Okay. so I'm gonna assume you know what factor out means--were gonna take out 5/6. what we need to know is, how does that affect our ending number 2/3? well, we're gonna have 5/6 times some stuff first off, right?
5/6 ( )
so what's in the parenthesis? well, if we distribute in our mind, S would just have to be by itself for it to work out. so we have
5/6 ( s )
but what about 2/3? well, if we're multiplying everything on the inside by 5/6, how can be get it to cancel and leave 2/3 alone? we could divide 2/3 by 5/6, right?
5/6 ( s + (2/3) / (5/6) )
now, when we distribute our 5/6, we'll have just 2/3 at the end. now let's simplify that end term so it looks a little better. if we divide by a fracion, that's the same as multiplying by the flipped version, so let's do that.
2/3 / 5/6 = 2/3 × 6/5 = 2 (6) / 5 (3) = 12/15
we can reduce 12/15 by dividing the top and bottom by three.
= 4/5
so our final answer would be:
5/6 [S + 4/5] you can redistribute to make sure it matches. Anyway, hope that helps!
Answer:
Step-by-step explanation:
From the problem statement, we can setup the following equations:


where
is the current age of Shobos and
is the current age of his mother.
Substituting the first equation into the second will allow us to solve for
:




Substituting this value into the first equation gives us the age of the mother:



Given:


To find:
The quadrant of the terminal side of
and find the value of
.
Solution:
We know that,
In Quadrant I, all trigonometric ratios are positive.
In Quadrant II: Only sin and cosec are positive.
In Quadrant III: Only tan and cot are positive.
In Quadrant IV: Only cos and sec are positive.
It is given that,


Here cos is positive and sine is negative. So,
must be lies in Quadrant IV.
We know that,



It is only negative because
lies in Quadrant IV. So,

After substituting
, we get





Therefore, the correct option is B.
Answer:
A) D + Q = 50
B) .10D + .25Q = 7.10
We multiply A) by -.10
A) -.10D - .10Q = -5 then adding this to B)
B) .10D + .25Q = 7.10
.15Q = 2.10
Quarters = 14 = 3.50
Dimes = 36 = 3.60
Step-by-step explanation:
It shows that six years pasted between 2007 and 2013 and it increased by 20,000 so add that to the population at the time the answer is 158000