4
5x - 4 = 16
Add four to both sides
5x = 20
Divide both sides by 5
x = 4
# of apples
3/8(a)=# of oranges
p=# of pears
3/4(p)=# of oranges
(3/8)a=(3/4)p
(3/8)/(3/4)=p/a
(3/8)(6/8)=p/a
3/6=p/a
1/2=p/a
the ratios of pears to apples is 1 to 2
for every 1 pear there are 2 apples
if there are 4 pears there are 8 apples
there are 8 apples
(3/8)(8)=3 oranges
there are 4 pears
(3/4)(4)=3 oranges again
8 apples, 3 oranges, 4 pears
15 pieces of fruit and 3 are oranges
ratio is 3/15=1/5
4/5/2015 | Arthur D.
Answer:
y=(1/5)x-5
Step-by-step explanation:
The given equation is
y=(1/5)x+4
This is of the form
y=mx+b
which is called the slope-intercept form because
m is the slope
b is the y intercept.
In this case,
m=1/5
b=4
you can see from the chart that this matches the red line.
If two lines are parallel, they must have the same slope. So we know that the slope of the desired line is 1/5. So, now we know that
y=(1/5)x+b
Since the line must go through the point (5,-4), we have
-4=(1/5)(5)+b
-4=1+b
b=-5
So, the desired line is
y=(1/5)x-5
We can use the formula y2-y1/x2-x1 to find the slope.
1. 2-(-15)/12-5 gives us 17/7. The slope is 17/7.
2. -5-(-20)/6-(-18) gives us 15/24. We can simplify this to 5/8. The slope is 5/8.
3. -19-(-19)/-17-(-18) is 0/1. The slope is 0.
4. -17-3/-11-(-1) is -20/-10. The slope is 2.
