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Mama L [17]
2 years ago
11

Solve 4(a-3) = 22 solve 5(x -6) = 65 with explanation, please giving 20 points

Mathematics
2 answers:
DaniilM [7]2 years ago
5 0

Step-by-step explanation:

4(a-3)=22

a-3=4-22

a-3=18

a=18+3

a=21

5(x-6)=65

x-6=65-5

x-6=60

×=60+6

x=66

hope it will help u...............

Pie2 years ago
4 0

Answer:

a = \frac{34}{4}

x = 19

Step-by-step explanation:

<u>First equation</u>

Expand the brackets

4(a-3) = 22

4a - 12 = 22

Add 12 to both sides

4a - 12 + 12 = 22 + 12

4a = 34

Divide both sides by 4

4a ÷ 4 = \frac{34}{4}

a = \frac{34}{4}

<u>Second equation</u>

Expand the brackets

5(x - 6) = 65

5x - 30 = 65

Add 30 to both sides

5x - 30 + 30 = 65 + 30

5x = 95

Divide both sides by 5:

5x ÷ 5 = 95 ÷ 5

x = 19

Hope this helps!

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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
alexira [117]

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

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

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Remember that 1 = 4/4, so in total it is 7/4 of her original pay (4/4+3/4). Let's find out what 1/4 is equal to.

If $2100=7/4 then 1/4=$300. Therefore 4/4 (or 1, her original pay) is 4 times $300, which is $1200.
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2 years ago
Why does the equation y=3x+5 Not represent a proportional relationship?
Afina-wow [57]

Answer:

see the explanation

Step-by-step explanation:

we now that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u><em>and the line passes through the origin</em></u>

In this problem we have

y=3x+5

This is the equation of the line in slope intercept form

where

m=3\\b=5

The given equation not represent a proportional relationship, because the line not pass through the origin

In a proportional relationship the value of b (y-intercept) is equal to zero

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