Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
we know that
The quotient of a fraction by a whole number is the same that multiply the fraction by the reciprocal of the whole number
so

Part 1) 1/4 divided by 2

Part 2) 2/3 divided by 6

Simplify

Answer:
-16
Step-by-step explanation:
- ( -24/6) ^2
Simplify inside the parentheses
- ( -4) ^2
Square -4
-(16)
-16
Answer:
Seven(7)
Step-by-step explanation:
8x-2y=48
8x-2(4)=48
8x-8=48
8x=48+8
8x=56
Divide both sides by 8
8x/8=56/8
x=7
To find the equation, identify the slope and the y-intercept.
The slope is the coefficient to the variable. When you see the word 'per', you know that 2 is the slope, as she is paying 2 dollars per movie. This, in mathematical terms, is represented as 2x.
The y-intercept is the amount she starts off with. She gets 5 for free, so the y-intercept is +5.
The equation is

To solve for c = 50, plug 50 in and subtract 5 from both sides:

m = 22.5
It should be 50(x+5). Let me know if you want more of an explanation.