Answer:
Step-by-step explanation:
Let a = original amt in the savings account
"He spent $48 on a radio and 3/8 of what was left on presents for his friends."
Therefore he kept 5/8 of what was left
5/8(a - 48)
5/8(a - 30) left
:
John then put 2/3 of his remaining money into a checking account and donated the $100 that was left to charity.
a = 2/3(5/8a - 30) + 100
a = 5/12a - 20 + 100
a = 5/12a + 80
a - 5/12a = 80
7/12a = 80
a = $137.17 originally in his saving acct
Answer:
The first picture's answer would be (6, 21)
Step-by-step explanation:
You have to find the points on the 8th and the 9th day, and then you would add them together, and then divide by two finding the average, which would be 24 and 18, so when added, you get 42, divided by 2 you get 21. You look on the graph for the point with 21, and you find it is on 6.
y=3x-2 y=-2x+8
3x-2=-2x+8 (plus 2 each side)
3x=-2x+6 (plus 2x each side)
5x=6 (divide by 5 each side)
x=1.2
Plug x back into an equation
y=3(1.2)-2
y=3.6-2
y=1.6
Answer: (1.2, 1.6)
1. Let A(a,b) be a point in the coordinate axis. The reflection of A with respect to the x-axis is the point A'(a, -b).
2. So the reflection of C(6, 4) is C'(6, -4)
3. Remark, a picture is always helpful when dealing with reflections.
O = 2i - 1
o = output
2 i = twice the input
then -1 = one less