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AleksandrR [38]
3 years ago
8

Two mechanics worked on a car. the first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. together they

charged a total of $1575. what was the rate charged per hour by each mechanic if the sum of the two rates was $155 per hour?
Mathematics
1 answer:
Bas_tet [7]3 years ago
3 0

Two mechanics worked on a car.

Now, mechanic 1 has spent 5 hours working on the car.

Mechanic 2 has spent 15 hours working on the car.

Lets say mechanic 1 charged 'x' dollars per hour and mechanic 2 charged 'y' dollars per hour.

So,

5x+15y=1575 that is our first equation ( 1 ):

And,

x+y=155 that is our second equation ( 2 ):

Using the two equations we can solve for 'x' and 'y', using our first equation we get:

x+3y=315

x+y=155

On solving for 'x' and 'y' we get:

y=80

and putting the value of 'y' in the equation 2 we get:

x=155-80=75

As mentioned earlier, 'x' represents the charge that mechanic 1 charged per hour and 'y' represents the charge that mechanic 2 charged per hour.

We have x=75 and y=80.

So, the mechanic 1 charged $75 per hour and mechanic 2 charged $80 per hour.

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a)13

b) skewed

c) IQR

d)Sam's observation is correct

e)6.17

Step-by-step explanation:

Step 1 :

From the histogram we can infer that

0 to 2 texts has been sent by 1 student

2 to 4 texts has been sent by 3 student

4 to 6 texts has been sent by 4 student

6 to 8 texts has been sent by 4 student

8 to 10 texts has been sent by 5 student

Step 2:

a)

From step 1 , we can see that there are total of 17 students represented by the histogram

Step 3:

b)

This is a skewed histogram because we have all large values of students on the right of the histogram and smaller values on the left of the histogram.

In symmetrical histogram, there would be large values on the center and the smaller values on both sides.

Step 4:

c)

IQR would be better recommendation for this as this is a skewed histogram

Standard deviation would be recommended for a symmetrical histogram

Step 5:

d)

Total number of students is 17

Number of students who text between 8 to 10 messages is 5

Hence the students who text between 8 and 10 messages is 5/17

which is nearly 1/3 rd of the total students.

Hence Sam's observation is correct

Step 6:

e)

Mean amount of the texts = (1 * 3 + 3* 3 + 5*4 +7*4 + 9* 5) /17 = 6.17

6 0
3 years ago
The Harrison family paid $14,400 in rent last year. The landlord has decided to raise rent 2.5% each year. How much will the Har
skelet666 [1.2K]

Answer: $16,200

Step-by-step explanation:

14,400 rent.

Raise of 2.5% (0.025)/year.

5 years.

Take the rent (14,400) and add 2.5% (0.025) of it (14400) for five (5) years.

14400+0.025(14400)(5)

14400+1800\\=16200

6 0
3 years ago
1 Point
Sav [38]

Answer:

50, 52, 54, 55, 56, 56, 64, 65, 68, 74, 74, 76, 77, 77, 80, 81,  90, 91, 95, 99,

Step-by-step explanation:

6 0
3 years ago
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