Answer:
![\displaystyle V = \frac{lwh}{3} \rightarrow h = \frac{3V}{lw}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%20%5Cfrac%7Blwh%7D%7B3%7D%20%5Crightarrow%20h%20%3D%20%5Cfrac%7B3V%7D%7Blw%7D)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<em />
<em />
<em />
<u>Step 2: Solve for </u><em><u>h</u></em>
- [Multiplication Property of Equality] Multiply 3 on both sides:
![\displaystyle V = \frac{lwh}{3} \rightarro 3V = lwh](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%20%5Cfrac%7Blwh%7D%7B3%7D%20%5Crightarro%203V%20%3D%20lwh)
- [Division Property of Equality] Divide lw on both sides:
![\displaystyle V = \frac{lwh}{3} \rightarrow h = \frac{3V}{lw}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%20%5Cfrac%7Blwh%7D%7B3%7D%20%5Crightarrow%20h%20%3D%20%5Cfrac%7B3V%7D%7Blw%7D)
Answer:
The divided by for times n minus a half equals four times n plus three
A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 3 weeks, the sheet is only 1.25 meters thick. Let y represent the ice sheet's thickness ( in meters) after x weeks. Complete the equation for the relationship between the thickness and number of weeks.
Answer:
y = 2 - 0.25x
Step-by-step explanation:
From the question, the initial thickness of the ice sheet = 2 meters,
After 3 weeks, the thickness of ice sheet reduced to 1.25 meters
Hence, the difference in the thickness in 3 weeks is calculated as:
2m - 1.25m = 0.75m
The amount of changes that occurred in 3 weeks is given as:
= 0.75/3 = 0.25 meters,
We are told that, the ice is melting with the constant rate.
Therefore, the equation for the relationship between the thickness and number of weeks is given as:
y = 2 - 0.25x
Well, the greatest common factor of both 24, and 60 is 12. 24 ÷ 12 =2, while 60 ÷ 12 is 5, so the new fraction is 2/5.
The reason I divided the numerator and the denominator by the same number is because you are basically dividing by 1(12/12=1). Anything divided by 1 is itself.