Answer: -5x-8y=-5
Step-by-step explanation:
add right sides of equation and even them with result of adding right sides of equation
4x-4y-9x-4y=-2-3
-5x-8y=-5
Since he has an annual salary, the salary stays the same, making it the y intercept.
As for 250, it goes to every car he sells, making it the slope
S = y + mc (y = y intercept, m = slope)
Plug in the values to see
Solution: A. 45,000 + 250C
Each room would be 1 hour because it say that two rooms get painted in two hours <span />
The formula for the volume of a cylinder is V=πr²h. Substituting the information we have, we get 1470=(3.14)(6²)<span>h
</span>1470=113.04h
Divide both sides by 113.04:
1470/113.04 = 113.04h/113.04
13 ≈ h
The height of the cylinder is 13 inches. We know that the height of the cone is 1/2 the height of the cylinder; 1/2(13) = 6.5 inches. The formula for the volume of a cone is:
V=1/3πr²h
The cone and the cylinder have the same radius, and we now know that the height of the cone is 6.5. Substituting this information in we have:
V=1/3(3.14)(6²)(6.5) = 244.92 in³
The total volume of the cake would be the volume of the cylinder added to the volume of the cone:
1470+244.92 = 1714.92 in³.
The formula for the volume of a sphere, for the ball cake, is
<em /><em>V</em>=4/3πr³. Using the radius of 3 we have:
<span><em>V</em>=4/3(3.14)(3</span>³)=113.04 for the volume of the circus ball cake.
The formula for the area of the cone-shaped hat cake is <em>V</em>=1/3π<em>r</em>²<em>h</em>. We want it to have the same volume as the circus ball cake, and we know the radius is still 3:
<em />113.04=1/3(3.14)(3²)<em>h</em>
This simplifies to
113.04=9.42<em>h</em>
Divide both sides by 9.42:
113.04/9.42 = 9.42<em>h</em>/9.42
The hat cake would have to have a height of 12 inches to have the same volume.
