Elsa's answer is incorrect since there is a solution of the given equation. In the given logarithmic problem, we need to simplify the problem by transposing log2(3x+5) in the opposite side. The equation will now be log2x-log2(3x+5)=4. Using properties of logarithm, we further simplify the problem into a new form log (2x/6x+10)=4. Then transform the equation into base form 10^4=(2x/6x+10) and proceed in solving for x value which is equal to 1.667.
In 1980, there were 67 new productions on Broadway. In 1987, there were 31 new productions on Broadway. Find the average rate of change in the number of new productions.
Answer:
25
Step-by-step explanation:
We need to set up a system of equations, then solve for the number of board markers.
Let r represent red pens, let b represent board markers.
She has 41 items, so our first equation is r+b=41.
The total cost is $46.30, so our second equation is .55r+1.5b=46.3.
r+b=41
.55r+1.5b=46.3
Let's use substitution.
r+b=41
r=41-b
.55r+1.5b=46.3
.55(41-b)+1.5b=46.3
22.55-.55b+1.5b=46.3
22.55+.95b=46.3
.95b=23.75
b=25
He bought 25 board markers.
22' is 22 minutes
there are 60 minutes in 1 degree, how many in 22? well, the short answer is you divide it by 60, or 22/60 0.37 or thereabouts, so that makes it
121.037 degrees and 36''
36'' is 36 seconds, there are 60 seconds in 1 minute, so in short, just divide it by 60 as well, so 36/60 or 0.6 minutes
so, let us revise above some
121 degrees 22' and 36''
22' and 36'' is 22.6' because 36'' is 0.6'
how much is 22.6' in degrees? well 22.6/60
or about .38
so. 121° 22' 36'' will be 121.38° approximately
