Answer:c- sixty nine hundredths
Step-by-step explanation:
three tenths can be expressed in decimal as 3/10
thirty nine hundredths can be expressed in decimal as 39/100
Therefore the sum of three tenths plus thirty nine hundredths equals
3/10 +39/100
We first find the l.c.m of the two fractions equals 100 so we have 100 as the denominator
then 100 divided by 10 multiplied by 3 +100 divided by 100 multiplied by 39 as illustrated below gives the answer
3/10 +39/100
=30+39/100
=69/100= sixty nine hundredths
what is the value of g(x)
Answer:
100 + (5X) = -2X
Step-by-step explanation:
Since the club with an occupancy of 100 will sell out at $ 25 per ticket, and if the owner decides to increase the price by $ 5, then 2 less tickets will be sold, to determine the revenue function if X is the number of $ 5 increases the following calculation must be performed:
100 + (5X) = -2X
So, for example, if the price were increased by $ 15, the equation would apply as follows:
15/5 = 3
100 + (5x3) = -2 x 3
100 + 15 = -6
115 = -6
We know the rules of logarithms:
log a^b = b * log a
log a * b = log a + log b
and we know that : 10^0.5 = 3,166227766
So:
( log (2) 4 + log (2) 3,16227766) / ( log (2) 20 + log (2) 8 ) =
= ( 2 + log (2) 10^(0.5) ) / ( log (2) 2 + log (2) 10 + 3 ) =
= ( 2 + 0.5 log (2) 10 ) / ( 1 + log (2) 10 + 3 ) =
= ( 2 + 0.5 log (2) 10 / ( 4 + log (2) 10 ) =
= ( 2 + 0.5 log (2) 10 ) / 2 * ( 2 + 0.5 log (2) 10 ) = ( cancelling )
= 1 / 2 = 0.5
Answer:
Step-by-step explanation:
![\frac{a^{m}}{a^{n}}=a^{m-n}\\\\a^{m}*a^{n}=a^{m+n}\\\\\frac{125t^{-4}}{5^{-3}}*625*t^{-8}\\\\=\frac{5^{3}t^{-4}}{5^{-3}}*5^{4}*t^{-8}\\\\=5^{3-[-3]+4}*t^{-4-8}\\\\=5^{3+3+4}t^{-12}\\\\=5^{10}t^{-12}\\\\=\frac{5^{10}}{t^{12}}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%5E%7Bm%7D%7D%7Ba%5E%7Bn%7D%7D%3Da%5E%7Bm-n%7D%5C%5C%5C%5Ca%5E%7Bm%7D%2Aa%5E%7Bn%7D%3Da%5E%7Bm%2Bn%7D%5C%5C%5C%5C%5Cfrac%7B125t%5E%7B-4%7D%7D%7B5%5E%7B-3%7D%7D%2A625%2At%5E%7B-8%7D%5C%5C%5C%5C%3D%5Cfrac%7B5%5E%7B3%7Dt%5E%7B-4%7D%7D%7B5%5E%7B-3%7D%7D%2A5%5E%7B4%7D%2At%5E%7B-8%7D%5C%5C%5C%5C%3D5%5E%7B3-%5B-3%5D%2B4%7D%2At%5E%7B-4-8%7D%5C%5C%5C%5C%3D5%5E%7B3%2B3%2B4%7Dt%5E%7B-12%7D%5C%5C%5C%5C%3D5%5E%7B10%7Dt%5E%7B-12%7D%5C%5C%5C%5C%3D%5Cfrac%7B5%5E%7B10%7D%7D%7Bt%5E%7B12%7D%7D)
