Answer:
6(4x-1) is equivalent to 24x-6 and (2*12x)-(2*3)
24x+6 is equivalent to 6(4x+1) and (6*4x)+(6*1)
(4*6x)+(4*2) is equivalent to 24x+8 and 4(6x+2)
Step-by-step explanation:
An equivalent expression is an expression which either simplified or factored is equal to it.
6(4x-1) is equivalent to 24x-6 and (2*12x)-(2*3)
24x+6 is equivalent to 6(4x+1) and (6*4x)+(6*1)
(4*6x)+(4*2) is equivalent to 24x+8 and 4(6x+2)
The problem is modelled in the diagram below
Question 1:
The largest area of the pool is half of the area of the circle
Area of circle = πr², where r is the radius given by 1/2 of the diameter
Area of circle = π(60)² = 11309.73355 feet
Area of half of the circle is 11309.73355/2 = 5654.866... ≈ 5654.87 feet (2dp)
Question b:
The area of the pool is the area of the circle subtracts the area of the triangle.
The area of the circle is 11309.73²
The area of the triangle is 1/2 (60×103.92) = 3117.6 feet²
The area of the pool is 11309.73 - 3117.6 = 7922.13 feet²
The volume of the pool = 7922.13 × 4 = 31688.52 feet³
Note: there isn't any information on the fish tank part so the answer above is assumed for the whole pool.
The answer to the corresponding part is <Y
For this case, what we are going to do first is to assume that all the exams are worth the same percentage of the final grade.
We have then that Lisa's average grade point equation is:

Where,
x: minimum note that lisa must obtain in the last exam.
Clearing x we have:
Answer:
the lowest grade she can get on her last test is:
x = 94