In a 4-digit number, the two greatest place-value digits are 2. The sum of the ones and tens digits is 14. What numbers are possible?
We're told we have a number that looks like 22ab where a and b are the ten's and one's digits, and a+b=14. There aren't too many possibilities for two single digit numbers to add to 14. The first pair is 5+9=9+5 so 2259 and 2295 are two possible numbers. You should be able to find two more pairs of numbers that sum to 14. Remember to write them forward and backwards.
a test tube contains ten grams of alchohol, water, corn syrup, and cooking oil. you know the density of pure water is apprx. 1.00 g/mL.
twenty million.tree hunderd four thousand
To determine the densities of the substances in the test tube, we need to know their masses and volumes. Since the question only provides the mass of each substance, we need to calculate the volumes first.
1. First, let's determine the volume of each substance by dividing its mass by its density. Let's assume the densities (in g/mL) of alcohol, corn syrup, and cooking oil are given or can be found from another source.
2. For example, if the density of alcohol is 0.8 g/mL, we can calculate the volume of alcohol by dividing its mass (10 grams) by its density (0.8 g/mL):
Volume of alcohol = Mass of alcohol / Density of alcohol
= 10 g / 0.8 g/mL
= 12.5 mL
3. Repeat the same process to calculate the volumes of corn syrup and cooking oil, using their respective densities.
4. Once you have the volumes of each substance, you can compare them to determine the densities. The density of a mixture can be calculated by dividing the total mass of the mixture by its total volume.
Total mass = Mass of alcohol + Mass of water + Mass of corn syrup + Mass of cooking oil
= 10 g + (mass of water) + (mass of corn syrup) + (mass of cooking oil)
Total volume = Volume of alcohol + Volume of water + Volume of corn syrup + Volume of cooking oil
Density of mixture = Total mass / Total volume
Remember to convert the given or calculated densities from g/mL to g/cm³ if necessary.
To determine the density of the mixture, we need to know the volume of the mixture. Since we only know the mass of the mixture (10 grams), we can't calculate the density without additional information. The density is calculated by dividing the mass of the substance by its volume.
However, if we assume that the volume of the mixture is 10 mL (which is the same as 10 grams since the density of water is 1 g/mL), then the density of the mixture would be 1.00 g/mL, since the density of pure water is approximately 1.00 g/mL. But please note that this is just an assumption based on the given information, and the actual density may vary depending on the proportions of alcohol, corn syrup, and cooking oil in the mixture.