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: Table A
Step-by-step explanation:
The coefficient of x^2 is 1, the coefficient of x is -6, and the constant is 0. This means that a = 1, b = -6, and c = 0.
- This eliminates tables B and C.
Now, we need to determine if the graph opens up or down to differentiate between A and B. Since the coefficient of x^2 is positive, the graph opens up.
- Thus the answer is <u>Table A.</u>
Let x = small number
y=large numebr
x+y = 90
y-4x=15
substitute
we get:
x=21
y=90-21 = 69
Answer:
6 cm
Step-by-step explanation:
1 cm : 9 meters --> 1cm/9m
? cm : 54 meters --> ?cm/54m
Answer: 12
Step-by-step explanation:
So if its 1-10, and you can either roll a 1 or 2, it would be 2/10, then simplified to 1/5, and in order to get the answer you need to multiply it by 60
1/5 x 60/1 = 12
(sorry if I got it wrong, feel free to correct me if I did)
