Answer: should be 4.13
Step-by-step explanation: -12.4 divided by 3 is -4.13333333333 and goes on
Answer:
The student made an error during the distributive property in the second step where they multiplied 0.15 by -0.2 to equal -0.3 when it should have been -0.03.
Step-by-step explanation:
![0.15(y-0.2)=2-0.5(1-y)\\0.15y-0.03=2-0.5+0.5y\\0.15y-0.03=1.5+0.5y\\100(0.15y-0.03)=100(1.5+0.5y)\\15y-3=150+50y\\15y-3-15y-150=150+50y-15y-150\\-153=35y\\-\frac{153}{35}=y](https://tex.z-dn.net/?f=0.15%28y-0.2%29%3D2-0.5%281-y%29%5C%5C0.15y-0.03%3D2-0.5%2B0.5y%5C%5C0.15y-0.03%3D1.5%2B0.5y%5C%5C100%280.15y-0.03%29%3D100%281.5%2B0.5y%29%5C%5C15y-3%3D150%2B50y%5C%5C15y-3-15y-150%3D150%2B50y-15y-150%5C%5C-153%3D35y%5C%5C-%5Cfrac%7B153%7D%7B35%7D%3Dy)
Step-by-step explanation:
remember. the radius is always half the diameter.
volume of a cylinder
pi × r² × height
pi×7.5²×48 = pi×56.25×48 = 8,482.300165... in³
volume of a sphere
4/3 × pi × r³
and that volume should be the same as the cylinder. so,
4/3 × pi × r³ = pi×56.25×48
4/3 × r³ = 56.25 × 48
1/3 × r³ = 56.25 × 12
r³ = 56.25 × 36 = 7.5² × 6² = (7.5×6)² = 45² = 2025
![r = \sqrt[3]{2025}](https://tex.z-dn.net/?f=r%20%3D%20%20%5Csqrt%5B3%5D%7B2025%7D%20)
which would be 12.65148998... in.
Food and Drug Administration.