Answer:
60 cm
Step-by-step explanation: how I got your answer is by multiplying 5 times 12
The answer to the system of equations is x = 3, y = -2 and z = 5.
In order to find this you can use elimination to create two equations with only x and y. First we will add equation one with equation 2 multiplied by 2.
-x + 2y + 2z = 3
6x + 2y - 2z = 4
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5x + 4y = 7
Then we can add equation 2 with equation 3.
3x + y - z = 2
2x + y + z = 9
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5x + 2y = 11
Now we can use these two equations together to solve for y. It will be easiest if we multiply the second one by -1.
5x + 4y = 7
-5x - 2y = -11
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2y = -4
And then we can solve for y.
2y = -4
y = -2
With that answer we can go back to any equation with just y and x and solve for x.
5x + 4y = 7
5x + 4(-2) = 7
5x - 8 = 7
5x = 15
x = 3
Now we can use x and y in any equation to find z.
2x + y + z = 9
2(3) + (-2) + z = 9
6 - 2 + z = 9
4 + z = 9
z = 5
Answer:
The system of equations =
25 + 0.05x = 12 + 0.09x
The number of stickers where the cost of both printers to be equal is 325 stickers
Step-by-step explanation:
Let the number of stickers = x
Printer 1
Pop Art Printing would charge a $25 setup fee and $0.05 per sticker.
$25 + $0.05× x
25 + 0.05x
Printer 2
Sticky Slogans would charge a $12 setup fee and $0.09 per sticker.
$12 + $0.09 × x
12 + 0.09x
We equate both equations together
The system of equations =
25 + 0.05x = 12 + 0.09x
Collect like terms
25 - 12 = 0.09x - 0.05x
13 = 0.04x
x = 13/0.04
x = 325 stickers
Therefore, the number of stickers where the cost of both printers to be equal is 325 stickers
1.6
if you take the average of the two numbers, you get 1.6
(1.5+1.7)*1/2= 1.6
