is:
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7 0
3 years ago
A rectangle has length X +5 and width X +4 if the perimeter of the rectangle is 42 m what are the length and width of the rectan
Maru [420]
The perimeter is 2(length) + 2(width), so 2(x+5) + 2(x+4) = 42 m. In solving for x, you find 6. Plug 6 back into your length and width where x originally was, and you find your length to be 11m, and your width to be 10m. Hope this helps!
6 0
3 years ago
Read 2 more answers
Ms. wilson draws a model of the factorization of a polynomial with integer factors. her model is partially complete. a 2-column
lana [24]

The equation represented by Ms. Wilson's model is n² + 13n + 40 = (n + 8)(n + 5)

<h3>How to determine the equation of the model?</h3>

The partially completed model is given as:

    |  n

    |  n²

5   | 5n  |  40

By dividing the rows and columns, the complete model is:

    |  n    | 8

n   |  n²  |  8n

5   | 5n  |  40

Add the cells, and multiply the leading  row and columns

n² + 8n + 5n + 40 = (n + 8)(n + 5)

This gives

n² + 13n + 40 = (n + 8)(n + 5)

Hence, the equation represented by Ms. Wilson's model is n² + 13n + 40 = (n + 8)(n + 5)

Read more about polynomials at:

brainly.com/question/4142886

#SPJ4

7 0
2 years ago
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