Answer:
10,000 cm² in 1 m²
1,000,000 cm³ in 1 m³
Step-by-step explanation:
There are 100 cm in 1 m
Therefore, to find how many square cms are in 1 square meter, we need to square 100: 100² = 100 x 100 = 10,000
Therefore, there are 10,000 cm² in 1 m²
Therefore, to find how many cubic cms are in 1 square meter, we need to cube 100: 100³ = 100 x 100 x 100 = 1,000,000
Therefore, there are 1,000,000 cm³ in 1 m³
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Define price and weight
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Let the price of the diamond be y and the weight be x.
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General equation for y varies directly as square root of x
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y = kx², where k is a constant
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Find the constant k
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when x = 12, y = 7200
7200 = k(12)²
7200 = 144k
k = 7200 ÷ 144
k = 50
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Substitute k into the equation
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y = 50x²
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Calculate the weight of the two broken diamonds
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The diamond is broken into 3:1
3 + 1 = 4
4 shares = 12
1 share = 12 ÷ 4
1 share = 3 decigrams
3 shares = 3 x 3
3 shares = 9 decigrams
Ratio 1 : 3 = 3 decigrams : 9 decigrams
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Find price of the of the 3 decigrams
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y = 50(3)²
y = $450
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Find the price of the 9 decigrams
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y = 50(9)²
y = $4050
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Total price of the 3 decigrams and the 9 decigrams
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$450 + $4050 = $4500
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Lost incurred
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$7200 - $4500 = $2700
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Answer: The lost incurred is $2700
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Answer:
0.79
Step-by-step explanation:
This value is the most opposite of the value above R, meaning that there is an association between the variables.
Distributive because they are multiplying a number by a group of numbers added together is the same as doing each multiplication separately.
Answer: 7^8
Step-by-step explanation:
7^12 = 13,841,287,201
7^4 = 2,401
Dividing these numbers gets 5,764,801, which is equal to 7^8