14^(7x) = 17^(-8-x)
Take the log of both sides:
7x*log 14 = -(8+x)*log 17, or 7x^log 14 = -8*log 17 - x*log 17.
Grouping the x terms, we get x(7*log 14 + log 17)= -8*log 17
Then:
-8*log 17
x= -------------------------- (answer)
7*log 14 + log 17
Answer:
38 5/28
Step-by-step explanation:
Well start with the whole numbers 24 and 13 This is adding so that means everything has to be added together. 13+24=37 Now, lets go the fractions.
Find the LCD (Least Common Denominator) of 3/4 and 3/7 and rewrite to solve with the equivalent fractions. (remember the Denominator is the BOTTOM PART of the Fraction. Such as the 4 in 3/4.)
LCD = 28
21/28 + 12/28 = 33/28 which can be simplified to 1 5/28. Combining the whole and fraction parts 37 + 1 + 5/28 = 38 5/28 And that will be your answer. Another way you can do this is
converting mixed numbers to fractions Meaning put them in improper form where the numerator (the top number of a fraction is bigger than the denominator such as 4/3) , our initial equation becomes, 99/4 + 94/7
Applying the fractions formula for addition,
(99×7) + (94×4) / 4×7
= 693+376 / 28 =
= 1069/ 28
Simplifying 1069/28, the answer is
= 38 5/28
And one more thing. An easier way to make a mixed number a improper fraction is the multiply the denominator by the whole number then add the numerator and whatever the denominator is it stays for example
38 5/28.
28 times 38 = 1064 then add the 5 and you get 1069! But we aren't done yet, the denominator was 28 so that means the full answer is 1069/28 and that is the Improper fraction form!
Hope this helps! (sorry I took so long)
~R.C aka dj
There will be excactly 400 fiction books. The ratio of fiction to all is 4 to 9, or 4 to 900.
Answer:
its the the second one not the first one
Answer:
226 cubed foot (rounded to 3 s.f.)
Step-by-step explanation:
Volume of cyclinder: 
× r² × h
Volume of cylindrical tank = × 3² × 8
= 72
= 226 cubed foot (rounded to 3 s.f.)
