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Zanzabum
2 years ago
12

Four machines, each costing $5,700, were purchased for an office. Each machine requires

Mathematics
1 answer:
liubo4ka [24]2 years ago
8 0

The number of months it would take to recover the cost of the machines is 12 months.

<h3> What is the total cost of the machines and the salary of the operators? </h3>

Total cost of the four machines = $5700 x 4 = $22,800

The total salaries of the machine operators in t months = 4t x $1,00 = $4,400t

Total cost = $22,800 +  $4,400t

<h3>What is the amount saved by replacing the 8 clerks in t months? </h3>

($750 x 2t) + ($650 x 3t) + ($950 x 3t)

= $1500t + $1,950t +$2,850t

= $6300t

<h3>In how many months would it take to recover the cost of the machines? </h3>

$22,800 +  $4,400t  =  $6300t

Combine similar terms

$22,800 = $6300t - $4400t

$22,800 = $1900t

Divide both sides by 1900

t = 12 months

To learn more about division, please check: brainly.com/question/194007

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1 mile per every 15 minutes

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Solve the system. <br> y= -2x + 1<br><br> y= 2x - 3
Neporo4naja [7]

Equation 1: y = -2x + 1

Equation 2: y = 2x - 3

Since both equations already have y isolated, we are able to simply set the right side of both equations equal to each other. Since we know that the value of y must be the same, we can do this.

-2x + 1 = 2x - 3

1 = 4x - 3

4 = 4x

x = 1

Then, we need to plug our value of x back into either of the original two equations and solve for y. I will be plugging x back into equation 2 above.

y = 2x - 3

y = 2(1) - 3

y = 2 - 3

y = -1

Hope this helps!! :)

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3 years ago
Read 2 more answers
Find the value of y, given that m_ KLM = 137º.
Musya8 [376]

Answer:

y ≈ 5.63

Step-by-step explanation:

m∠KLN and m∠NLM have to add up to m∠KLM

m∠KLN = 47°

m∠NLM = 16y°

m∠KLM = 137°

47 + 16y = 137

16y = 90

y = 45/8

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Graph on a number line and solve. (-4) + 8 =
grigory [225]

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its 4

Step-by-step explanation:

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3 years ago
What is the solution of the simultaneous equations 3x 2y 14 and 4x 3y 13?.
lara31 [8.8K]

The solution of simultaneous equations is x=4 and y = -1.

<h3>What are Simultaneous equations?</h3>

Simultaneous equations are two or more algebraic equations with the same unknown variables and the same value of the variables satisfies all such equations.

We can solve simultaneous equations by various methods. here we will solve it by elimination method.

Here we have two simultaneous equations

      3x -2y = 14 --- (i)

and 4x + 3y = 13---(ii)

Now multiplying (i) by 3 and (ii) by 2 we get

 9x -6y = 42 and 8x + 6y = 26.

Now adding both we get

17x = 68 ⇒ x = 68/17 ⇒ x = 4.

Substituting the value of x in (i), we get

3*4 - 2y = 14 ⇒ -2y = 14-12 = 2 = -2/2 ⇒ y = -1.

Therefore, the values of x and y are 4 and -1 respectively .

To know more about simultaneous equations, visit

brainly.com/question/16863577

#SPJ4

<u>NOTE</u> : The question given here is not complete. The complete question is given below.

Question: What is the solution of the simultaneous equations 3x- 2y= 14 and 4x+ 3y= 13?.

6 0
10 months ago
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