Kevin is an auto mechanic. He spends 2 hours when he replaces the shocks on a car and 2 hours when he replaces the brakes. He works no more than 42 hours a week. He routinely completes at least 4 shocks replacements and 6 break replacements a week. If he charges $450 for labor replacing shock and $200 in labor for replacing breaks, how many jobs of each type should he complete a week to maximize his income?Kevin should do _ shock replacements and _ brake replacements every week to maximize his weekly income.

Answers

Answer 1

Answer:

Kevin has been working as an auto-mechanic. For maximizing weekly income Kevin should do 6 breaks replacement and 4 shock replacements. The time required for performing both the tasks has been equal. Since the time required has been the same, to increase the income, the task resulting in more income has been prioritized

Given :

The charges for shock replacement = $450,
The charge for breaks replacement = $200.

Since there have been more income with shock replacement, the brake replacement task has been prioritized.

The time Kevin works in a week has been 42 hours. Since each job takes 2 hours, the number of jobs he can perform has been 21 jobs.

The routine jobsof brake replacement performed by Kevin have been 6. Thus to increase his income, the rest jobs have been of shock replacement.

The number of shock replacement tasks performed by the Kevin =

= 21 - 6

= 15

The number of shock replacement jobs = 15.

Thus for increasing the income Kevin has to perform 6 brake replacement tasks and 15 shock replacement tasks.

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Answer 2

Answer:

Answer:

Kevin should do 15 shock replacements and 6 brake replacements every week to maximize his weekly income.

Step-by-step explanation:

Both jobs take the same amount of time to complete (2 hours), therefore, in order to maximize his income, Kevin should prioritize the job that gives him the greatest income, which is replacing shocks.

If each job takes 2 hours and he works at most 42 hours per week, Kevin can complete 21 jobs per week. He should aim to do as little break replacements as possible and as many shock replacements as possible to maximize income.

If he completes at least 6 break replacements, the remaining jobs should all be shock replacements:

$S=21-6\nS=15$

Kevin should do 15 shock replacements and 6 brake replacements every week to maximize his weekly income.

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What's the reciprocal of 7/9? a.48/15 b.16/15 c.9/7 d.14/18 ?

Answers

The reciprocal of a/b is b/a

The reciprocal of 7/9 is 9/7

If you are given a mixed number like 1 2/3, then first convert it to an improper fraction using:
$a (b)/(c) = ((a* c) + b)/(c)$

And then you find the reciprocal of it.

Your answer is C. 9/7.

9/7 is the reciprocal of 7/9

Please help me solve this !!!!

Answers

Answer:

$\boxed{option \: c. \: is \: correct}$

Step-by-step explanation:

$well.....the \: sides \: of \: this \: type \: of \: triangle \to \n (equallatral )\: are \: all \: equall \to \n \boxed{ \: hence \: option \: c. \: is \: correct}$

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The triangle is Equilateral thus the sides are same and equal.

So ;

$5x = 3x + 10$

$5x = 6x - 5$

$3x + 10 = 6x - 5$

We just need to solve one the above equations and the value of x.

Then put in all three equations to find the sides .

Let's do it....

$5x = 3x + 10$

Subtract sides 3x

$- 3x + 5x = - 3x + 3x + 10$

Simplification

$2x = 10$

Divide sides by 2

$(2)/(2) x = (10)/(2) \n$

Simplification

$x = 5$

_________________________________

It's time to find the sides :

$RS = 6(5) - 5$

$RS = 30 - 5$

$RS = 25$

##############################

$SQ = 3(5) + 10$

$SQ = 15 + 10$

$SQ = 25$

##############################

$RQ = 5(5)$

$RQ = 25$

##############################

Actually we knew that the sides of any Equilateral triangle are same.

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Solve the system of equations below by graphing both equation . what is the solution?

Answers

y=2x-3
y=-2x+5
2x-3 = -2x+5
4x=8
x=2
y=2(2)-3
y=1
the answer is A.(2,1)

PLEASE HELP
what is there value of y?
what is the value of x?

Answers

Answer:

x=14

y=30

Step-by-step explanation:

5x+25=3x+53

5x=3x+28

2x=28

x=14

2y+35=95

2y=60

y=30

(I assumed all of the angles are equal, correct me if I'm wrong.)

Answer:x=14

Step-by-step explanation:

Let's first understand what we need to do. We need to solve for two variables, x and y. We do these by setting two systems of equations equal to each other. This is easily done for x, but for y the other equation is missing. Keep this in mind for later.

So, we will first start off by solving for x. We do this by using inverse operations.

5x+25=3x+53 We will subtract

5x=3x+28

2x=28 Divide

x=14

You can plug 14 into both the xs and they will be similar, and both will have the similar results once you solve for y and plug it into the equation along with x.

We know that the 5x+25 on the left is adjacent to 2y+35, and so is the second x. Adjacent angles add up to 180 total, and so to solve for y we need to plug 12 in the first x.

5(14)+25=95

180-95=85

85 is the value of 2y+35

We will solve for y just like any other alegrbaic problem

85=2y+35

50=2y

y=25

We know know that y is 25 and x is 14

Plug both values into 2 adjacent angles and they will add up to 180.

Im thinking of a number , multiply it by 4 and add 5 to the product, you get 41. Find the numbera) 9
b) 10
c) 11
d) 12

Answers

A

I hope this helps:D

Answer:

Answer is a) 9

Step-by-step explanation:

9 x 4 = 36

36 + 5 =41

Hope this help (｡･ω･｡)

Edit:

or you can use this method

41 - 5 = 36

36 divides by 4, then you will get 9

10. John is mixing paint.He uses black, green and blue in the ratio 6:3: 1. How much of black green and blue paint is needed to make a mixture of paint of 500ml.