Answer:
video game: $29.50
DVD: $10
Step-by-step explanation:
Let d = price of one DVD, and let v = price of 1 video game.
"A bundle of two video games and three DVDS can be purchased for $89.00."
2v + 3d = 89
"A bundle of one video game and two DVDS can be purchased for $49.50."
v + 2d = 49.5
We have two equations in two unknowns, so we can solve them as a system of 2 equations.
2v + 3d = 89
v + 2d = 49.5
Rewrite the first equation.
Multiply both sides of the second equation by -2 and write it below the first equation.
Add the equations.
2v + 3d = 89
(+) -2v - 4d = -99
---------------------------
-d = -10
d = 10
Now we substitute 10 for d in the second original equation and solve for v.
v + 2d = 49.5
v + 2(10) = 49.5
v + 20 = 49.5
v = 29.5
Answer: video game: $29.50; DVD: $10
Answer:
thanks!
Step-by-step explanation:
Answer:
is rational number
Step-by-step explanation:
Rational number is of the form p/q, where q ≠ 0. It may be a terminating number or non terminating repeating number.
√2 is irrational number as it is non terminating non repeating number
π is irrational number as it is non terminating non repeating number
√10 is irrational number as it is non terminating non repeating number.
is a rational number
A rug is to fit in a room so that a border of even width is left on all four sides.
If the room is 16 feet by 25 feet and the area of the rug is 220 square feet, how wide will the border
:
Let x = the width of the border around the rug
then
(25-2x) by (16-2x) the dimensions of the rug
:
The area equation
(25-2x)*(16-2x) = 220 sq/ft
FOIL
400 - 50x - 32x + 4x^2 = 220
:
Arrange as a quadratic equation
4x^2 - 82x + 400 - 220 = 0
:
4x^2 - 82x + 180 = 0
Simplify, divide by 2
2x^2 - 41x + 90 = 0
Factor
(2x - 5)(x - 18) = 0
Two solutions
2x = 5
x = 2.5 ft
and
x = 18 ft, obviously this not the solution
;
Border will be 2.5 ft
:
:
Check this by finding the dimension of the rug, and then the area
(25 - 2(2.5))*(16 - 2(2.5)) =
(25 - 5) * (16 - 5) =
20 * 11 = 220