Answer:
6
Step-by-step explanation:
Suppose the width is "a". Then the length is 2a.
2(a²) =72 Divide both sides by 2
a²= 36
a=6
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:
132
Step-by-step explanation:
Answer:
X=(5/4)^-10
Step-by-step explanation:
(5/4)^6÷x=(25/16)^8
(5/4)^6÷x=(5/4)^16
1/X==(5/4)^16÷(5/4)^6
X=(5/4)^6÷(5/4)^16
X=(5/4)^-10
So the value of X is (5/4)^-10
