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kykrilka [37]
3 years ago
5

Use the distributive property to expand -4(-2/3+3x). Which is an equivalent expression?

Mathematics
2 answers:
Bad White [126]3 years ago
7 0

- 4 \times ( \frac{2}{3}  + 3x)
Multiply each term in the parentheses, namely 2/3 and 3x, by the only term outside of the parentheses, -4.

Each of the resulting products becomes a new term in the addition.

( - 4 \times  \frac{2}{3} ) + ( - 4 \times 3x)
( -  \frac{8}{3} ) + ( - 12x)
-  \frac{8}{3}  - 12x
You may choose to keep the answer this way, or continue to change the improper fraction into a proper fraction. A lot of teachers also prefer to have the highest degree terms (terms that have variables with the highest powers) on the left.

- 12x - 2 \frac{2}{3}
Nadusha1986 [10]3 years ago
3 0

Answer:

D. 8/5- 12x

Step-by-step explanation: HOPES THIS HELPS!

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Step-by-step explanation:

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Write .008% as a decimal
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An investment firm invested in two companies last year. They invested $40,000 in company A and made a profit of 15%. They invest
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Answer:

A) $8200.

B) 16.4%

Step-by-step explanation:

Here is the complete question: An investment firm invested in two companies last year. They invested $40,000 in company A and made a profit of 15%. They invested $10,000 in company B and made a profit of 22%.

A) What is the investment firms total profit?

B) What is the percent profit of the total investment?

Given: Company A invested $40000 and made profit of 15%

           Company B invested $10000 and made profit of 22%

A) First lets find the profit of company A and B.

Company A= \frac{15}{100} \times \$ 40000= \$ 6000.

∴ Profit of company A is $6000.

Company B= \frac{22}{100} \times \$ 10000= \$ 2200

∴ Profit of company B is $2200.

Total profit= profit of company A+ profit of company B

⇒Total\ profit= \$ 6000+\$ 2200

∴ Total Profit= \$ 8200

Hence, the total profit of investment firm is $8200.

B) Now finding the percentage of total profit made by firm.

Total investment by the firm= \$ 40000+\$ 10000= \$ 50000

∴ Total investment done by the firm is $50000.

Percent of profit= \frac{Total\ profit}{Total\ investment} \times 100

⇒ Percent of profit= \frac{8200}{50000} \times 100

⇒ Percent of profit= \frac{82}{5} = 16.4\%

Hence, 16.4% is the percent profit of the total investment.

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