So we are trying to solve for x so in order to do that we need to get x by itself on one side of the equal sign
first we are going to combine like terms on each side of the equal side
so on the left side we see 4+9 these are booth whole numbers not attached to a variable so we can simplify this by adding these two values together making our equation: x/13 = 12
our x is still not by itself so in order to get it by itself we need to get rid of that 13
we need that x is being divided by 13 so in order to get rid a divided value we have to do the opposite to both sides - multiply by 13 on each side!
x/13 x 13 = x
12 x 13 = 156
so our equation is now:
x = 156
is our x by itself on one side of the equal sign? yes! so our x value is 156
If you do the proportion, you have to put 1/5 = 20/100. The 20 represents the percentage. Then you have to say to yourself that how many time 5 goes to 100, well its x20 then if we multiply 1 x 20 we'll get 20. So, he is correct, 1/5 = 20%. Remember what number we think of when we hear the word percent, the number is 100.
Answer:
30units,2900
Step-by-step explanation:
Given that Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day.
The price function is p(x) = 700 − 5x, where p is the price (in dollars) at which exactly x motorbikes will be sold.
If x units are produced and sold we have
Costs for x units = variable costs *x +Fixed costs 
Sales revenue = no of units sold * price = 
Profit funciton = P(x) = Sales revenue - Total cost
= 
To get maximum profit we use derivative test I derivative =0 and II derivative =negative
Producing 30 units will maximize the profit.
Max profit
=P(30) = 2900
we know that, denominator ≠ 0
16y² ≠ 0
y ≠ 0 is excluded value.
Answer:
x = 12
Step-by-step explanation:
First you figure out which function your going to use. I notice that from the angle we have 5 which is the opposite side and 23 which is the adjacent side. This means we have to use tangent.
Then set up your equation: tan(x)=5/23. This is because the opposite side is 5 and the adjacent is 23 and it must be set up in that order.
Next get x alone by making the equation: x=tan^-1(5/23).
Then put it into the calculator and round to get 12.
