B is correct
25% of 500 is 125, 500-125 is 375 which is how many remaining star stickers there are.
Answer: everything except option 2 I think
Step-by-step explanation:
Rational numbers are numbers that can be written as quotients
Answer:
a) 3x + y = -5 & b) y = 1/3 ( 21- 9x )
Step-by-step explanation:
a)
3x + y = -5
y = -3x -5
b)
y = 1/3 ( 21 - 9x)
y = -3x + 7
y = 3x + 2.5
the slop is to be same in the parallel lines. slop means m in ( y = mx + c )
so a) & b) are parallel lines. since their m is -3 .
Answer: The required fraction = ![\dfrac18](https://tex.z-dn.net/?f=%5Cdfrac18)
Step-by-step explanation:
Let the required fraction = ![\dfrac{p}{q}](https://tex.z-dn.net/?f=%5Cdfrac%7Bp%7D%7Bq%7D)
Given: Initial height = 192 inches
Height of ball after second bounce = ![\dfrac{p}{q}\times192](https://tex.z-dn.net/?f=%5Cdfrac%7Bp%7D%7Bq%7D%5Ctimes192)
Height of ball after third bounce = ![\dfrac{p}{q}\times\dfrac{p}{q}\times192=192\dfrac{p^2}{q^2}](https://tex.z-dn.net/?f=%5Cdfrac%7Bp%7D%7Bq%7D%5Ctimes%5Cdfrac%7Bp%7D%7Bq%7D%5Ctimes192%3D192%5Cdfrac%7Bp%5E2%7D%7Bq%5E2%7D)
After the third bounce it is 3 inches off the ground.
So,
![(\dfrac{p}{q})^2192=3\\\\\\(\dfrac{p}{q})^2=\dfrac{3}{192}\\\\(\dfrac{p}{q})^2=\dfrac{1}{64}\\\\(\dfrac{p}{q})^2=(\dfrac{1}{8})^2\\\\ \dfrac{p}{q}=\dfrac{1}{8}](https://tex.z-dn.net/?f=%28%5Cdfrac%7Bp%7D%7Bq%7D%29%5E2192%3D3%5C%5C%5C%5C%5C%5C%28%5Cdfrac%7Bp%7D%7Bq%7D%29%5E2%3D%5Cdfrac%7B3%7D%7B192%7D%5C%5C%5C%5C%28%5Cdfrac%7Bp%7D%7Bq%7D%29%5E2%3D%5Cdfrac%7B1%7D%7B64%7D%5C%5C%5C%5C%28%5Cdfrac%7Bp%7D%7Bq%7D%29%5E2%3D%28%5Cdfrac%7B1%7D%7B8%7D%29%5E2%5C%5C%5C%5C%20%5Cdfrac%7Bp%7D%7Bq%7D%3D%5Cdfrac%7B1%7D%7B8%7D)
Hence, The required fraction = ![\dfrac18](https://tex.z-dn.net/?f=%5Cdfrac18)