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2 years ago

HELP Combining like terms solve all please :) c

Mathematics

2 answers:

In-s [12.5K]2 years ago

6 0

Answer:

11. x = -16

12. k = 6

13. x = -19

14. x = -6

15. x = -20

16. Combining like terms isn't to be used on this type of problem. I'm sorry, can you guess on this one?

17. x = 19

18. n = -10

19. b = 11

20. n = 4

21. r = -6

22. n = -4

Again super sorry about question 16 :(

stealth61 [152]2 years ago

5 0

Answer:

Step-by-step explanation:

11) -1= x/16

x= -16(because when dividing a negative and positive number the answer is always a negative.

12) 7=1+k

k=7-1

k=6

13) x-6=-25

x=-25+6

x=-19

14) -8x=48

x=48/-8

x= -8

15) x/10=-2

x=10*-2

x=-20

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2 years ago

Question 2 -of 15 Step 1 of 1No Time LimitA company manufactures two products. One requires 5 hours of labor, 3 poundsof raw mat

elena-14-01-66 [18.8K]

the cost of labour per hour is $7.20

the cost of raw materials per pound is $11.60

Explanation:

For product one:

time = 5 hours of labour

let the cost labour per hour = x

Amount = 3 pounds of raw amterials

let the cost of one pound raw material = y

Cost to produce each product = $70.8

The equation:

time (cost per hour) + amount (cost of one pound of raw material) = Cost to produce each product

5(x) + 3(y) = 70.80

$5x+3y=70.8....\mleft(1\mright)$

For product 2:

time = 3.5 hours of labour

let the cost of labour per hour = x

Amount = 13 pounds of raw amterials

let the cost of one pound raw material = y

Cost to produce each product = $176.00

The equation:

time (cost per hour) + amount (cost of one pound of raw material) = Cost to produce each product

3.5(x) + 13(y) = 176

$3.5x+13y=176\text{ .... (2)}$

combining both equations:

5x + 3y = 70.8 ...(1)

3.5x + 13y = 176 ....(2)

Using elimination method:

To eliminate y, we will multiply equation (1) by 13 and equation (2) by 3 so that both coefficient of y become the same

65x + 39y = 920.4 ...(*1)

10.5x + 39y = 528 ...(2*)

subtract equation (2*) from (1*):

65x - 10.5x + 39y - 39y = 920.4 - 528

54.5x + 0 = 392.4

54.5x = 392.4

divide both sides by 54.5:

x = 392.4/54.5

x = 7.2

substitute for x in any of the equations

Using equation 1: 5x + 3y = 70.8

$\begin{gathered} 5\mleft(7.2\mright)+3y=\text{ 70.8} \\ 36\text{ + 3y = 70.8} \\ 3y\text{ = 70.8 - 36} \\ 3y\text{ = 34.8} \\ \\ \text{divide both sides by 3:} \\ \frac{3y}{3}=\frac{34.8}{3} \\ y\text{ = }11.6 \end{gathered}$

Hence, the cost of labour per hour is $7.20 and the cost of raw materials per pound is $11.60

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