Answers:
What is the ratio? 120:2
What is the unit rate? 60:1
What is the rate? 60 jumping jacks per minute
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Further Explanation:
To find the ratio of jumping jacks to minutes, you just write the two values 120 and 2 separated by a colon. That's how we get 120:2 as our first answer.
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Once we have 120:2, we divide both parts by 2 to get 60:1
120/2 = 60
2/2 = 1
The reason why we do this is so that the "2 minutes" turns into "1 minute". A unit ratio has the time value in unit increments so we can see how many jumping jacks Samuel can do. Writing "60:1" means "60 jumping jacks in 1 minute"
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Saying "60 jumping jacks in 1 minute" is the same as saying "60 jumping jacks per minute", which is similar to a car's speed of something like 60 miles per hour. The unit "X per Y" is the template for speed, where X is the number of items you get done and Y is the unit of time. In this case, X = 60 jumping jacks and Y = 1 minute.
75% I think.
because if you do 560 - 420 you get 140.
140 / 560 x 100 = 25
which means there is a 25% decrease, so they took 75%.
Answer:
th part of the field is covered in the second sprint.
Step-by-step explanation:
A football player is running the length of a 100 yard long football field.
Let player sprints x yards with the speed = 2 yards per second.
So time taken to cover x yards player will take time =
seconds
Now rest distance (100 - x) yards when covered with the speed of 4 yards per second, so time taken to cover this distance = ![\frac{Distance}{Speed}](https://tex.z-dn.net/?f=%5Cfrac%7BDistance%7D%7BSpeed%7D)
=
seconds
Now total time taken by the player can be represented by the equation
![\frac{x}{2}+\frac{100-x}{4}=40](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D%2B%5Cfrac%7B100-x%7D%7B4%7D%3D40)
Now we can solve this equation for the value of x.
![\frac{2x+100-x}{4}=40](https://tex.z-dn.net/?f=%5Cfrac%7B2x%2B100-x%7D%7B4%7D%3D40)
x + 100 = 40×4
x + 100 = 160
x = 160 - 100 = 60 yards
And length of the second part will be = 100 - 60 = 40 yards
Now the fraction of the field covered by the player in second sprint will be
= ![\frac{40}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B40%7D%7B100%7D)
=
or 40%
Therefore,
th part of the field was covered in second sprint.