A graduated cylinder is filled to an initial volume of 20ml. A ball is dropped into the graduated cylinder. The final volume of the graduated cylinder is 29 ml. If the has a mass of 27 g. What is the density of the ball?

Hey there! I'm happy to help!

A graduated cylinder is basically a cylinder with little measurements on it.

If we drop the ball into the cylinder and the final volume in 29 instead of 20, this means that the ball has a volume of 9 mL as it took up 9mL of the water, pushing it up 9 mL.

Density is mass divided by volume. The ball has a mass of 27 g and a volume of 9mL. So, the density is 3 g/mL.

Have a wonderful day! :D

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1