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AnnyKZ [126]
3 years ago
10

Use the substation to solve the system of equations. Y=x+1.75 4x-2y=4

Mathematics
1 answer:
beks73 [17]3 years ago
3 0
So we need to plug in y into our equation so our new equation is:

4x - 2(x+1.75) = 4

first lets distribute the 2 by multiplying the values inside the parentheses by 2

4x - 2x + 3.5 = 4

4x - 2x = 2x

so now our equation is 2x + 3.5 = 4

we need to get x by itself on one side of the parentheses so lets move the 3.5 by subtracting by 3.5 on both sides

2x + 3.5 = 2x
4 - 3.5 = .5

new equation: 2x = .5

now to get rid of this 2 (being multiplied by x) we simply have to do the opposite - divide by 2 on each side

2x/2 = x
.5/2 = .25

so our x value is equal to .25!

if you have any questions about how i answered this question please let me know:)
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Read 2 more answers
Imagine you have some workers and some handheld computers that you can use to take inventory at a warehouse. There are diminishi
Svet_ta [14]

Answer:

a. $1.03

b. $0.93

c. 0.98

d. 2 workers

Step-by-step explanation:

a. Given that:

  • 1 computer : 1 worker : inventory 150 items per hour
  • 1 computer : 2 workers : inventory 200 items per hour
  • 1 computer : 3 workers : inventory 220 items per hour
  • 1 computer : 4+ workers : fewer than 235 items per hour
  • Cost: $100 per computer ; $25 per worker

The fixed production factor in the warehouse is the computer used:

-One computer used, but the number of users is varied to inventory a specified number of items.

-The variable production factor is the number of workers assigned per one computer.

#The cost of inventorying a single item by one worker is:

Cost=\frac{C_{pc}+Wage}{Items} \ , C_{pc}=\$125\\\\Cost_1=\frac{125+30}{150}\\\\\\=1.03

Hence, the cost of inventorying a single item is $1.03

b. Using the information provided above, the cost of inventorying a single item when two workers are assigned is :

Cost=\frac{C_{pc}+Wage}{Items} \ , C_{pc}=\$125\\\\Cost_2=\frac{125+2\times30}{200}\\\\\\=0.925

Hence, the cost of inventorying a single item is $0.93

c.Using the information provided above, the cost of inventorying a single item when three workers are assigned is :

Cost=\frac{C_{pc}+Wage}{Items} \ , C_{pc}=\$125\\\\Cost_3=\frac{125+3\times30}{220}\\\\\\=0.98

Hence, the cost of inventorying a single item is $0.98

d. To determine the most cost-effective job assignment, we calculate the cost of 4+ workers.

Take any number less than 235(say 234) as the inventory units:

Cost=\frac{C_{pc}+Wage}{Items} \ , C_{pc}=\$125\\\\Cost_4=\frac{125+4\times30}{234}\\\\\\=1.05

From our calculations, it's clear that two workers per computer costs the least amount($0.93) per unit item. Hence, it is best to assign two workers per computer.

4 0
3 years ago
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