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
I would put in,
1.Moderate and positive
2.Moderate and negative
3.Weak and positive
4.Strong and negative
(15 1/4) / (2/3) =
61/4 * 3/2 =
183/8 =
22.875.....maximum number is 22
<h2>
Hello!</h2>
The answer is:
Nicole has to run 6 laps when Marta has run 8 laps.
<h2>Why?</h2>
In order to calculate how many laps will Nicole have to run when Marta has run 8 laps, we need to use two equations.
We must consider that since both Marta's and Nicole's speed are constant all the time, Marta wil always run more laps than Nicole, meaning that there is not possibility for Nicole to run the same number of laps that Marta.
We know that they started at different time at the same constant speed, and when Marta has run 5 laps, Nicole has run 3 laps, there is a difference of 2 laps, and it will be always like that.
So, we can conclude that Marta will always be 2 laps ahead of Nicole.

For Marta we have:

For Nicole we have:

Now, if we want to calculate how many laps will Nicole has to run when Marta has run 8 laps, we need to use the second equation (Nicole's equation) and substitute the number of laps (Marta's lap), so, substituting and calculating we have:


Hence, we have that Nicole has to run 6 laps when Marta has run 8 laps.
Have a nice day!
Hey there,
20 hours = $100 + ($8 x 20)
= $260
40 hours = $8 x 40
= $320
60 hours = $8 x 60
= $480
Hope this helps :))
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