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! :)
Step-by-step explanation:
8(7k+1)
no need to thank me
Answer:
The maximum number of volleyballs that she can buy is 19
Step-by-step explanation:
Let
x ----> the number of volleyballs
we know that
The cost of each volleyball net ($28) by the number of volleyball nets (4) plus the cost of each volleyball ($7) multiplied by the number of volleyballs (x) must be less than or equal to $250
so
The inequality that represent this situation is
Solve for x
subtract 112 both sides
Divide by 7 both sides
therefore
The maximum number of volleyballs that she can buy is 19
Answer:
45.413 cm³
Step-by-step explanation:
Because the volume of a orament is 57 cm³ . The volume of twenty-seven oraments is 1242 cm³ . The volume of a cube is 46656 cm³
⇒The empty space is :
46656-1242=45414 ( cm³)
So the empty space is 45414 cm³
