Hallo! HELP!!! I have a problem… here it is!
Write the ratio as a unit rate.
286 miles in 5 1/2 hours.
ALSO I need a little help with dis too.
Which typing time is the fastest?
320 words in 8 minutes
600 words in 12 minutes
350 words in 10 minutes
225 words in 5 minutes
How do you solve this?
How do you check?
Some people say you divide. Why?
286 miles in 5 1/2 hours
= 286mi / 5.5hr = 286/5.5 mi/hr
For your second question, yes, you divide to find the fastest typing time.
320 divided by 8
600 divided by 12
etc.
What about the first question?
A math tutor may correct me, but I think the first thing to do is get rid of the fraction and express that number in a decimal format. What does 5 1/2 equal in decimals?
I think you should find out a number that 5, 8, 10, and 12 have a multiple of like I think 60 and find out words in 60 minutes
_____________________________
225 words- 5 minutes
450 words- 10 minutes
900 words- 20 minutes
2,700 words- 60 minutes
Hello! I can help you with those questions.
To write the ratio as a unit rate, you need to divide the given quantity by the number of units. Let's take a look at the first problem:
286 miles in 5 1/2 hours.
To find the unit rate, we divide the number of miles by the number of hours. First, we need to convert 5 1/2 hours to a decimal. To do that, we multiply the whole number (5) by the denominator of the fraction (2), which gives us 10. Then we add the numerator (1) to get 11. So, 5 1/2 hours is equal to 5.5 hours.
Now we can divide 286 miles by 5.5 hours:
286 miles / 5.5 hours = 52 miles per hour.
Therefore, the unit rate is 52 miles per hour.
Moving on to the second question about typing time, we need to compare the typing speeds given in words per minute to determine which one is the fastest.
Let's look at the options:
1) 320 words in 8 minutes.
2) 600 words in 12 minutes.
3) 350 words in 10 minutes.
4) 225 words in 5 minutes.
To compare these rates, we can calculate the unit rate for each option by dividing the number of words by the number of minutes. Let's go through each one:
1) 320 words / 8 minutes = 40 words per minute.
2) 600 words / 12 minutes = 50 words per minute.
3) 350 words / 10 minutes = 35 words per minute.
4) 225 words / 5 minutes = 45 words per minute.
By comparing the unit rates, we can see that option 2) "600 words in 12 minutes" has the fastest typing speed at 50 words per minute.
To check if the calculations are correct, you can also multiply each unit rate by its respective time to see if the original quantity is obtained. For example, in the first problem, you could multiply 52 miles per hour by 5.5 hours to check if it gives you 286 miles.
Some people suggest dividing because it allows us to find the value per unit, which is useful when trying to compare quantities or determine a specific rate. Dividing helps us convert the given ratio into a unit rate that represents the relationship between the quantities in terms of one unit.
I hope this explanation helps! Let me know if you have any more questions.