1 answer:
Answer:
Step-by-step explanation:
Nice work with the latex. It is a hard language to use.
Numerator:
take out x(x^2 + 7x + 10)
Factor the contents of the brackets: (x + 2)(x + 5)
Combine x * (x + 2) * (x + 5)
Denominator: Leave at is it is.
Combine
Be very careful with this next step. Cancel the x and the (x + 2) in the top and bottom. You are left with
The reason you have to be so careful is that you have to (or you should) mention that these cancellations can take place only if x ≠ 0 or that (x + 2)≠ 0
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The total number of seats in the theater is 600 seats, if the students filled up 570 seats, which was 95% of the total number of seats in the theater.
Step-by-step explanation:
The given is,
Seats filled by students are 570 seats
Which is 95% of the total number of seats in the theater
Step: 1
Let, x - Total number of seats available in theater
Percentage of seats filled, y= 95%
Seats filled by students = 570
Formula to calculate total number of seats in theater,
95% of seats
570 =
x =
= 600
x = 600 seats
Step: 2
Check for solution,
5% of seats
= (0.05 × 600)
= 30 seats
Total no. of seats = 5% of seats + 95% of seats
= 30 + 570
600 = 600
Result:
The total number of seats in the theater is 600 seats.