One month Mai rented 12 movies and 2 video games for a total of $53. The next month she rented 3 movies and 5 video games for a
total of $38. Find the rental cost for each movie and each video game.
1 answer:
Answer:
Movie cost $3.5 and the video game cost $5.5
Step-by-step explanation:
Given data
Let the cost of movies be x
and the cost of video game be y
12x+2y= 53----------1
and
3x+5y= 38-----------2
solve 1 and 2
12x+2y= 53X 5
3x+5y= 38 X2
60x+10y= 265
- 6x+10y= 76
54x= 189
x= 189/54
x= $3.5
put x= 3.5 in 1
12(3.5)+2y= 53
42+2y= 53
2y= 53-42
2y= 11
y= 11/2
y= $5.5
Hence the movie cost $3.5 and the video game cost $5.5
You might be interested in
<u><em>≡ We know that:</em></u>⇔
→
⇔
→
<u><em>≡ Solution:</em></u>⇒
![\sqrt{[(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}]}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B%28x_%7B2%7D-x_%7B1%7D%29%5E%7B2%7D%2B%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D%5D%7D%20)
⇒
![\sqrt{[(3-(-4))^{2}+(-1-(-5))^{2}]}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B%283-%28-4%29%29%5E%7B2%7D%2B%28-1-%28-5%29%29%5E%7B2%7D%5D%7D%20)
⇒
![\sqrt{[7^{2}+4^{2}]}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B7%5E%7B2%7D%2B4%5E%7B2%7D%5D%7D%20)
⇒
![\sqrt{[49+16]}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B49%2B16%5D%7D%20)
⇒
0.00000000828860 upto which decimal?
Find AC using Pythagorean theorem
6^2 + 8^2 = AC^2
36 + 64 = AC^2
100 = AC^2
10 = AC
6+8+10 = 24
24/60 = 2/5
10/x = 2/5
50 = 2x
25 = x
Answer:
5:11
Step-by-step explanation:
Answer:
The answer is the second one 687p + 920 = -705.6
Step-by-step explanation:
The decimal place in each number was shifted right 2 spots
