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3 years ago

Which is a simplified form of the expression -4(3r – 2) – 2(r + 1)?

Mathematics

1 answer:

Delicious77 [7]3 years ago

6 0

Answer:

2 (3 - 7 r)

Step-by-step explanation:

Simplify the following:

-4 (3 r - 2) - 2 (r + 1)

-4 (3 r - 2) = 8 - 12 r:

8 - 12 r - 2 (r + 1)

-2 (r + 1) = -2 r - 2:

-12 r + -2 r - 2 + 8

Grouping like terms, -2 r - 12 r - 2 + 8 = (8 - 2) + (-12 r - 2 r):

(8 - 2) + (-12 r - 2 r)

-12 r - 2 r = -14 r:

-14 r + (8 - 2)

8 - 2 = 6:

6 - 14 r

Factor 2 out of 6 - 14 r:

Answer: 2 (3 - 7 r)

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3 years ago

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2 years ago

Juans class has 10 girls and 15 boys.The ratio of girls to boys in Steven’s class is the same as the ratio of girls to juans cla

DaniilM [7]

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3 years ago

What is the product of 5/6 * 18/30? Be sure to simplify your answer.

Finger [1]

Answer:

1/2

Step-by-step explanation:

To multiply fractions, you multiply numerator with numerator and denominator with denominator:

a/b*c/d=(a*c)/(b*d)

5/6*18/30=(5*18)/(6*30)=90/180=9/18=1/2

Therefore, the answer is 1/2. Looks like your answer of 113/30 either is wrong or the problem was not formatted correctly.

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2 years ago

Fill in the blank with a number to make the expression a perfect square. U^2 + 2u + ?

babymother [125]

Answer:

u² + 2u + 1

Step-by-step explanation:

In the question it's asking to find the the number in the blank to make the expression a perfect square.

Let the number in the blank be 'x'.

To guess 'x' , use the algebraic identity :- $(a + b)^2 = a^2 + (2 \times a \times b) + b^2$

While matching the expression with identity , the expression will look like this :- u² + 2ux + x²

In the expression given in the question , it's "2u" but after matching the expression with identity , it is found to be "2ux".

⇒ x = 1 (∵ If x will be 1 , then 2ux = 2×u×1 = 2u)

⇒ x² = 1

∴ The number in the blank is 1.

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3 years ago