= 11/12 - 1/6q + 5/6q - 1/3
to add like terms, we must first convert 1/3 to a common denominator with 11/12
= 11/12 - 1/6q + 5/6q - 4/12
combine like terms
= (-1/6q + 5/6q) + (11/12 - 4/12)
add/subtract inside each parentheses
= 4/6q + 7/12
simplify 4/6 by 2
= 2/3q + 7/12
ANSWER: 2/3q + 7/12
Hope this helps! :)
Answer:
−0.171428571 or -6/35
Step-by-step explanation:
This is the Simplest form
Answer:
2%
Step-by-step explanation:
20% takes 10 years to decay
To find per year decay, we divide the percentage by the number of years, so we get unit rate of years {per year]. Thus we have:
20%/10 = 2% per year
It's that simple.
Hence, the percentage by which the substance decays each year is 2%
Answer:
About 15%
Step-by-step explanation:
Since the weather is good, this means that 500 flights are affected because 50% of the flights experience good weather and 50% of the flights experience bad weather.
there will be 75 flights that are delayed due to causes other than bad weather
if you assume that all of the flights that are not caused by bad weather occur in good weather, then the probability would have to be 75 / 500 = .15 = 15%.
Answer:
11/6 or 1.8333333333
Step-by-step explanation:
= 
Cross Multiply:
7 x 6 = 42
9 (2x+1)
42 = 9(2x+1)
42 = 18x + 9
Then, isolate the variable. In order to do so, subtract 9 from both sides.
33 = 18x
Now, divide by 18 (to find x)
33/18 =
1.8333333 or 11/6