The Fernandez family drove 273 miles in 5.25 hours. How far would they have driven at that rate in 4 hours?
A rectangle made of square tiles measures 10 tiles long and 8 tiles wide. What is the width of a similar rectangle whose length is 15 tiles?
While bowling with friends, Brandy rolls a strike in 5 out of 10 frames. What is the experimental probability that Brandy will roll a strike in the first frame of the next game? Enter your answer as a simplified fraction.
Ben is greeting customers at a music store. Of the first 20 people he sees enter the store, 9 are wearing jackets and 11 are not. What is the experimental probability that the next person to enter the store will be wearing a jacket? Enter your answer as a simplified fraction.
The first question asked for a distance. You gave a time. The distance traveled is
(4/5.25) * 273 = 208 miles
What are your answers?
We do not do your homework for you. Although it might take more effort to do the work on your own, you will profit more from your effort. We will be happy to evaluate your work though.
To find the distance the Fernandez family would have driven at the same rate in 4 hours, we can use the formula:
Distance = Rate x Time
Given that the rate is 273 miles divided by 5.25 hours, we need to calculate the rate first:
Rate = 273 miles / 5.25 hours
Simplifying the rate, we have:
Rate = 52 miles per hour (rounded to the nearest mile)
Now, we can use the rate to find the distance traveled in 4 hours:
Distance = 52 miles per hour x 4 hours
Simplifying the calculation, we get:
Distance = 208 miles
Therefore, the Fernandez family would have driven 208 miles at that rate in 4 hours.
-----------------------------
To find the width of a similar rectangle whose length is 15 tiles, we can use the concept of ratios. We know that the first rectangle is 10 tiles long and 8 tiles wide. The ratio of length to width in the first rectangle is 10:8 (or simply 10/8).
Now, if we want to find the width of the similar rectangle with a length of 15 tiles, we can set up a proportion:
(Length of first rectangle / Width of first rectangle) = (Length of second rectangle / Width of second rectangle)
Substituting the values, we have:
(10 tiles / 8 tiles) = (15 tiles / Width of second rectangle)
Simplifying the equation further, we get:
10/8 = 15/Width of second rectangle
Cross-multiplying, we have:
10 x Width of second rectangle = 15 x 8
Dividing both sides of the equation by 10, we find:
Width of second rectangle = (15 x 8) / 10
Simplifying the calculation, we get:
Width of second rectangle = 12
Therefore, the width of the similar rectangle whose length is 15 tiles is 12 tiles.
-----------------------------
To find the experimental probability that Brandy will roll a strike in the first frame of the next game, we need to know the number of times Brandy rolls a strike and the total number of frames played.
Given that Brandy rolls a strike in 5 out of 10 frames, we can write this as a fraction:
Probability = (Number of successful outcomes / Total number of possible outcomes)
Substituting the values, we have:
Probability = 5 / 10
Simplifying the fraction by dividing both the numerator and denominator by 5, we get:
Probability = 1 / 2
Therefore, the experimental probability that Brandy will roll a strike in the first frame of the next game is 1/2.
-----------------------------
To find the experimental probability that the next person to enter the store will be wearing a jacket, we need to know the number of people wearing jackets and the total number of people observed.
Given that, out of the first 20 people Ben sees entering the store, 9 are wearing jackets, we can write this as a fraction:
Probability = (Number of successful outcomes / Total number of possible outcomes)
Substituting the values, we have:
Probability = 9 / 20
Since the fraction is already simplified, the experimental probability that the next person to enter the store will be wearing a jacket is 9/20.