X= cost per cherry pie
y= cost per pumpkin pie
NICOLE
1x + 9y= $60
LISA
11x + 4y= $90
STEP 1
multiply Nicole's equation by -11
-11(1x + 9y)= -11($60)
multiply -11 by all terms
(-11 * x) + (-11 * 9y)= (-11 * 60)
-11x - 99y= -660
STEP 2
add Nicole's new equation from step 1 to Lisa's equation to solve for y (using the elimination method)
-11x - 99y= -660
11x + 4y= 90
the x terms "cancel out"
-95y= -570
divide both sides by -95
y= $6 per pumpkin pie
STEP 3
substitute y value into either original equation to solve for x
x + 9y= $60
x + 9(6)= 60
x + 54= 60
subtract 54 from both sides
x= $6 per cherry pie
CHECK
11x + 4y= $90
11(6) + 4(6)= 90
66 + 24= 90
90= 90
ANSWER: Each cherry pie costs $6 and each pumpkin pie costs $6.
Hope this helps! :)
Answer:
A. The relationship is proportional.
C. The slope is negative.
✓ A. The relationship is proportional.
-> We have a one to one proportion because the relationship is linear
✗ B. The slope is –6.
-> The slope is -3/2, not -3
-> We can pick a point, and then we count down 3 and over 2 to the next point
✓ C. The slope is negative.
-> Because the line is going from top left to bottom right the line is negative
✗ D. The y-intercept is –3.
-> The slope is -3/2, not -3
-> We can pick a point, and then we count down 3 and over 2 to the next point
✗ E. The equation of the line is y = –3x.
-> Again, the slope should be -3/2, not -3
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
A and D
Step-by-step explanation:
Answer:
x = 7
Step-by-step explanation:
Assuming the quadrilateral is a parallelogram, then the diagonals bisect each other.
7x - 8 = 41
7x = 49
x = 7
