Answer:
13 )c
16) c
17) a
18 )d
20) 9x^2 +12
number 20. the answer is not in the option
Given that total volume of the solution = 12 quarts
Let volume of water added = x quarts
Then volume of 30% vinegar = (12-x) quarts
Given that x quarts of 0% water is mixed with (12-x)quarts of 30% vinegar to obtain 12 quarts of 25% solution
So we can write equation as:
[0% of x] + [30% of (12-x)] = [25% of 12]
or 0x + 0.30(12-x) = 0.25*12
or 0 + 3.6-0.30x = 3
or -0.30x = 3-3.6
or -0.30x = -0.6
x=2
Hence answer will be 2 quarts of water.
Answer:
y = 15°
Step-by-step explanation:
Since ∠QOR and ∠UOT are vertical, they are congruent so ∠UOT = 5y. Since POS is a straight line (which has a measure of 180°) and ∠POS = ∠POU + ∠UOT + ∠TOS, we can write:
5y + 5y + 2y = 180
12y = 180
y = 15°
Answer:
7 x = -35
Step-by-step explanation:
Which equation results from adding the equations in this system? 11 x minus 3 y = -17. Negative 4 x + 3 y = - 18.
- 7 x = negative 35
- 7 x = 35
7 x = negative 35
7 x = 35
In this problem we need to add the equations below i.e.
11x-3y = -17 and -4x+3y=-18
Adding both equations,
11x-3y+(-4x)+3y = -17+(-18)
7x= -35
or
7 x = negative 35
Hence, the correct option is (c).