Answer:
1/5 is left.
Step-by-step explanation:
Portion remaining after the bar was eaten by his brother = 1 - 1/5 = 4/5.
Portion remaining after John ate 3/4 of this = 4/5 - 3/4* 4/5 = 4/5 - 3/5
= 1/5.
Answer: x=-2 y=2
Step-by-step explanation:
I decided that isolating the y value of the second equation is the best way to start solving.
I divide 3 from both sides to get y= (4-x)/3. With this, I can substitute into the first equation. 4x+3(4-x)/3)=-2.
The multiplying the 3 by the denominator three cancels each other out to make:
4x+4-x=-2.
We subtract 4 on both sides and then subtract x from 4x.
We end up with 3x=-6. Then, we divide both sides by 3.
x=-2.
Now we substitute this into the second equation to solve.
3y=4-(-2)
This becomes 3y=4+2 which is 3y=6
We divide both sides by 3 to get y=2
We end up with x=-2 and y=2.
I hope you learned something :)
Answer: y + 1 = 2 (x -1)
Step-by-step explanation:
Point slope form is:
y - y1 = m (x - x1)
Point on the line is (1, -1) and slope is 2
m = 2
y1 = -1
x1 = 1
y - (-1) = 2 (x - 1) or y + 1 = 2 (x -1)
Any point in that shaded area is a solution
(0,0) is a solution
(-1,-1) is a solution
(-3,3) is a solution
etc
Answer:
$15.71
Step-by-step explanation:
They have already raised $218.25.
$483.62 - $218.25 = $265.37 left to raise
There are 17 students, so the remaining amount can be divided between them.
$265.37 ÷ 17 students = $15.71 that each student needs to raise
You can check this by multiplying $15.71 by 17.