2 - 0.5n= 3n+16
----------------------- subtract 2 from both sides
-2 -2
-0.5n = 3n+14
----------------------- then subtract -3n from both sides as well
-3n -3n
-3.5n = 14
--------------- divide -3.5 on each side
-3.5 -3.5
simplify
Answer: n= -4
is the number <em>L</em> such that

Consider the first 7 multiples of 5:
5, 10, 15, 20, 25, 30, 35
Taken mod 7, these are equivalent to
5, 3, 1, 6, 4, 2, 0
This tells us that 3 is the inverse of 5 mod 7, so <em>L</em> = 3.
Similarly, compute the inverses modulo 7 of 2 and 3:

since 2*4 = 8, whose residue is 1 mod 7;

which we got for free by finding the inverse of 5 earlier. So

and so <em>R</em> = 2.
Then <em>L</em> - <em>R</em> = 1.
Answer:
It weighs 40 pounds on mars
Step-by-step explanation:
Direct proportion is the relationship between two variables when their ratio is equal to a constant value
- It can be expressed as y = k x, where y varies directly as x and k is constant of variation
- It can be expressed as
∵ The weight of an object on mars varies directly as the weight
of the object on earth
∴ w(m) = k × w(e)
∵ The weight of the object on earth is 75 pound
∴ w(e) = 75
∵ The weight of this object on mars is 25 pounds
∴ w(m) = 25
- Substitute them in the equation of variation
∵ 25 = k × 75
- Divide both sides by 75
∴
= k
∴ w(m) =
× w(e)
∵ An object weighs 120 pounds on earth
∴ w(e) = 120
- Substitute it in the equation of variation
∴ w(m) =
× 120
∴ w(m) = 40
∴ It weighs 40 pounds on mars
Answer:
1. The top choice.
2. The third choice.
3. The third choice.
Step-by-step explanation:
Number one is a line, so it should have two arrows.
Number 2 is a segment, so it should have no arrows.
Number 3 is a ray, so it should have one arrow. (The letters need to be in the same direction as the ray, hence why it is BC and not CB)
Answer:

Step-by-step explanation:

Do cross multiplication


Divide both sides by 12

Calculate

Hope I helped!
Best regards! :D