To find the perimeter of a rectangle you can multiply the length by 2 and the width by 2, or you can add the four sides together.
The wrong equation is w + 3w = 90 because it only has one width and one length, which would be half the total perimeter.
Question:
A new auditorium is being built for a college. The balcony has 200 seats. The floor has 25 rows with x seats in each row. The number of people in the auditorium must be under 750 to meet safety regulations. What is the solution of this inequality, and what is its meaning?
Answer:
Number of seats in a row must be less than 22
Step-by-step explanation:
Given
Total = Less than 750
Current Seats = 200
Rows = 25
Seat per row = x
Required
Represent as an inequality
The scenario will be represented as:
Substitute 200 for Current Seats
Substitute 25 for Rows
Substitute <750 for Total.
The equation then becomes
Solving further:
This means that:
Number of seats in a row must be less than 22
Answer:
The population is expected to be 5515 animals in 12 years.
Step-by-step explanation:
This problem can be solved by using a compounded interest formula with a negative interest rate, since the number of animals are decreasing. We have:
final population = initial population * (1 - r)^(t)
Where r is rate of decline and t is the time elapsed. Applying the data from the question we have:
final population = 6000*(1 - 0.007)^(12)
final population = 6000*(0.993)^12 = 5514.9582 animals
The population is expected to be 5515 animals in 12 years.
Answer:(6,0)
Step-by-step explanation:
Its the only positive point on the x axis
Answer:
(0,27)
Step-by-step explanation:
x2 + 27 = 0
Solutions based on quadratic formula:
x1
= −0 − √ 02 − 4×1×27
2×1
= 0 − 6 × √ 3 i
2
≈ −5.196152i
x2
= −0 + √ 02 − 4×1×27
2×1
= 0 + 6 × √ 3 i 2
≈ 5.196152i
Extrema:
Min = (0, 27)
