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Harman [31]
3 years ago
5

oakwood has a mass of 2.85 kilograms and a volume of 4100 cubic centimeters. determine the density of oak in grams per cubic cen

timeter.
Mathematics
1 answer:
bogdanovich [222]3 years ago
6 0

Answer:

The density of oak is <u>0.695</u> grams per cubic centimeter.

Step-by-step explanation:

Given:

Oakwood has a mass of 2.85 kilograms and a volume of 4100 cubic centimeters.

Now, to find the density of oak in grams per cubic centimeter.

Mass (m) = 2.85 kilograms.

So, using conversion factor we convert into grams:

2.85\times 1000=2850\ grams.

Volume (v) = 4100 cubic centimeters.

Now, to get the density by using formula:

Density=\frac{mass}{volume} \\Density=\frac{m}{v}

Density=\frac{2850}{4100}

Density=0.695\ grams\ per\ cubic\ centimeter.

Therefore, the density of oak is 0.695 in grams per cubic centimeter.

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Given:

Cost of two donuts and three cookies = $3.30

Cost of five donuts and two cookies = $4.95

To find:

The cost of each donut.

Solution:

Let x be the cost of each donut and y be the cost of each cookie.

Cost of two donuts and three cookies = $3.30

2x+3y=3.30          ...(i)

Cost of five donuts and two cookies = $4.95

5x+2y=4.95          ...(ii)

Multiply equation (i) by 2.

4x+6y=6.60          ...(iii)

Multiply equation (ii) by 3.

15x+6y=14.85      ...(iv)

Subtracting (iii) from (iv), we get

15x+6y-4x-6y=14.85-6.60

11x=8.25

Divide both sides by 11.

x=\dfrac{8.25}{11}

x=0.75

Therefore, the cost of each donut is $0.75.

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3 years ago
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Answer:

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Your total after tax is $30.12
A 20% tip is approximately $5.50 ($5.67)
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Step-by-step explanation:

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