1. This must be greater than or equal to 0 (there can't be any negatives!)
8 - .5t ≥ 0.
8 ≥ .5t
t ≤ 16
D.
2. 4(2x-1) = 2x + 35
8x - 4 = 2x + 35
6x = 39
x = 6.5
H.
3. c = .8(x-15) = .8x-12
A.
4. m = number of marble cupcakes
s = number of strawberry shortcake cupcakes
6m + 8.5s = 391
m = 1/2s
6(.5s)+8.5s = 391
11.5s = 391
s = 34
m = 17
F.
5. B
6. Use substitution
2x + 3x = 10
5x = 10
x = 2
7. (sorry I'm not sure!)
8. G
9. L = number of balls
B = number of bats
L + B = 100
B = 100 - L
4.5L+20B = 822
4.5L + 20(100-L) = 822
4.5L -20L + 2000 = 822
1178 = 15.5L
L = 76
10. J
Answer: I’ll explain it in simpler terms for you. A proportional relationship is one in which two quantities vary directly with each other. Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional. An example of a proportional relationship is simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. Hope this helps! :D
Answer:
it is c
Step-by-step explanation:
Answer:
y = x + 2
Step-by-step explanation:
The expression x-2 is from the equation y = x - 2.
To find the inverse of the equation, <u>switch the "x" and "y" variables</u>, then solve or <u>isolate for "y"</u>, meaning to separate it from the other numbers.
y = x - 2 Original equation
x = y - 2 Switched "x" and "y" variables
x + 2 = y - 2 + 2 Add 2 to both sides to cancel out '-2' on the side with "y"
x + 2 = y
y = x + 2 Variable is on left side in standard formatting
To isolate, do the reverse operation for the number you want to get rid of.
On the side with "y", I wanted to get rid of '-2' so I could separate "y" from everything else. '+2' is the reverse operation for '-2'.
