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
9/4 hours
4 hours
4 hours
6 hours
6 hours
12 hours
To find out how long it will take Stacy to paint the entire room, we need to set up a proportion.
Since Stacy is able to paint 34% of the bedroom in 3 hours, we can set up the following proportion:
34/100 = x/3
To solve for x, we cross multiply:
34 * 3 = 100 * x
102 = 100 * x
Now, we can solve for x by dividing both sides of the equation by 100:
x = 102/100
x = 1.02
Therefore, it will take Stacy approximately 1.02 hours to paint the entire room.
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
8/3 hours
6 hours
8 hours
12 hours
To find out the total time it will take Miguel to reach his destination, we need to set up a proportion.
Since Miguel has driven 23% of the total distance in 4 hours, we can set up the following proportion:
23/100 = x/4
To solve for x, we cross multiply:
23 * 4 = 100 * x
92 = 100 * x
Now, we can solve for x by dividing both sides of the equation by 100:
x = 92/100
x = 0.92
Therefore, it will take Miguel approximately 0.92 hours to reach his destination.
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
2/3 hours
1 1/2
1/2 hours
1 hour
To find out how long it will take Iris to complete the entire floor, we need to set up a proportion.
Since Iris has completed 23% of the floor in 13 minutes, we can set up the following proportion:
23/100 = x/13
To solve for x, we cross multiply:
23 * 13 = 100 * x
299 = 100 * x
Now, we can solve for x by dividing both sides of the equation by 100:
x = 299/100
x = 2.99
Therefore, it will take Iris approximately 2.99 hours to complete the entire floor. However, since the time given in the options is not in decimal form, we can round this to the nearest hour, which is 3 hours. Therefore, the answer is 3 hours.
To find out how long it will take Stacy to paint the entire room, we need to determine how long it takes for her to paint one unit of the room. In this case, the given information tells us that she can paint 34 of the bedroom in 3 hours.
To find out how long it takes her to paint one unit, we can divide the time it takes her to paint 34 (3 hours) by the amount she can paint in that time (34). This will give us the time it takes her to paint one unit.
3 hours / 34 = 1/34 of an hour per unit
Now, since the question asks for the time it takes to paint the entire room, we need to find out how many units there are in the entire room. Unfortunately, the question doesn't provide this information, so we cannot give an exact answer. However, we can still simplify the solution.
Let's assume that the entire room is made up of 100 units (this is just a random number for the sake of simplification).
If it takes Stacy 1/34 of an hour to paint one unit, then it will take her 1/34 * 100 = 100/34 = 50/17 hours to paint the entire room.
Simplifying the fraction 50/17, we get 2 and 16/17, which is approximately 2.94.
Therefore, based on the given information, it will take Stacy approximately 2.94 hours to paint the entire room. However, please note that this is an estimate since we assumed the number of units in the room.