Lou says to his granddaughter Audrey, "Even if you tripled your age and added 9, you still wouldn't be as old as I am.” Lou is 60 years old. Write and solve an inequality to determine the possible ages Audrey could be. ​

3x+9 < 60 where x = Audrey's age

Step-by-step explanation:

Lou says "even if you tripled you age", which means that if Audrey's age is represented by the variable x, then we would multiply it by 3 to get 3x. the next part says "and add 9". We already have the 3x, so we would just tack on a +9 to get 3x + 9. The last part says "you still wouldn't be as old as me." Given that 3x+9 represents Audrey's age, this equation would have to be less than Lou's age, which in this case is 60.

Volume of emerald = 137.04cm³

Step-by-step explanation:

Given that:

Mass of emerald = 378.24grams

Density of emerald = 2.76grams/cm³

Volume = ?

The equation for this relationship is ρ = m / V in which ρ is density, m is mass (kg or g) and V is volume (cm³ or m³) making the density unit kg/m³ or g/cm³.

Therefore

Density = mass/volume

Volume = Mass/density

i.e

Volume of emerald = Mass of emerald / Density of emerald

Volume of emerald = 378.24grams / 2.76grams/cm³

Volume of emerald = 137.043cm³ ~137.04cm³

Volume of emerald =137.04cm³