When you are multiplying 2 numbers with exponents, you need to add the exponent. When you multiply an exponent with an exponent, you multiply them.
So,
(3^2 x 7^4) ^9
First multiply the base and add exponents = ( 21^6) ^9
= 21 ^6x9
21^54
The same rule applies for variables, just pretend there is an imaginary 1.
For the wooden box, if you do 7560 ÷ 180 you get 42. that's how many boxes you would need. multiply 42 by the cost of the wooden boxes: 42 × 0.70 you get 29.40 dollars
for the plastic container, do 7560 ÷ 126 which equals 60, the amount of plastic containers you would need. multiply 60 by the plastic containers cost: 60×40= 24 dollars.
to save money, the company should use the plastic containers because it costs less than the wooden ones.
Answer:
The probability is 1/9
Step-by-step explanation:
The probability of rolling a 5 the first time is 1/6
The probability of rolling a number greater than 2
Numbers greater than 2 are 3, 4, 5, 6
So the probability of rolling a number out of these four is 4/6
So the probability of rolling a five for the first time and the probability of rolling a number greater than 2 the second time will be
1/6 * 4/6 = 4/36 = 1/9
8 glasses in order to make money because if you sell each glass for $2 times that by 8 it’s $16
