Answer: 105
Step-by-step explanation:
Corresponding sides of similar triangles are proportional, so
![\frac{x}{14}=\frac{97.5}{13}\\\\=\frac{x}{14}=7.5\\\\x=\boxed{105}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B14%7D%3D%5Cfrac%7B97.5%7D%7B13%7D%5C%5C%5C%5C%3D%5Cfrac%7Bx%7D%7B14%7D%3D7.5%5C%5C%5C%5Cx%3D%5Cboxed%7B105%7D)
Answer:
1/4 is the correct answer
Step-by-step explanation:
Even after replacing the marble the propability will not chance.
The total rental cost is $120.
Let x be the amount each person pays and y be the total cost. Our first equation would be
4x = y.
The second equation would be
6(x-10) = y.
Since these are set equal to the same variable, we can use substitution:
4x = 6(x-10)
Using the distributive property, we have
4x = 6*x - 6*10
4x = 6x-60
Subtract 4x from both sides:
0 = 2x-60
Add 60 to both sides;
60 = 2x
Divide both sides by 2:
30 = x
This means each person pays $30 (in the first equation). 4(30) = 120 for y.
With 4 people, each person pays $30; with 6 people, each person pays 30-10=20.
Answer:
400
Step-by-step explanation: