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! :)
Considering the angle of the ray, it is found that the value of x is of x = 55º.
<h3>What is the angle of the ray?</h3>
The ray has an angle of 180º. It is composed by:
Hence:
x + 35 + 90 = 180
x = 180 - 125
x = 55º.
More can be learned about angles and rays at brainly.com/question/25770607
#SPJ1
Part A:
3.14 X (4)^2 X 3/3
= 50.26548246
Answer:
I thinks they take 5 hours to meet each other
The planes will pass each other in 1.14 hours.
Why?
To solve the problem, we must remember that since both planes are heading toward each other, the speed to the calculations will be their combined speeds.
The speed will be:
Now, calculating the time, we have:
Hence, the planes will pass each other in 1.14 hours.
Have a nice day!
