So with this, we will be using proportions. To solve for x, our proportion will be 
Firstly, cross-multiply: 
Next, subtract 36 on both sides: 
Next, replace -9x with 3x-12x 
Next, factor x^2+3x and -12x-36 separately:
. After, rewrite it as 
Next, solve for x separately in the two parentheses:


Since we can't have a negative length, x = 12.
To solve for y, our proportion will be 
Firstly, cross-multiply: 
Next, just square root each side, and your answer will be (rounded to hundredths) 
In short, x = 12 and y = 10.39.
Let the number of seats in section A be x, that of section B y and that of secyion C z. Then
x + y + z = 52000 . . . (1)
x = y + z . . . (2)
42x + 36y + 30z = 1960200 . . . (3)
Putting (2) into (1), gives
2x = 52000
x = 52000/2 = 26000
From (2) and (3), we have
y + z = 26000 . . . (4)
42(26000) + 36y + 30z = 1960200
36y + 30z = 1960200 - 1092000
36y + 30z = 868200 . . . (5)
(4) * 30 => 30y + 30z = 780000 . . . (6)
(5) - (6) => 6y = 88200
y = 88200/6 = 14700
From (4), z = 26000 - 14700 = 11300
Therefore, there are 26,000 seats in section A, 14,700 seats in section B and 11,300 seats in section C.
Answer:
Time taken for cover 1 miles = 0.16 hour (Approx.)
Step-by-step explanation:
Given:
Total distance cover by Duncan = 26.2 miles
Time taken by Duncan = 4 hours 10 minutes
Find:
Time taken for cover 1 miles
Computation:
Time taken by Duncan = 4 hours 10 minutes
Time taken by Duncan = 4 + 0.167 hour
Time taken by Duncan = 4.167 hour
Speed = Distance / Time
Speed = 26.2 / 4.167
Speed = 6.28 miles/hour (Approx.)
So,
Time taken for cover 1 miles = 1/6.28
Time taken for cover 1 miles = 0.16 hour (Approx.)
Let the number be n. Then 3n = 34.5, and n = 34.5/3 = 11.5.
Half of this is 5.75, or 5 3/4.