Stacy is painting her bedroom. She is able to paint 34 of the bedroom in 3 hours. At this rate, how long will it take her to paint the entire room?(1 point)
Responses
94 hours
Start Fraction 9 over 4 End Fraction hours
6 hours
6 hours
12 hours
12 hours
4 hours
The answer is:
94 hours
Miguel is returning from a trip. In 4 hours, he has driven 23 of the total distance. He wants to know how long the total drive will take. At this rate, what is the total time it will take him to reach his destination?(1 point)
Responses
6 hours
6 hours
8 hours
8 hours
83 hours
Start Fraction 8 over 3 End Fraction hours
12 hours
The answer is:
Start Fraction 8 over 3 End Fraction hours or 2 hours and 40 minutes
Iris is asked to sweep the gymnasium floor after a basketball game. This requires her to push a sweeper from one end of the gym to the other and repeating the pattern until she has covered the entire floor. She completes 23 of the floor in 13 of an hour. At this rate, how long will it take her to complete the entire floor?(1 point)
Responses
112
1 Start Fraction 1 over 2 End Fraction
1 hour
1 hour
23 hours
Start Fraction 2 over 3 End Fraction hours
12 hours
The answer is:
1 Start Fraction 1 over 2 End Fraction hours or 1 hour and 30 minutes.
To find out how long it will take Stacy to paint the entire room, we can set up a proportion.
We know that Stacy was able to paint 3/4 of the room in 3 hours. Let "x" be the number of hours it will take to paint the entire room.
So, the proportion is:
(3 hours) / (3/4 of the room) = (x hours) / (1 full room)
To solve for x, we can cross-multiply:
3 * 1 full room = (x hours) * (3/4 of the room)
3 = (3x/4)
To isolate x, we can multiply both sides by 4/3:
(3 * 4/3) = (x * 3/4)
4 = (x * 3/4)
Now, we can solve for x by dividing both sides by 3/4:
(4 * 4) /3 = (x * 3/4) / (3/4)
16/3 = (x * 3/4) / (1)
Simplifying the right side:
16/3 = (x * 3) / 4
Now, we can multiply both sides by 4/3 to solve for x:
(16/3) * (4/3) = (x * 3) / 4 * (4/3)
64/9 = (x * 3)
To solve for x, we can divide both sides by 3:
(64/9) / 3 = (x * 3) / 3
64/27 = x
So, it will take Stacy 64/27 hours to paint the entire room.
The simplified answer is:
Start Fraction 9 over 4 End Fraction hours
To find out how long it will take Stacy to paint the entire room, we can use the concept of rates and proportions.
We know that Stacy is able to paint 34 of the bedroom in 3 hours. This means that in 1 hour, she can paint 34 divided by 3, which is 11.33... (approximately) of the bedroom.
Now, to find out how long it will take her to paint the entire room (which is equivalent to 100% of the bedroom), we can set up a proportion.
Let x represent the number of hours it will take Stacy to paint the entire room.
We can set up the proportion:
1 hour / 11.33... = x hours / 100
To solve for x, we can cross-multiply and solve for x:
1 hour * 100 = x hours * 11.33...
100 = 11.33x
Divide both sides by 11.33:
100 / 11.33 = x
8.81... (approximately) = x
So, it will take Stacy approximately 8.81... hours to paint the entire room. Since we cannot have a fraction of an hour, we need to round up to the nearest whole number.
Therefore, it will take Stacy approximately 9 hours to paint the entire room.
The correct answer is "9 hours."