16/18=3/n
8/9=0.88888888 recurring
0.8888888 recurring*3=2 2/3
n=2 2/3
Answer:
x =2, x = 4
Step-by-step explanation:
x^2 - 6x + 8 = 0
(x - 2)(x - 4) = 0
x - 2 = 0; x = 2
x - 4 = 0; x = 4
Answer:
r = 3.
Step-by-step explanation:
16 = 10 + √(3r + 27)
√(3r + 27) = 6
Square both sides:
3r + 27 = 36
3r = 36 - 27 = 9
r = 3.
Check the result:
Left side of the equation = 16
Right side = 10 + √(9 + 27)
= 10 + √36 = 16
Answer:
x is less than 4
or
x is greater than 4
Step-by-step explanation:
-5x < -15x + 40 -5x < -15x + 40
+15x +15x -40 -40
10x < 40 -40 - 5x < -15x
÷10 ÷10 +5x +5x
× < 4 -40 < -10x
÷10 ÷10
4 < ×
Answer: One plain roll is 4 dollars and one shiny roll is 6 dollars.
Step-by-step explanation:
lets start by saying
rolls of plain wrapping paper = x
rolls of shiny wrapping paper = y
Kathryn sold 4 plain rolls and 3 shiny rolls for 34 dollars.
4x+3y=34
Eugene sold 4 plain rolls and 2 shiny rolls for 28 dollars
4x+2y=28
Both equations will look like this.
4x+3y=34
-1(4x+2y)=(28)-1
we can multiply the second equation by -1 to get y alone. (doesn't matter which equation). Once you do that, the positive 4x and the negative 4x cancel out, 3y-2y=1y and 34-28=6. you are left with
1y=6 so one shiny roll is 6 dollars.
now use that price to find the cost of the plain roll.
lets use Kathryn's equation
4x + 3(6)=34
4x + 18= 34
-18 -18
4x=16. Divide by 4 to find cost of one plain roll.
16÷4=4. One plain roll costs 4 dollars.
Lets check. Using Kathryn's equation,
4(4) + 3(6)=34
16+18=34
34=34. We are right.
