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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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Answer:

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4) Adult tickets for the evening show at XD Theater are $11 and children's tickets are $Belf the theater seats 250 people, how m
kozerog [31]

Omitted value: The price of children ticket was omitted in the question, so i used $8 to solve. You can input the correct value and solve the same way following the steps.

Answer: 100 adult tickets  must be sold.

Step-by-step explanation:

step 1

let  x represent Adults

AND y represent children

Since the theater seats 250 people we have that

x+y = 250..... equation 1

Also price for Adult ticket = $11

and  price children ticket =$8

With total sales at $2,300, we have that

11x + 8y= 2300----- equation 2

Step 2

Making y subject in equation 1

' x+y = 250

y= 250-x

Putting y= 250- x in equation 2

11x + 8(250-x)= 2300

11x +2000-8x= 2300

11x -8x = 2300-2000

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x 300/3

x= 100.

To find y

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100+y=250

y=250-100

y=150

Therefore 100 adult tickets and 150 children tickets must be sold to get a total sales of $2,300

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