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QuestionCalculate: 405.36 g ÷ 0.57 mL = □\square g/mL; 7.808 g/mL × 0.6 mL = □\square g; 269.58 g ÷ 0.86 mL = □\square g/mL.

Studdy Solution

STEP 1

Assumptions1. The units of measurement are consistent across all problems (grams for mass and milliliters for volume). . The division operation in the first and third problems represents finding the density of a substance (mass/volume).
3. The multiplication operation in the second problem represents finding the mass of a substance given its density and volume.

STEP 2

First, let's solve the first problem. We need to divide the mass by the volume to find the density.
Density=MassVolumeDensity = \frac{Mass}{Volume}

STEP 3

Now, plug in the given values for the mass and volume to calculate the density.
Density=405.36 g0.57 mDensity = \frac{405.36\,g}{0.57\,m}

STEP 4

Calculate the density.
Density=405.36 g0.57 m=710.807 g/mLDensity = \frac{405.36\,g}{0.57\,m} =710.807\,g/mL

STEP 5

Next, let's solve the second problem. We need to multiply the density by the volume to find the mass.
Mass=Density×VolumeMass = Density \times Volume

STEP 6

Now, plug in the given values for the density and volume to calculate the mass.
Mass=.808 g/mL×0.6 mMass =.808\,g/mL \times0.6\,m

STEP 7

Calculate the mass.
Mass=7.808 g/mL×0.6 m=4.685 gMass =7.808\,g/mL \times0.6\,m =4.685\,g

STEP 8

Finally, let's solve the third problem. We need to divide the mass by the volume to find the density.
Density=MassVolumeDensity = \frac{Mass}{Volume}

STEP 9

Now, plug in the given values for the mass and volume to calculate the density.
Density=269.58 g.86 mDensity = \frac{269.58\,g}{.86\,m}

STEP 10

Calculate the density.
Density=269.58 g0.86 m=313.465 g/mLDensity = \frac{269.58\,g}{0.86\,m} =313.465\,g/mLSo, the solutions to the problems are. The density in the first problem is710.807 g/mL.
2. The mass in the second problem is4.685 g.
3. The density in the third problem is313.465 g/mL.

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