The sides of the frame are (12+2x) and (6+2x).
Its area A is 112.
Therefore by equating:
(12+2x)*(6+2x)=112
you can get the answer for x. You will obtain a quadratic equation you have to solve.
Set up two equations:
1st: P (for Price family) + J (for Jenkins family) = 45 hours
2nd: 20P + 35J = 1200 liters
Rewrite the first equation as P = 45 – J
Replace P in the second equation:
20(45-J) + 35J = 1200
Simplify:
900 -20J + 35J = 1200
900 +15J = 1200
Subtract 900 from both sides:
15J = 300
Divide both sides by 15:
J = 300/15
J = 20
Jenkins used theirs for 20 hours
Price used theirs for 45-20 = 25 hours.
E-Z View: 40 + 4.95x
View the best: 25 + 5.95x
Equal monthly bills:
40 + 4.95x = 25 + 5.95x
5.95x - 4.95x = 40 - 25
x = 15
Answer: 15
I believe the answer is “A”
Answer:
Amount required = 2,217,600
Step-by-step explanation:
Dimensions of the rooms are as follows;
Room 1; 9 feet × 12 feet
Room 2; 14 ft × 16 ft
Room 3; 12 ft × 14 ft
Perimeter of rooms;
P1 = 2(9 + 12) = 42 ft
P2 = 2(14 + 16) = 60 ft
P3 = 2(12 + 14) = 52 ft
Total perimeter; P = 42 + 60 + 52 = 154 ft
Height is 90 ft.
Thus, total area is;
A = 154 × 90
A = 13860 ft²
Rate of painting is 160 per Sq.ft.
Thus amount to paint entire area = 160 × 13860 = 2217600
