The Science Club wants to print stickers to promote their club and an interest in science. They got a quote to print the stickers from two printers. Pop Art Printing would charge a $25 setup fee and $0.05 per sticker. Sticky Slogans would charge a $12 setup fee and $0.09 per sticker. Write a system of equations that can be used to find the number of stickers for the cost of both printers to be equal.

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

answer: .75 km

step-by-step explanation:

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.