Answer:
The length of a side can be 3·√42 ft long
Step-by-step explanation:
The question is a word problem regarding the formula for the area of a square
The parameters given are;
Available concrete = Enough to pave 378 ft.²
Shape of patio Vince wants to make = Square
Therefore, the dimensions of the sides, s, of a square patio that has an area of 378 ft.² is found as follows;
s² = 378
Therefore, s = √378 = √(9 × 42) = 3·√42 ft
Hence, the length of a side can be 3·√42 ft long.
Answer:
35 percent
Step-by-step explanation:
1050 / 3000 as a percent
1050 / 3000 = 105 / 300
Divide both sides by 3:
300 / 3 = 100
105 / 3 = 35
35 / 100 = 35 percent
Answer:
2x^2 - 16x + 30
Step-by-step explanation:
Here, we want to get the composite function;
p•q(x)
All we have to do here is to replace the x value in p(x) by the totality of q(x)
we have this as ;
= 2(x-3)^2 - 4(x-3)
= 2(x^2 -6x + 9) - 4(x-3)
= 2x^2 -12x + 18 -4x + 12
= 2x^2 - 16x + 30
<em>Missing Information:</em>
<em>It takes Mr. Hamilton 1/15 of an hour to grade one student’s exam and 1/30 of an hour to grade one student’s quiz.</em>
Answer:

Step-by-step explanation:
Given


Required
Determine the time spent on x students
First, we need to determine the total time spent on 1 student


Take LCM



Next is to determine the total time on x students:

