In order for you to get the answer you must divide. Find a number the goes into both 9 and 81. You're lucky 81 is a multiple of 9. So we can use 9. So 9/81 divided by 9.
9/9=1
81/9=9
So 9/81=1/9
To multiply rational expressions you just multiply tops and multiply the bottoms so
5/2x+1 * 6/x = 30/2x^2+x
Answer:
2½
Step-by-step explanation:
First find the Least Common Denominator [LCD], which is 6, then convert 5⅙:
5⅙ → 4 7⁄6
You see, we regrouped 1 from 5⅙ to make sure that the top mixed number had a higher value than the bottom mixed number, so it is much easier to work with.
I am joyous to assist you anytime.
Answer:
40 mph
Step-by-step explanation:
We assume "outbound" refers to the trip <em>to the lake</em>. The ratio of speeds is inversely proportional to the ratio of times, so ...
outbound speed : inbound speed = 4 : 3
These differ by one ratio unit, so that one ratio unit corresponds to the speed difference of 10 mph. Then the 4 ratio units of outbound speed will correspond to ...
4×10 mph = 40 mph
Paul's average speed on the outbound trip was 40 mph.
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The distance to the lake was 120 mi.
