Answer:
Step-by-step explanation:
The negative in front of the parenthesis changes the signs of the numbers and variables inside the parenthesis. We can rewrite as
4 - x - 1 = 6 and
3 - x = 6 so
- x = 3 and
x = -3
Step-by-step explanation:
6/15 = 12/30 = 24/60 = 48/75
Answer:
$17.50
Step-by-step explanation:
Multiply 7/8 by 20/1, to find 7/8 of $20.00.
7/8 × 20/1 = 140/8
140 ÷ 8 = 17.5
Once you convert to money, this is $17.50.
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.
Answer:
Bethanie and Laney walked a total of = 0.66 miles or (
th of a mile)
Step-by-step explanation:
Bethanie walked 3/10th of a mile
Laney walked 36/100th of a mile
Lets divide and convert them to decimal:
3 divided by 10 gives us 0.30
36 divided by 100 gives 0.36
Total they walked:
0.30 + 0.36 = 0.66 miles
That would be (in fraction):
66/100 = 33/50 of a mile
