Pakitulong Po Tito salamat in advance
1. The floor area of a living room is 9 5/2 m². A carpet with an area of 5 7/8 m² is placed on the floor. Find the floor area of the room that is not covered with carpet.
2. I poured 3 7/8 L of oil and 4 1/2 L of water into an empty tin. What is the volume of the mixture in the tin now?
3. A driver took 5 1/4 h to travel from place A to B. He took 5/12 h less to travel from place B to C. How long did he take to travel from place A to C
1. The floor area of a living room is 9 5/2 m². A carpet with an area of 5 7/8 m² is placed on the floor. Find the floor area of the room that is not covered with carpet.
2. I poured 3 7/8 L of oil and 4 1/2 L of water into an empty tin. What is the volume of the mixture in the tin now?
3. A driver took 5 1/4 h to travel from place A to B. He took 5/12 h less to travel from place B to C. How long did he take to travel from place A to C
Answers & Comments
Answer:
1.) The area is 1 5/8 [tex]m^{2}[/tex]
2.) The volume of the mixture is 8 3/8 L
3.) It took him 10 1/12 hours
Step-by-step explanation:
1.) Floor area of the room not covered in carpet = total floor area - carpeted area
x = [tex]9\frac{5}{2}[/tex] -[tex]5\frac{7}{8}[/tex]
(find the LCD or least common denominator, which in this case is 8 [8 is the least common multiple of 2 and 8])
(convert to similar fractions)
x = [tex]9\frac{20}{8} -9\frac{7}{8}[/tex]
x = [tex]\frac{13}{8}[/tex]
(convert to proper fraction)
x = 1 5/8
2.) volume of mixture = volume of oil + volume of water
x = 3 7/8 + 4 1/2
(find the LCD or least common denominator, which in this case is 8 [8 is the least common multiple of 2 and 8])
(convert to similar fractions)
x = 3 7/8 + 4 4/8
x = 7 11/8
(convert to proper fraction)
x = 8 3/8
3.) total distance traveled = distance from place A to B + distance from place B to C
[but distrance from place B to C = "distance from place A to B" - 5/12)
(substitute)
total distance traveled = distance from place A to B + ("distance from place A to B" - 5/12)
x = 5 1/4 + (5 1/4 - 5/12)
x = 5 1/4 + 5 1/4 - 5/12
(find the LCD or least common denominator, which in this case is 12 [12 is the least common multiple of 4 and 12])
(convert to similar fractions)
x = 5 3/12 + 5 3/12 - 5/12
x = 10 6/12 - 5/12
x = 10 1/12
hope this helps, please correct me if I'm wrong