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AysviL [449]
3 years ago
13

two friends at work at different companies, P and S. Both complanies use the number of hours that an employee's vacation hours.

The relationship between the number of hours worked and the number of vacation hours for employees at each company is shown in the table below. which statement describes the difference in each friends vacation if both work 2,080 hours.

Mathematics
1 answer:
astraxan [27]3 years ago
6 0
We can represent each company's graph by the following equations

V = (0.04)*H...............(Company P)

V = (0.06)*H...............(Company S)

(V represents the vacation hours and H the hours worked)

If both work 2080 hours

V1 = (0.04)*(2080) = 83.2 vacation hours..............(Company P)

V2 = (0.06)*(2080) = 124.8 vacation hours ..............(Company S)

124.8 - 83.2 = 41.6 hours

The friend at company S will have about 42 more vacation hours that the friend at company P


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Mrs. Dugan plans to serve 100 barbecue sandwiches at the company picnic. How many packages of barbecue buns will she need if bun
Aleonysh [2.5K]

100 sandwiches, using bun packages of 8...

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100 sandwiches, using bun packages of 12...

100/12=8.33 Since you cant have a third of a package, round up to 9 packages
6 0
3 years ago
The equation of two functions, PCX) and g(x), are typed into a graphing calculator in order to see both of the graphs on the sam
DedPeter [7]

Answer: 3.5

Step-by-step explanation:

I got it right on the test

6 0
3 years ago
What is the equation of the line perpendicular to 3x+4y=12 and containing the point (6,-2)
tester [92]

3x+4y=12

4y = - 3x + 12

 y = -3/4 x + 3; This line has slope equal - 3/4

Perpendicular lines, slope is opposite and reciprocal so slope of new line = 4/3

Passing point (6 , -2)

y + 2 = 4/3(x - 6)

y + 2 = 4/3 x - 8

y = 4/3 x - 10

Answer

Equation: y = 4/3 x - 10

6 0
3 years ago
A number is multiplied by 5. If 5 is added to the product, you get 10. What is the number?
maria [59]

Answer:

The unknown number is 1.

Step-by-step explanation:

You have to form an expression. So let's make the unknown number as x. Firstly, a number is multiplied by 5 :

x \times 5

= 5x

Secondly, 5 is added to product and you will get 10 :

5x + 5 = 10

Lastly, you have to solve :

5x + 5 = 10

5x = 10 - 5

5x = 5

x = 5 \div 5

x = 1

4 0
3 years ago
Read 2 more answers
If the circular opening of the pipe has a diameter of 21 inches and the oil was estimated to be flowing at 30 inches/second, how
Anestetic [448]
This is a matter of Amount = Rate  times  time.

First, find the area of the circular opening.  A = pi (r^2).  Here,

A = pi(10.5 inches)^2.

To obtain the volume of water that flows out of the pipe per second, multiply this area by the 30 inches per second rate.

That comes out to a volume per second of  Volume rate = pi*(10.5 inches)^2 * 30 inches per second:

Volume rate = 3.14(110.25 in^2)(30 inches/sec)
                     = 10390.8 cubic inches per second

Convert this result to cubic feet per second.  Recall that 1 cubic foot = (12 inches)^3, or 1728 cubic inches / 1 cubic foot.

Thus, 10390.8 cubic inches per second comes out to

           10390.8 cubic inches
           ----------------------------   =   Just over 6 cubic feet per sec.
               1728 cu. inches
                ---------------------
                  1 cu. ft

How many sec in 1 day?    1 day = 24 hours
                                             1 hour = 60 minutes
                                             60 seconds = 1 minute

Figure out how many seconds there are in 1 day, and then multiply your result by 6 cu. ft. / sec. 
8 0
3 years ago
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