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4 years ago

Simplify : 4(-7c+5d)+5-2(5+9d)

Mathematics

1 answer:

Travka [436]4 years ago

6 0

Step-by-step explanation:

use -2 to open d bracket

4(-7c+5d)+5-10-18d

use 4 to open d bracket

-28c+20d+5-10-18d

re arrange

-28c+20d-18d+5-10

-28c+2d-5

note: - doesnt start an equation so rearrange

=+2d-28c-5

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Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours. Explain how you know whether the relati

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Read 2 more answers

The function C(x)=−20x+1681 represents the cost to produce x items. What is the least number of items that can be produced so th

Reptile [31]

Answer:

<em>The least number of items to produce is 41</em>

Step-by-step explanation:

<u>Average Cost</u>

Given C(x) as the cost function to produce x items. The average cost is:

$\displaystyle \bar C(X)=\frac{C(x)}{x}$

The cost function is:

$C(x) = -20x+1681$

And the average cost function is:

$\displaystyle \bar C(X)=\frac{-20x+1681}{x}$

We are required to find the least number of items that can be produced so the average cost is less or equal to $21.

We set the inequality:

$\displaystyle \frac{-20x+1681}{x}\le 21$

Multiplying by x:

$-20x+1681 \le 21x$

Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.

Adding 20x:

$1681 \le 21x+20x$

$1681 \le 41x$

Swapping sides and changing the sign:

$41x \ge 1681$

Dividing by 41:

$x\ge 41$

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3 years ago

A company has six employees.The salary of five of the employees are P2200,P1300,P800,P940 and P560.When the sixth employee is in

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Answer:

First answer is 1200

Second answer is 900 for each new employee

Step-by-step explanation:

First answer:

2200+1300+800+940+560+x = 7000

5800+x = 7000 subtract 5800 from both sides and you get your answer

x = 1200

Second answer:

x = 900. Each of the two employees made 900 a month or 1800 a month for both of them.

To find the average we take the total salaries and divide by the number of people to find the average salary. In this case, we know the average and we know all of the salaries, but two. We can figure this out.

(7000 + 2x)/8 = 1100 multiple both sides by 8 to clear the fraction/

7000 +2x = 8800 Subtract both sides by 7000

2x = 1800 Divide both sides by 2

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