The answer for number 7 is x=3
Answer:
![\large\boxed{\dfrac{10x^6y^3+20x^3y^2}{5x^3y}=2x^3y^2+4y}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cdfrac%7B10x%5E6y%5E3%2B20x%5E3y%5E2%7D%7B5x%5E3y%7D%3D2x%5E3y%5E2%2B4y%7D)
Step-by-step explanation:
![\dfrac{10x^6y^3+20x^3y^2}{5x^3y}=\dfrac{(5x^3y)(2x^3y^2)+(5x^3y)(4y)}{5x^3y}\\\\=\dfrac{5x^3y(2x^3y^2+4y)}{5x^3y}\qquad\text{cancel}\ 5x^3y\\\\=2x^3y^2+4y](https://tex.z-dn.net/?f=%5Cdfrac%7B10x%5E6y%5E3%2B20x%5E3y%5E2%7D%7B5x%5E3y%7D%3D%5Cdfrac%7B%285x%5E3y%29%282x%5E3y%5E2%29%2B%285x%5E3y%29%284y%29%7D%7B5x%5E3y%7D%5C%5C%5C%5C%3D%5Cdfrac%7B5x%5E3y%282x%5E3y%5E2%2B4y%29%7D%7B5x%5E3y%7D%5Cqquad%5Ctext%7Bcancel%7D%5C%205x%5E3y%5C%5C%5C%5C%3D2x%5E3y%5E2%2B4y)
1920÷12= 160
Step-by-step explanation:
1920÷12= 160
Answer:
The y-intercept is ![b=0](https://tex.z-dn.net/?f=b%3D0)
The y-intercept represents the initial quantity of gas in the canister which is zero.
Step-by-step explanation:
The y-intercept is where the graph of the straight line touches the y-axis.
From the graph, the y-intercept is the origin (0,0).
Recall that the slope intercept form of a straight line is
, where
is the y-intercept in this case.
Since the graph represents the amount of gasoline in a canister after Joshua begins to fill it at the gas station pump, the y-intercept means the initial gallons of gas in the canister is zero.
<span>The answer is 7 ft. The bathroom has rectangular shape. The area (A) of a rectangle is the product of the width (w) and length (l): A = w * h. The bathroom is rectangular. We know that A = 91 ft^2 and l = 13 ft. Let's substitute them in the formula for the area: 91 ft^2 = w * 13 ft. w = 91 ft^2 : 13 ft. w = 7 ft. The width of the bathroom is 7 ft.Hope this helps. Let me know if you need additional help!</span>