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:
y = 6
x = 2
Step-by-step explanation:
rearrange the first equation in terms of x
x = (y - 2)/2
substiute x in the second equation
y = -5[(y-2)/2] +16
Now simpilify and solve for y
y = (-5y + 10)/2 +16
y = -5/2y + 5 + 16
y + 5/2y = 5 + 16
3.5y = 21
y = 6
Now substitue y in the first equation to solve for x
x = (6 - 2)/2
x = 2
Answer:
71
Step-by-step explanation:
vertical sides are congruent
x+30=101
x=71
Answer:
<h2>x = -347 1/2</h2>
Step-by-step explanation:
When solving algebra, it is important the we follow the steps in correct order and check our answer at the end.
Step 1: Simplify by combining like terms
y = -x/2 + 5/4 + 8y = -25
Step 2: Substitute
y = -25
-25 = -x/2 + 5/4 + 8(-25)
-25 = -x/2 + 5/4 + -200
-25 = -x/2 - 198 3/4
Step 3: Answer
x = -347 1/2
Step 4: Check
y = 3/2x + 5/4 −2x + 8y = −25
-25 = 3/2(-347 1/2) + 5/4 −2(-347 1/2) + 8(-25)
-25 = -25✔️
Step 5: Verified Answer
x = -347 1/2
I'm always happy to help :)
Answer:
a + c = 125 & 12a + 6c = 1140
Step-by-step explanation:
adult ticket total + child ticket total = 125 total tickets
($12 x adult ticket total) + ($6 x child ticket total) = $1140
