Answer:
- movie: $1.25
- video game: $5.25
Step-by-step explanation:
Let m and v represent the rental costs of movies and video games, respectively. The two rentals can be described by the equations ...
5m +3v = 22
2m +6v = 34
We notice that the coefficient of v in the second equation is 2 times that in the first equation. This will make it easy to eliminate v as a variable.
Subtracting the second equation from 2 times the first gives ...
2(5m +3v) -(2m +6v) = 2(22) -(34)
8m = 10 . . . . . . . . . . . simplify
m = 10/8 = 1.25 . . . . . divide by the coefficient of m
Using this in the second equation, we can find v:
2(1.25) +6v = 34 . . . . .substitute for m
6v = 31.50 . . . . . . . . . subtract 2.50
v = 5.25 . . . . . . . . . . . divide by the coefficient of v
The rental cost for a movie is $1.25; for a video game it is $5.25.
Answer:
Step-by-step explanation:
it will be irrational
The volume of a cone is 1/3 the volume of a cylinder
Solving this involves basic arithmetic.
The number is -10
Let the number that is a product with 6 be x.
This product is the same as 40 less than twice that same number.
Thus; 6x = 2x - 40
Rearranging, we have;
6x -2x = -40
4x = -40
x = -40/4
x = -10
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