The rent for one movie is $4.50 and rent for one video game is $5.50
Step-by-step explanation:
Let,
Rent for one movie = x
Rent for one video game = y
According to given statement;
12x+2y=65 Eqn 1
3x+5y=41 Eqn 2
Multiplying Eqn 2 by 4
![4(3x+5y=41)\\12x+20y=164\ \ \ \ Eqn\ 3](https://tex.z-dn.net/?f=4%283x%2B5y%3D41%29%5C%5C12x%2B20y%3D164%5C%20%5C%20%5C%20%5C%20Eqn%5C%203)
Subtracting Eqn 1 from Eqn 3
![(12x+20y)-(12x+2y)=164-65\\12x+20y-12x-2y=99\\18y=99\\](https://tex.z-dn.net/?f=%2812x%2B20y%29-%2812x%2B2y%29%3D164-65%5C%5C12x%2B20y-12x-2y%3D99%5C%5C18y%3D99%5C%5C)
Dividing both sides by 18
![\frac{18y}{18}=\frac{99}{18}\\y=5.50](https://tex.z-dn.net/?f=%5Cfrac%7B18y%7D%7B18%7D%3D%5Cfrac%7B99%7D%7B18%7D%5C%5Cy%3D5.50)
Putting y=5.50 in Eqn 2
![3x+5(5.50)=41\\3x+27.50=41\\3x=41-27.50\\3x=13.50](https://tex.z-dn.net/?f=3x%2B5%285.50%29%3D41%5C%5C3x%2B27.50%3D41%5C%5C3x%3D41-27.50%5C%5C3x%3D13.50)
Dividing both sides by 3
![\frac{3x}{3}=\frac{13.50}{3}\\x=4.50](https://tex.z-dn.net/?f=%5Cfrac%7B3x%7D%7B3%7D%3D%5Cfrac%7B13.50%7D%7B3%7D%5C%5Cx%3D4.50)
The rent for one movie is $4.50 and rent for one video game is $5.50
Keywords: linear equation, elimination method
Learn more about linear equations at:
#LearnwithBrainly
Answer:
![381.5\,\,\,ft](https://tex.z-dn.net/?f=381.5%5C%2C%5C%2C%5C%2Cft)
Step-by-step explanation:
Given: Figure
To find: distance from the right center field fence to third base
Solution:
In a right angled triangle,
using Pythagoras theorem, square of hypotenuse is equal to sum of squares of base and perpendicular.
In ΔBAC,
![BC^2=AB^2+AC^2\\(392)^2=x^2+(90)^2\\153664=x^2+8100\\153664-8100=x^2\\145564=x^2\\\sqrt{145564}=x\\381.5\,\,\,ft=x](https://tex.z-dn.net/?f=BC%5E2%3DAB%5E2%2BAC%5E2%5C%5C%28392%29%5E2%3Dx%5E2%2B%2890%29%5E2%5C%5C153664%3Dx%5E2%2B8100%5C%5C153664-8100%3Dx%5E2%5C%5C145564%3Dx%5E2%5C%5C%5Csqrt%7B145564%7D%3Dx%5C%5C381.5%5C%2C%5C%2C%5C%2Cft%3Dx)
So,
distance from the right center field fence to third base is 381.5 foot.
Answer:
C - 19.43
Step-by-step explanation:
first you need to find how much 1 pound of jelly beans costs. to find that you do 14.74 ÷ 5.5 to get 2.68. Then you times that by 7.25 to get the answer, 19.43
Answer:
(B) 6.82 times 10 Superscript 12
Step-by-step explanation:
I just took the quiz
Answer:
Step-by-step explanation:
Mean is when you add all the numbers and divide by the number of items there are.
Example:
1,5,4,3,2
(So you first add 1+5+4+3+2=15. Then, divide by 5-which is the amount of numbers counted there- 15 divided by 5 and you get 3)
..Your welcome...idk i hope that helped