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Svetlanka [38]
2 years ago
5

An officer printer prints 25 photos in 12.5 minutes. A home printer prints 15 photos in 6 minutes. Which printer is faster, How

many more photos can you print in 12 minutes using the faster printer?​
Mathematics
2 answers:
ollegr [7]2 years ago
7 0

Answer:

The home printer is faster.

Step-by-step explanation:

25 photos in 12.5 minutes

12.5 is half of 25 and therefore this is a two to one ratio.

So 2 photos print in 1 minute with the office printer.

And 4 photos in 2 minutes(this is relevant later)

The home printer prints 15 photos in 6 minutes. Since 15 is not divisible by 6 without a remainder divide both by 3.

So 5 photos in 2 minutes. This is faster than the office printer.

To find how many photos it would print in 12 more minutes, simply multiply 15 by two, since the minutes(6) was multiplied by 2 to get 12. This leaves you with an answer of 30 photos in 12 minutes

Svetllana [295]2 years ago
7 0

Answer:

The home printer is faster.

We can print 6 more photos in 12 minutes using the faster printer.

Step-by-step explanation:

We can find how many photos per minute each printer prints using the following formula:

PPM = \frac{p}{t}

In which p is the number of photos and t is the time in minutes.

Officer

An officer printer prints 25 photos in 12.5 minutes. This means that p = 25, t = 12.5. So

PPM = \frac{p}{t} = \frac{25}{12.5} = 2

The officer printer prints 2 photos per minute.

Home

A home printer prints 15 photos in 6 minutes. This means that p = 15, t = 6. So

PPM = \frac{p}{t} = \frac{15}{6} = 2.5

The home printer prints 2.5 photos per minute. So, it is faster than the office printer.

How many more photos can you print in 12 minutes using the faster printer?​

Using the officer printer, that prints 2 photos a minute, we can print 12*2 = 24 photos in 12 minutes.

Using the home printer, that prints 2.5 photos a minute, we can print 30 photos in 12 minutes. This means that we can print 6 more photos in 12 minutes using the faster printer.

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Solve system of equations 2x + 2y + 5z = 7 6x + 8y + 5z = 9 2x + 3y + 5z = 6
svet-max [94.6K]

Answer:

the values of x, y and z are x= 2, y =-1 and z=1

Step-by-step explanation:

We need to solve the following system of equations.

We will use elimination method to solve these equations and find the values of x, y and z.

2x + 2y + 5z = 7     eq(1)

6x + 8y + 5z = 9     eq(2)

2x + 3y + 5z = 6     eq(3)

Subtracting eq(1) and eq(3)

2x + 2y + 5z = 7

2x + 3y + 5z = 6

-    -       -        -

_____________

0 -y + 0 = 1

-y = 1

=> y = -1

Subtracting eq(2) and eq(3)

6x + 8y + 5z = 9    

2x + 3y + 5z = 6    

-     -      -          -

______________

4x + 5y +0z = 3    

4x + 5y = 3      eq(4)

Putting value of y = -1 in equation 4

4x + 5y = 3

4x + 5(-1) = 3

4x -5 = 3

4x = 3+5

4x = 8

x= 8/4

x = 2

Putting value of x=2 and y=-1 in eq(1)

2x + 2y + 5z = 7

2(2) + 2(-1) + 5z = 7

4 -2 + 5z = 7

2 + 5z = 7

5z = 7 -2

5z = 5

z = 5/5

z = 1

So, the values of x, y and z are x= 2, y =-1 and z=1

5 0
3 years ago
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