Answer:

Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
- Parallel lines will always have the same slope but different y-intercepts.
<u>1) Determine the slope of the parallel line</u>
Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

Switch the sides

Divide both sides by 2 to isolate y

Now that this equation is in slope-intercept form, we can easily identify that
is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope
. Plug this into
:

<u>2) Determine the y-intercept</u>

Plug in the given point, (4,0)

Subtract both sides by 6

Therefore, -6 is the y-intercept of the line. Plug this into
as b:

I hope this helps!
Answer:
c
Step-by-step explanation:
Answer: 30 students more voted for Gerardo than for Juju.
Explanation:
<u>so 'x' represent the total number of students</u>
<u />
<u>0.40x of the students voted for Gerardo</u>
<u />
<u>0.35x of the students voted for Leandro</u>
<u />
<u>0.25x of the students voted for Juju</u>
<u />
<u>70 students voted for Leandro:</u>
<u />
<u>0.35x = 70 </u>
<u />
<u>by solving we find:</u>
<u />
<u>x = 200 students</u>
<u />
<u>0.40x - 0.25x = (0.40 - 0.25)x = 0.15x = 0.15*200 = 30</u>
<u />
<u />
Answer:
8
Step-by-step explanation:
First multiply $4.50 and 6, you get $27.
Subtract $27 from $39, you get $12 left.
Divide $12 by .25cents, you get 48 pieces of candy.
Divide 48 by 6, you get 8.