Answer:
4^-3= 1/64
Step-by-step explanation:
Simplify the power using PEMDAS, so that will be 2-(3*4)+7, which is -3.
Then, since a number with a negative power has to be a fraction, it will be 1/64.
Hope this helped.
Answer:
18550 - 10x
Step-by-step explanation:
Given that :
Cost of admission in Advance = $25
Cost of admission at the door = $35
Number of people who paid in advance = x
Total number of tickets sold = 530
Total amount made from ticket sales will be :
(Number who paid in advance * cost) + (number who paid at the door * cost)
(25 * x) + (530 - x) * 35
25x + 18550 - 35x
18550 - 10x
Let child admissions be x and adult admissions be y. We can then use the information given to form a system of equations and solve that system.
The first equation is based on the information about the money made.
5.50x+8.60y=726.40
The second equation is based on the fact that twice as many adult tickets as child tickets were sold.
y = 2x
Since we have an equation equal to one of the variables, substitution will be the easiest way to solve this system. This is when we replace the variable of an equation with its value in the other.
5.50x+8.60y=726.40
5.50x+8.60(2x)=726.40
5.50x+17.2x = 726.40
22.7x = 726.40
x = 32
The number of children tickets sold was 32.
Extra:
To find the number of adult tickets can be found by plugging in the known value we found and solving for the other unknown.
y = 2x
y = 2(32)
y = 64
The number of adult tickets sold was 64.
Answer:
B
Step-by-step explanation:
Angle Angle Side Congruence Theorem proves ΔMNQ = ΔPNQ.
