Answer:
6x + 200 = 17,000
Step-by-step explanation:
Lower level = 4x - 300
Mid level = 2x + 500
Combine the two equations to find the number of seats in the upper level
(2x + 500) × (4x - 300) = 17,000
Combine like terms
4x × 2x + 500 - 300 = 17,000
<em>6x + 200 = 17,000</em>
Answer: You have 1/3 possibility of grabbing 2 red balls.
Step-by-step explanation:
Break it down into 2-Dimensional shapes. Then add the areas together.
From the picture you can see;
front & back rectangles are 2*(4 x 8) = 64 m²
2 side rectangles are 2*(4 x 12) = 56 m²
2 triangular front & back pieces are (1/2)*8*3 = 12 m²
2 roof rectangles are 2*(5 x 12) = 120 m²
total Surface area = 64 m² + 56 m² + 12 m² + 120 m²
= 252 m²
For the volume; break it up into 3-dimenssional shapes and add the volumes together.
From the picture you can see;
Rectangular box volume is 4 x 8 x 12 = 384 m³
Triangular roof volume is area of front triangle multiplied through the length. (1/2)*8*3* 12 = 144 m³
Total volume = 384 m³ + 144 m³
= 528 m³
remember that
![x^{\frac{a}{b}}=\sqrt[b]{x^a}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7Ba%7D%7Bb%7D%7D%3D%5Csqrt%5Bb%5D%7Bx%5Ea%7D)
also 
and 
so
first one, that one is clearly not equal since 0.25≠4
2nd one, 0.25=1/4, so 
, which matches
3rd one, ![\sqrt[3]{16}=\sqrt[3]{4^2}=4^{\frac{3}{2}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B16%7D%3D%5Csqrt%5B3%5D%7B4%5E2%7D%3D4%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D)
, which matches
4th one ![(\sqrt[3]{4})^2=(4^{\frac{1}{3}})^2=4^{\frac{2}{3}}](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B4%7D%29%5E2%3D%284%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%29%5E2%3D4%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D)
which matches
answer is 
