Answer:
See Explanation
Step-by-step explanation:
<u>Define the variables</u>
Let the entry fee be c and the hourly rate be m
Let the number of hours be x and the total amount be y
<u>Work to solve</u>
For Sami's skate
and 
For Brad's skate
and 
<u>The equations</u>
The equation is derived using: 
For Sami's skate
For Brad's skate
<u>When the cost are the same</u>
To do this, we equate both expressions
i.e.
i.e. the cost are the same at the 4th hour
<u>What is the cost</u>
Substitute 4 for x in any of the equations
<em>The cost is $14.00</em>
Exponential laws
x^-m=1/(x^m)
and (x^m)(x^n)=x^(m+n)
so
(3^-4)(3^2)=
3^(-4+2)=
3^-2=
1/(3^2)=
1/9
the answer is A
Simplifying
8a + 12b = 92
Solving
8a + 12b = 92
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-12b' to each side of the equation.
8a + 12b + -12b = 92 + -12b
Combine like terms: 12b + -12b = 0
8a + 0 = 92 + -12b
8a = 92 + -12b
Divide each side by '8'.
a = 11.5 + -1.5b
Simplifying
a = 11.5 + -1.5b
Answer:
x = 3/4 or 0.75
Step-by-step explanation:
Break the bracket out and you will get:
3(5x – 4) – 2 = 10 – 3x
= 3*5x - 3*4 - 2 = 10 - 3x
= 15x - 12 -2 = 10 -3x
Add 3x into both sides and subtract 12 and subtract 2 in both sides, we get:
15x + 3x - 12 - 2 + 12 - 2 = 10 - 3x + 3x + 12 + 2
18x = 24
Divide both side by 18, we get:
18x/18 = 24/18
x = 24/18 = 3/4 or 0.75
Hope this helped :3
