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Xelga [282]
3 years ago
5

Unit rate for 490 in 3 1/2 hour

Mathematics
2 answers:
masha68 [24]3 years ago
8 0
Unit rate is no. i.e 490 divided by time i.e (3 1/2 hr or 3.5 hr).
ans. is (490/3.5) = 140.
k0ka [10]3 years ago
3 0
490 / 3.5 = 140 per hr
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Tracy had a bag of candies, and none of the candies could be broken into pieces. She ate $\frac{1}{3}$ of them and then gave $\f
Ymorist [56]

Answer:

72

Step-by-step explanation:

Let the number of candies = n

Tracy ate = 1/3 of n = n/3 remaining 2n / 3

she gave 1/4 of the remainder to her friend = 1/4 of ( n - n/3) = 2n / 12

the new remainder = (2n / 3) - (2n / 12) = n /2

she and her mom then ate altogether = 30

and the brother took from 1 to five, the number he took = x

and she has 3 left

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n = 2 ( 33 + x)

now we know that the candies could not be broken  and x is between 1 to 5

n = 2 (33 + 1), 2 (33+2), 2(33 +3), 2 (33+ 4) and 2 (33 + 5) this are the possible values of n, ( 68, 70, 72, 74, 76) and the multiple of 3 is 72

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7 0
3 years ago
Samuel can do 120 jumping jacks in two minutes.
ki77a [65]

Answers:

What is the ratio?         120:2

What is the unit rate?   60:1

What is the rate?          60 jumping jacks per minute

===================================================

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.

--------

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"

-------

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.

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