Positive 5/8 hope this helps :) uno reverse btw lol
Answer:
10%
Step-by-step explanation:
2 Answers:
- B) The lines are parallel
- C) The lines have the same slope.
Parallel lines always have equal slope, but different y intercepts.
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Explanation:
Let's solve the second equation for y
3y - x = -7
3y = -7+x
3y = x-7
y = (x-7)/3
y = x/3 - 7/3
y = (1/3)x - 7/3
The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.
However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.
Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.
Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.
I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.
H(x)=5x+15+4x+20
if x=4, together it would be 5(4)+15+4(4)+20
h(x)=20+15+16+20=71
Divided by 2, they'd each get 35.5
If Frank worked alone, he'd get 5(4)+15= 35
He'd make more working together.
The 40 ml solution is said to be created from 10 ml and 30
ml solutions. In mixture problems, we equate the final mixture to its
compositions given the concentration for each. A 10 ml has 20% acid and the 30 ml has C
(unknown). We can write the total liters for 10 ml as 10(.2) and 30(c) for the
30 ml. when two solutions were added, it should be equal to 40ml with 32% acid.
Therefore, it should be written as 10(.2) + 30(c) = 40(.32). The answer is A