Answer:
C.

.
Step-by-step explanation:
Let r represent the cost of one packet of radish seeds and let t represent the cost of one packet of tomato seeds.
Roman spent $62.75
This implies that,

Roman bought 32 packets of seeds and one packet of radish seeds costs
$ 1.75.
One packet of tomato seeds costs $ 2.50.
This implies that,

Using guess and check means we substitute into the given equation.
A) We substitute

into both equations.



Both equations are not satisfied.
B)
We substitute

into both equations.



Both equations are not satisfied.
C)
We substitute

into both equations.



Both equations are satisfied.
Hence the solution is,

D) We substitute

into both equations.



Both equations are not satisfied.
Answer: The volume is 288π .
Step-by-step explanation:
V= 4/3 *n*r^3
V = 4/3*n * 6^3
v=4/3 *n * 216
v= 288n
You cannot simplify 30/q anymore
Answer:
6.51 cm
Step-by-step explanation:
Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.
Since V = V',
4πr³/3 = πR²h
dividing through by π, we have
4r³/3 = R²h
multiplying both sides by 3/4, we have
r³ = 3R²h/4
taking cube-root of both sides, we have
r = ∛(3R²h/4)
Substituting the values of the variables into the equation, we have
r = ∛(3(7 cm)² × 7.5 cm/4)
r = ∛(3 × 49 cm² × 7.5 cm/4)
r = ∛(1102.5cm³/4)
r = ∛(275.625 cm³)
r = 6.508 cm
r ≅ 6.51 cm to 2 decimal places
Answer:
(1,64 °F − 32) × 5/9 = 73,333 °C