To express
5
−
2
as a positive exponent we will use this rule of exponents:
x
a
=
1
x
−
a
5
−
2
=
1
5
−
−
2
=
1
5
2
1*10^12
Which means like 11 0's at the end of the 10
Each ticket is $34 each
32+12+2x=112
44+2x=112
-44 -44
———————-
2x=68
— —
2 2
x=$34
Hi,
81 is 37.5% of 216.
"1. We assume, that the number 37.5 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 37.5, so we can write it down as 100%=37.5.
4. We know, that x% equals 81 of the output value, so we can write it down as x%=81.
5. Now we have two simple equations:
1) 100%=37.5
2) x%=81
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=37.5/81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 81 is what percent of 37.5
100%/x%=37.5/81
(100/x)*x=(37.5/81)*x - we multiply both sides of the equation by x
100=0.46296296296296*x - we divide both sides of the equation by (0.46296296296296) to get x
100/0.46296296296296=x
216=x
x=216 "
Have a great day!