Answer:
radius is 4 height is 10 volume is 167.55
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please check below in the attached, you will see answer to given questions, thank you, I hope it helps.
First number --- (2a-1)
middle number ---- (2a)
third number -----(2a+1)
2a-1+2a+2a+1=250
6a=250
a=250/6= 125/3
2a=2*(125/3)= 250/3 ---- is not a whole number that is contradicts to what is given, so sum cannot be 250
so
Answer:
Ivy is 6 years old and Rose is 12 years old.
Step-by-step explanation:
To solve this problem, two variables are necessary since we have two unknown variables: Ivy's age and Rose's age.
Ivy's age will be ![x](https://tex.z-dn.net/?f=x)
and Rose's age will be ![y](https://tex.z-dn.net/?f=y)
"Ivy is half as old as her sister":
![x=\frac{y}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7By%7D%7B2%7D)
this will be our <u>fist equation.</u>
"In six years, Ivy will be two-thirds as old as Rose"
in six years Ivy will have
years, and Rose will have
years, so for this sentence we have the equation:
![x+6=\frac{2}{3}(y+6)](https://tex.z-dn.net/?f=x%2B6%3D%5Cfrac%7B2%7D%7B3%7D%28y%2B6%29)
this will be our <u>second equation.</u>
Substituting the value of x from the first equation into the second, and solving for y(Rose):
![\frac{y}{2}+6=\frac{2}{3} (y+6)\\\frac{y+12}{2} =\frac{2}{3} (y+6)\\y+12=\frac{4}{3} (y+6)\\3(y+12)=4(y+6)\\3y+36=4y+24\\36-24=4y-3y\\12=y](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B2%7D%2B6%3D%5Cfrac%7B2%7D%7B3%7D%20%28y%2B6%29%5C%5C%5Cfrac%7By%2B12%7D%7B2%7D%20%3D%5Cfrac%7B2%7D%7B3%7D%20%28y%2B6%29%5C%5Cy%2B12%3D%5Cfrac%7B4%7D%7B3%7D%20%28y%2B6%29%5C%5C3%28y%2B12%29%3D4%28y%2B6%29%5C%5C3y%2B36%3D4y%2B24%5C%5C36-24%3D4y-3y%5C%5C12%3Dy)
Rose is 12 years old.
and Ivy (using the fist equation):
![x=\frac{12}{2}=6](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B12%7D%7B2%7D%3D6)
Ivy is 6 years old.