Answer:
Part a)
The quantity of fruit pies sold was ![42](https://tex.z-dn.net/?f=42)
The quantity of juice bottles sold was ![48](https://tex.z-dn.net/?f=48)
Part b) Mr. Kelly’s class earned more money
part c) ![\$29.52](https://tex.z-dn.net/?f=%5C%2429.52)
Step-by-step explanation:
Part a)
Let
x-----> quantity of fruit pies sold
y----> quantity of juice bottles sold
we know that
![x+y=90](https://tex.z-dn.net/?f=x%2By%3D90)
-----> equation A
----> equation B
substitute equation A in equation B
bottles of fruit juice
Find the value of x
------>
fruit pies
Part b) Which class earned more money?
Mr. Sanchez’s class
![\$1.32x=1.32*42=\$55.44](https://tex.z-dn.net/?f=%5C%241.32x%3D1.32%2A42%3D%5C%2455.44)
Mr. Kelly’s class
![\$1.77y=1.77*48=\$84.96](https://tex.z-dn.net/?f=%5C%241.77y%3D1.77%2A48%3D%5C%2484.96)
therefore
Mr. Kelly’s class earned more money
Part c) How much more money did that class earn?
Find the difference
![\$84.96-\$55.44=\$29.52](https://tex.z-dn.net/?f=%5C%2484.96-%5C%2455.44%3D%5C%2429.52)
<span>2 pieces of ribbon measuring 1/3 meter can be cut from a piece of ribbon measuring 3/4 meters. 3/4-2/3 is 1/12 meaning that 1/12 meters is leftover.</span>
Y = 3x - 2....so we sub in 3x - 2 for y in the other equation
-3x + y = -2
-3x + (3x - 2) = -2
-3x + 3x = -2 + 2
0 = 0
there is infinite solutions to this problem
$9 would be 3/4 of 12 dollars.
If the range of the possible points that can be chosen is from 0 to 3, then the possible points that can be picked are:
(0, 1), (0, 2), (0, 3)
(1,0), (1, 1), (1, 2), (1, 3)
(2,0), (2, 1), (2, 2), (2, 3)
(3,0), (3, 1), (3, 2)
Only the coordinates (0,3) and (0,3) as the third point will produce a right triangle. The probability equation is:
P = successful outcomes / total outcomes
P = 2 / 10
P = 0.2 or 20%