Let's call the original amount of money x.
We know that she has 2/5 of the original amount left, and that this is equal to $15.
Therefore, 2/5(x) = 15, and x = $37.50.
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: a=5
Step-by-step explanation: Use the pythagorean theorem and get
(a)^2+(12)^2=(13)^2
This would then be (a)^2+144=169
subtract 144 from both sides and get
(a)^2=25
Take the square root of both sides and you get a=5
This is just an arithmetic sequence because each term is a constant difference from the preceding term, called the common difference.
Any arithmetic sequence can be expressed as:
a(n)=a+d(n-1) where a=initial term, d=common difference, n=term number
In this case a=-8 and d=3 so
a(n)=-8+3(n-1) which you can simplify if you'd like
a(n)=-8+3n-3
a(n)=3n-11
Step-by-step explanation:
Given 1 yard = 0.9144m
0.9144 m = 1 yard
1 m = 1/0.9144 yards = 1.094yards
9m = 9 x 1.094 yards = 9.846yards
given 1 yard = P5.00
9.846 yards = P5.00 x 9.846 = P49.23
