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lbvjy [14]
3 years ago
5

Lilly takes a train each day to work that averages 35 miles per hour. On her way home, her train ride follows the same path and

averages 45 miles per hour. If the total trip takes 2.5 hours, which equation can be used to find n, the number of miles Lilly’s home is from her work?
Distance
(mi)
Rate
(mi/hr)
Time
(hr)
Trip to Work
n
35 mph

Trip Home
n
45 mph

StartFraction n Over 35 EndFraction times StartFraction n Over 45 EndFraction = 2.5
StartFraction n Over 35 EndFraction + StartFraction n Over 45 EndFraction = 2.5
35 n + 45 n = 2.5
35 n times 45 n = 2.5
Mathematics
1 answer:
Nutka1998 [239]3 years ago
5 0

Answer: - n/35+n/45=2.5 or just 49.22

Step-by-step explanation:

use the formulas t total=t1+t2 and V=n/t

n=distance, V=speed, and t=time

35=n/t1, and t1=n/35

her train ride follows the same path at 45mph

45=n/t2, and t2=n/45, so then you get - n/35+n/45=2.5

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great rest of Black History Month! :-)  

- Cutiepatutie ☺❀❤

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cluponka [151]

The greatest number of fruit baskets they can make is 2 with each one having 44 peaches, 30 bananas and 27 kiwis

<h3><u>Solution:</u></h3>

Jim’s fruit basket has 88 peaches, 60 bananas and 54 Kiwis to  use.

If each basket have same number of each type, we have to determine the greatest number of fruit baskets they can make  

We need to find greatest common factor of 88, 60 and 54

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.

<em><u>Greatest common factor of 88, 60 and 54:</u></em>

The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 88 are: 1, 2, 4, 8, 11, 22, 44, 88

Then the greatest common factor is 2

On dividing the number of fruits by 2 we get

\begin{array}{l}{\text { Apples in each basket }=\frac{88}{2}=44} \\\\ {\text { Bananas in each basket }=\frac{60}{2}=30} \\\\ {\text { Kiwis in each basket }=\frac{54}{2}=27}\end{array}

Hence, there can be 2 basket with each one having 44 peaches, 30 bananas and 27 kiwis

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