Answer:
10m - 16
Step-by-step explanation:
1. Perform the indicated multiplication. We get 12m - 6 - 2m - 10.
2. Combine like terms: We get 10m - 16
18.5 - 6 = 12.5 gallons empty
12.5 / 18.5 = 0.676
0.676 x 100 = 67.6%
Answer: 67.6%
Answer:
1.778 times more or 16/9 times more
Step-by-step explanation:
Given:
- Mirror 1: D_1 = 8''
- Mirror 2: D_2 = 6"
Find:
Compare the light gathering power of an 8" primary mirror with a 6" primary mirror. The 8" mirror has how much light gathering power?
Solution:
- The light gathering power of a mirror (LGP) is proportional to the Area of the objects:
LGP ∝ A
- Whereas, Area is proportional to the squared of the diameter i.e an area of a circle:
A ∝ D^2
- Hence, LGP ∝ D^2
- Now compare the two diameters given:
LGP_1 ∝ (D_1)^2
LGP ∝ (D_2)^2
- Take a ratio of both:
LGP_1/LGP_2 ∝ (D_1)^2 / (D_2)^2
- Plug in the values:
LGP_1/LGP_2 ∝ (8)^2 / (6)^2
- Compute: LGP_1/LGP_2 ∝ 16/9 ≅ 1.778 times more
Answer: B
Step-by-step explanation:
68 divided by 204 gives you 0.33 so round to nearest tenth and and go to 0.31 and then convert to percent and you have 31%