Answer:
![R=5N+7](https://tex.z-dn.net/?f=R%3D5N%2B7)
![\displaystyle N=\frac{R-7}{5}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20N%3D%5Cfrac%7BR-7%7D%7B5%7D)
Step-by-step explanation:
<u>Equations
</u>
The relation between the number thought by Ann (N) and the final result (R) can be expressed as
![R=5N+7](https://tex.z-dn.net/?f=R%3D5N%2B7)
So if for example, Ann thought in the number N=12, then
![R=5\times 12+7=67](https://tex.z-dn.net/?f=R%3D5%5Ctimes%2012%2B7%3D67)
If we know the value of R, it's easy to find back the value of N by solving the equation
![R=5N+7](https://tex.z-dn.net/?f=R%3D5N%2B7)
subtracting 7 on each side
![R-7=5N](https://tex.z-dn.net/?f=R-7%3D5N)
Dividing by 5
![\displaystyle N=\frac{R-7}{5}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20N%3D%5Cfrac%7BR-7%7D%7B5%7D)
So, if Ann tells Jim that R = 52, he can guess her number is
![\displaystyle N=\frac{52-7}{5}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20N%3D%5Cfrac%7B52-7%7D%7B5%7D)
![N=9](https://tex.z-dn.net/?f=N%3D9)
Answer:
A
Step-by-step explanation:
In order for the length of the pieces to be as great as possible, the number of pieces must be as small as possible. Jason can't keep the rope in one piece, that doesn't count as cutting the rope into pieces because he hasn't cut the rope. If there were 2 equal pieces, each piece would be 60 / 2 = 30 feet, and since 30 is an integer, the answer is 2.
It takes 7.5 cups of milk to make 1 stick of butter.
Step-by-step explanation:
Given,
Cups of milk used = 30 cups
Sticks of butter made = 4
Unit rate describes how many units of one quantity corresponds to 1 unit of other quantity.
We will find unit rate per butter stick.
Unit rate per butter stick = ![\frac{cups\ of\ milk\ used}{No.\ of\ butter\ sticks}](https://tex.z-dn.net/?f=%5Cfrac%7Bcups%5C%20of%5C%20milk%5C%20used%7D%7BNo.%5C%20of%5C%20butter%5C%20sticks%7D)
Unit rate per butter stick = ![\frac{30}{4} = 7.5\ cups\ of\ milk\ per\ butter\ stick](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B4%7D%20%3D%207.5%5C%20cups%5C%20of%5C%20milk%5C%20per%5C%20butter%5C%20stick)
It takes 7.5 cups of milk to make 1 stick of butter.
Keywords: unit rate, division
Learn more about unit rates at:
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