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o-na [289]
2 years ago
10

Using the image above, if the density of the LEGO piece is 0.85 g/cm^3, what COULD be a possible measurement for the density of

oil
0.79 g/cm^3

0.8599 g/cm^3

0.95 g/cm^3

1.75 g/cm^3

Mathematics
1 answer:
grin007 [14]2 years ago
6 0

The Lego is submerged under the oil and therefore, is more dense than the oil

The possible density of the oil is the option;

<u>0.79 g/cm³</u>

Reason:

Given:

The density of Lego = 0.85 g/cm³

Density of oil = Required

Solution:

The density of an object is the mass per unit volume it occupies

  • Density = \dfrac{Mass}{Volume}

Increase in density increases the mass a unit volume occupies, therefore, a

more dense object is heavier than a less dense object such that the less

dense object will float on a dense object

The oil is floating on the Lego, therefore, the Lego is more dense than the

oil, and we have;

  • Density of Lego > Density of oil

The density of Lego = 0.85 g/cm³

Therefore;

0.85 g/cm³ > Density of oil

From the given options, the option that has a density less than 0.85 g/cm³ is the the option 0.79 g/cm³

Therefore, the possible density of the oil is <u>0.79 g/cm³</u>

<u />

Learn more here:

brainly.com/question/12864420

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Rufina [12.5K]

1) Resultant fraction: \frac{65}{63}

2) Total soil: 1\frac{7}{8} pounds

3) Result of the product: \frac{35}{2}

Step-by-step explanation:

1)

In this problem, we want to find the product between the two fractions

\frac{13}{14}

and

\frac{10}{9}

In order to find this product, we have to multiply the numerators of each fraction and the denominators of each fraction. We get:

\frac{13}{14}\cdot \frac{10}{9}=\frac{13\cdot 10}{14\cdot 9}=\frac{130}{126}

Now we simplify, dividing both numerator and denominator by 2:

\frac{130/2}{126/2}=\frac{65}{63}

And the fraction cannot be further simplified.

2)

Here we have:

n = 5 (number of pots that Andy has)

s=\frac{3}{8} (amount of soil (in pounds) that each pot can contain)

In order to find the amount of soil that Andy needs to fill all the pots, we have to multiply the number of pots (n) by the amount of soil that each pot can contain (s).

If we do so, we find:

t=n \cdot s = 5 \cdot \frac{3}{8}=\frac{5\cdot 3}{8}=\frac{15}{8}

Which can be rewritten as a mixed fraction as:

\frac{15}{8}=\frac{8+7}{8}=\frac{8}{8}+\frac{7}{8}=1\frac{7}{8}

3)

Here we want to find the result of the following product:

4\frac{2}{3}\cdot 3\frac{3}{4}

In order to do so, we first have to rewrite each fraction as an improper fraction.

For the 1st fraction:

4\frac{2}{3}=\frac{4\cdot 3+2}{3}=\frac{12+2}{3}=\frac{14}{3}

For the 2nd fraction:

3\frac{3}{4}=\frac{3\cdot 4+3}{4}=\frac{12+3}{4}=\frac{15}{4}

Now we can finally find the product of the two fractions:

\frac{14}{3}\cdot \frac{15}{4}=\frac{14\cdot 15}{3\cdot 4}=\frac{210}{12}=\frac{35}{2}

Where in the last step, we divide both the numerator and the denominator by 6.

Learn more about fractions:

brainly.com/question/605571

brainly.com/question/1312102

#LearnwithBrainly

6 0
3 years ago
Please actually help me. ill give brainliest if you explain your answer.
meriva

Answer:

subtract 11 from both sides

Step-by-step explanation:

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