The equation (form) is: ![\frac{2}{3}x + 4 = 7](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7Dx%20%2B%204%20%3D%207)
The solution of the equation is: ![x = \frac{9}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B9%7D%7B2%7D%20)
Explanation:
First, let's call the number we are going to solve for "x".
Then two thirds of this number can be written as:
![\frac{2}{3}x](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7Dx%20)
Then "plus 4" means add 4 we get:
![\frac{2}{3}x + 4](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7Dx%20%2B%204)
"is 7" means that the above expression is equal to 7 (as follows):
![\frac{2}{3}x + 4 = 7](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7Dx%20%2B%204%20%3D%207)
The solution of the above equation is:
![\frac{2}{3}x + 4 = 7 \\ \frac{2}{3}x = 3 \\ x = \frac{9}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7Dx%20%2B%204%20%3D%207%20%5C%5C%20%5Cfrac%7B2%7D%7B3%7Dx%20%3D%203%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B9%7D%7B2%7D%20)
Answer:
![x=3](https://tex.z-dn.net/?f=x%3D3)
Step-by-step explanation:
Given: ![15=7x-6](https://tex.z-dn.net/?f=15%3D7x-6)
To solve this equation, we need to isolate
on one side of the equation algebraically. I see that we have like terms, but they are on opposite sides of the equal sign. Let's add
to both sides.
![21=7x](https://tex.z-dn.net/?f=21%3D7x)
To isolate x, divide both sides by 7.
![x=3](https://tex.z-dn.net/?f=x%3D3)
Answer:
Step-by-step explanation:
The measure of the floor of the rectangular room that is 12 feet by 15 feet. The formula for determining the area of a rectangle is expressed as
Area = length × width
Area of the rectangular room would be
12 × 15 = 180 feet²
The tiles are square with side lengths 1 1/3 feet. Converting 1 1/3 feet to improper fraction, it becomes 4/3 feet
Area if each tile is
4/3 × 4/3 = 16/9 ft²
The number of tiles needed to cover the entire floor is
180/(16/9) = 180 × 9/16
= 101.25
102 tiles would be needed because the tiles must be whole numbers.