Lucy graphed the equations x + 9 y = 5 and 4 x + 15 y = negative 1 and saw that they intersected at the point (–4, 1) as shown. On a coordinate plane, 2 lines intersect at (negative 4, 1).

What can Lucy conclude?
(–4, 1) is a solution to the system of linear equations.
(–1, 4) is a solution to the system of linear equations.
(1, –4) is a solution to the system of linear equations.
(4, –1) is a solution to the system of linear equations.

the answer will be the last one

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.

answer for #1 is c

answer for #2 is d

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b. 153 students do not participate in sports and seventy-five 12th graders were surveyed