Answer:
When your multiplying exponents in the same parenthasis like x^2*x^4, you'll add the exponents so it will be x^6. If it is outside the parenthasis like (x^2)^4 you'll multiply the exponents so it will be x^8. good luck! :)
Step-by-step explanation:
Yes
The rule to check if a triplet of numbers can represent the sides of a triangle is the following: the sum of the length of two sides must exceed the third one.
This happens for all possible couples in your case:



The area is the product of length and width, which is to say that the length and width are factors of the area.
Assuming the dimensions are integers, you want factors of 84 that differ by 5.
... 84 = 1×84 = 2×42 = 3×28 = 4×21 = 6×14 = 7×12
The last of these pairs differ by 5, so ...
- the length is 12 inches
- the width is 7 inches.
Answer: 2.5 hours is the answer
Step-by-step explanation:
It took Travis 2.5 hours to complete 3/4 of his trip. To find the average speed, we need to find his speed during 3/4 of the trip and then the 52.5 miles.
So you know that 52.5 is 1/4 of his total trip. That means if we multiply that by 3, that's how many miles he traveled in 2.5hrs. (157.5)
To calculate speed, divide distance by time.
For 3/4 of his trip (157.5), it took him 2.5 hours.
157.5/2.5 = 63mph
For the remaining 52.5 miles, it took him an hour.
52.5/1 = 52.5mph
Now average those two speeds to get the average speed for the whole trip.
(63+52.5)/2= 57.6mph
To solve, divide the dollars by the pounds of peanuts to find the cost per pound:
12/8 =1.5
So, it cost $1.50 per pound of peanuts.
Hope this helps!