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otez555 [7]
2 years ago
8

Abe,a plumber, charges $50 per hour plus $75 for making an in-home visit. The Plumbing Service charges $65 per hour but no set f

ee for a visit. How many hours of Plumbing work are needed for each to cost the same?​
Mathematics
1 answer:
Rasek [7]2 years ago
5 0
Steps:

let “x” be number of hrs
let “y” be total cost

Abe:

50x + 75 = y

Plumbing Service:

65x=y

Since both equations are equal to y, you can set them equal to each other.

65x = 50x + 75

isolate for x:

65x - 50x = 75
15x = 75
x = 5

therefore it will take 5 hours for each to cost the same. you should call Abe for any task more than 5 hours because it will be cheaper and you should call the Plumbing Service for any task less than 5 hours because it will be cheaper.
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Which of these is longest distance 0.1203km or 123m or 1230cm or 12030mm
bogdanovich [222]
<h3>Answer: 123 meters is the longest </h3>

============================

Work Shown:

Convert everything to the same unit. I'm going to convert everything to meters

0.1203 km = 120.3 meters (multiply by 1000)

1230 cm = 12.3 meters (divide by 100)

12030 mm = 12.03 meters (divide by 1000)

------------------

The four distances we have are: 120.3 meters, 123 meters, 12.3 meters, 12.03 meters. We see that 123 meters is the longest.

7 0
2 years ago
The function below shows the number of car owners f(t), in thousands, in a city in different years t: f(t) = 0.25t^2 - 0.5t + 3.
Bingel [31]
The average rate of change (m) is the ratio of the change in function value to the width of the interval:
  m = (f(6) - f(2))/(6 - 2)

To compute this, we need to compute f(6) and f(2).
  f(6) = (0.25*6 -0.5)*6 +3.5 = 9.5
  f(2) = (0.25*2 - 0.5)*2 +3.5 = 3.5
Then the average rate of change is
  m = (9.5 - 3.5)/(6 - 2) = 6/4 = 1.5

The average rate of change is 1.5 thousand owners per year.
3 0
2 years ago
Read 2 more answers
Emily and Andy each go to a hardware store to buy wire. The table shows the cost y in dollars for x inches of the wire they need
Julli [10]
Where is the table ?
7 0
1 year ago
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The crew of apollo 17 consisted of 2 pilots and a geologist. Suppose that nasa had actually trained 9 pilots and 4 geologists as
Troyanec [42]

They could have assembled total 336 different possible crews.

<em><u>Explanation</u></em>

Total number of trained pilots is 9 and geologists is 4.

The crew should be consisted of 2 pilots and 1 geologist. That means, <u>2 pilots are chosen from total 9 and 1 geologist is chosen from total 4</u>.

Number of ways for choosing 2 pilots from 9 = ^9C_{3} =84 and

Number of ways for choosing 1 geologist from 4 =^4C_{1}= 4

So, the total possible number of different crews they could have assembled =84*4= 336

8 0
2 years ago
The atmospheric pressure at sea level is 14.7 lb/in2. This pressure is reduced by half for each 3.6 miles above sea level. Which
Korvikt [17]

<u>Solution-</u>

The atmospheric pressure at sea level = 14.7 lb/in²

Pressure gets reduced by half for each 3.6 miles we move up.

Taking,

x = miles above the sea-level

y = pressure in lb/in²

0         14.7

3.6         7.35

7.2         3.675

10.8         1.8375

It can be observed that both the variables are in inverse proportion as the distance from sea-level increase the pressure decreases.

As only the second graph satisfies the points and inverse proportional condition, so that is the correct graph.

By plotting the graph in excel taking these data set, the following plot was obtained.

8 0
2 years ago
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