the density of water 20 degrees celcius is 1.00g?mL and the densityof ethylene glycol is 1.114g/mL, if 100.0mL if water is combined with 25.0mL is ethylene glycol, what would be the density of this mixture?

I wonder if your prof expects us to assume the volumes are additive? If so here is what you do.

100 mL H2O x 1.00 g/mL = 100 grams.
25.00 mL ethylene glycol x 1.114 g/mL = 27.85 grams.
Total mass = 127.85 g
Total volume, if they are additive, is 125 mL.
Density = mass/volume = ?

To find the density of the mixture, we need to consider the total mass and total volume of the combined substances.

Let's start by finding the masses of water and ethylene glycol using their densities.

Mass of water = volume of water × density of water
Mass of water = 100.0 mL × 1.00 g/mL = 100.0 g

Mass of ethylene glycol = volume of ethylene glycol × density of ethylene glycol
Mass of ethylene glycol = 25.0 mL × 1.114 g/mL = 27.85 g

Next, we need to find the total volume of the mixture.

Total volume = volume of water + volume of ethylene glycol
Total volume = 100.0 mL + 25.0 mL = 125.0 mL

Finally, we can calculate the density of the mixture by dividing the total mass by the total volume.

Density of mixture = total mass / total volume
Density of mixture = (mass of water + mass of ethylene glycol) / total volume
Density of mixture = (100.0 g + 27.85 g) / 125.0 mL ≈ 1.027 g/mL

Therefore, the density of the mixture would be approximately 1.027 g/mL.