Answer:
200
Step-by-step explanation:
150/3=50 so she sorts 50 items per minute, then 50*4=200
An identity, in mathematics, is a relation between A and B that would result to an equality of the two. It should be expressed as A = B wherein both values has some variables that would produce the same value no matter what will be the values used for the two functions. We are given the equation as follows:
a(2x+3)=9x+15+x
To determine the value of a that would make this equation an identity, we assume a value for x. We can assume a value of 1. We do as follows:
a(2 + 3) = 9 + 15 +1
5a = 25
a = 5
Therefore, the value of a would be 5.
Answer:
Practical domain:
Roger can earn $510 at most.
Step-by-step explanation:
We are given the function
Which gives the earnings of Roger when he sells v videos. Since the play’s audience consists of 230 people and each one buys no more than one video, v can take values from 0 to 230, i.e.
That is the practical domain of E(v)
If Roger is in bad luck and nobody is willing to purchase a video, v=0
If Roger is in a perfectly lucky night and every person from the audience wants to purchase a video, then v=230. It's the practical upper limit since each person can only purchase 1 video
In the above-mentioned case, where v=230, then
Roger can earn $510 at most.
Answer:
35
Step-by-step explanation:
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<em>*The word pentagon is a name given to a polygon that has 5 sides. So in this case, the question should have used the word polygon instead of pentagon.</em>
Sum of interior angles = (n - 2) x 180 where n is the number of sides.
The sum of the interior angles = 900
(n - 2) x 180 = 900
n - 2 = 900 ÷ 180
n - 2 = 5
n = 5 + 2
n = 7
Answer: This is a 7-sided polygon.