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777dan777 [17]
1 year ago
13

An automotive technician has two job offers. Shop A would pay him a straight salary of $900 per week. Shop B would pay him $25 p

er hour to work flat rate, where hishours would vary according to how many jobs he completes. How many hours would he have to log during a week at Shop B in order to match the salary at Shop A?He would have to log hours during a week at Shop B in order to match the salary at Shop A.Please help

Mathematics
1 answer:
JulsSmile [24]1 year ago
7 0

Given,

The salary for the technician from shop A is $900 per week.

The salary for the technician from shop B is $25 per hour.

The equation for the total pay for shop B is,

\text{Total pay= salary of per hour}\times number\text{ of hour worked}

Taking the total pay as 900. As, to make the shop A and shop B equal.

\begin{gathered} 900=25\times Number\text{ of hour worked} \\ Number\text{ of hour worked}=\frac{900}{25}=36 \end{gathered}

Hence, he would have to log 36 hours during a week at Shop B in order to match the salary at Shop A.

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Sean is driving to visit his friend in another state.In the first hour he travels 1/5 of the total distance. In the second hour
lozanna [386]

Answer:

They live 285 miles apart

Step-by-step explanation:

Let the total distance be x miles

Sean is driving to visit his friend in another state. In the first hour he travels 1/5 of the total distance. This means that he drove x/5 in the first hour. In the second hour he travels 34 miles. That means

Total distance driven in the first and second hour is

(x/5 + 34)miles

He still has 194 miles more to go.

Therefore,

The total distance is the sum of the distance travelled in the first and second hour + the remaining distance.

x = x/5 + 34 + 194

x = x/5 + 228

Cross multiplying

5x = x + 1140

4x = 1140

x = 1140/4 = 285 miles

7 0
3 years ago
What is an equation of the line that passes through the point (-4,8) and is parallel to the line x+y=6? ​
satela [25.4K]

Answer:

y = -x + 4

Step-by-step explanation:

x + y = 6 => y = -x + 6

The line that parallel to y = -x + 6 has same slope so m = -1

Using coordinates (-4,8)

y = mx + b

8 = (-1)(-4) + b

8 = 4 + b

b = 4

then y = -x + 4

7 0
2 years ago
What is the simplified form of the following expression? Assume y not-equals 0. RootIndex 3 StartRoot StartFraction 12 x squared
Rina8888 [55]

Answer:

i dont know mann

Step-by-step explanation:

5 0
3 years ago
What is the LCM for 12 and 14
konstantin123 [22]

Answer:

84

Step-by-step explanation:

Brainliest please?

5 0
3 years ago
2x+3y=0 and x+2y=-1 <br> Solve by substitution
dmitriy555 [2]

Answer:

The solution of the given equations is (-3,2)

Step-by-step explanation:

<u>Step:1</u>

The Given equations are 2 x+3 y=0 .......(1)

                                          x+2 y-1 =0.........(2)

<u>Step 2:-</u>

Solving<u> </u>both equations by using substitution method

multiply equation (2) with number '2' ,  

2 x+4 y-2=0.......(3)

subtracting the equations (1) and (3) and cancelled 'x' terms

we get 3y-4y=0-2

y=2

<u>Step 3:</u>-

substitute y= 2 in equation (1) we get

2 x+3 y=0

2 x+3(2)=0

2 x=-6

x=-3

<u>Final answer</u>:-

The solution of the given equations is (-3,2)

8 0
4 years ago
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