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Cerrena [4.2K]
3 years ago
9

1.7, 8/5, 2% ascending

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
6 0
1.7 = 1.7
8/5 = 1.6
2% = 0.02

2%, 8/5, 1.7
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A toy box has a volume of 30 cubic feet. It is 5 feet wide And 2 feet long. What is the height of the toy box
otez555 [7]
V = a * b * c
V = 30 
a = 5
b = 2 
c = ?
30 = 5*2*c
30 = 10*c
c = 30/10 = 3
c = 3
7 0
3 years ago
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300 ml of pure alcohol is poured from a bottle containing 2 l of pure alcohol. Then, 300 ml of water is added into the bottle. A
Ede4ka [16]

Answer:

The present percentage of pure alcohol in the solution is 72.25% of pure alcohol

Step-by-step explanation:

The volume of pure alcohol poured from the 2 l bottle of pure alcohol = 300 ml of pure alcohol

The volume of water added into the bottle after pouring out the pure alcohol = 300 ml of water

The volume of diluted alcohol poured out of the bottle = 300 ml of diluted alcohol

The volume of water added into the bottle of diluted alcohol after pouring out the 300 ml of diluted alcohol = 300 ml of water

Step 1

After pouring the 300 ml of pure alcohol and adding 300 ml of water to the bottle, the percentage concentration, C%₁ is given as follows;

C%₁ = (Volume of pure alcohol)/(Total volume of the solution) × 100

The volume of pure alcohol in the bottle = 2 l - 300 ml = 1,700 ml

The total volume of the solution = The volume of pure alcohol in the bottle +  The volume of water added = 1,700 ml + 300 ml = 2,000 ml = 2 l

∴ C%₁ = (1,700 ml)/(2,000 ml) × 100 = 85% percent alcohol

Step 2

After pouring out 300 ml diluted alcohol from the 2,000 ml, 85% alcohol and adding 300 ml of water, we have;

Volume of 85% alcohol = 2,000 ml - 300 ml = 1,700 ml

The volume of pure alcohol in the 1,700 ml, 85% diluted alcohol = 85/100 × 1,700 = 1,445 ml

The total volume of the diluted solution = The volume of the 85% alcohol in the solution + The volume of water added

∴ The total volume of the twice diluted solution = 1,700 ml + 300 ml = 2,000 ml

The present percentage of pure alcohol in the solution, C%₂ = (The volume of pure alcohol in the 1,700 ml, 85% diluted alcohol)/(The total volume of the diluted solution) × 100

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The present percentage of pure alcohol in the solution, C%₂ = 72.25%

3 0
3 years ago
Verify the identity. Justify each step.
pishuonlain [190]
From the trigonometry:

tan θ = (sin θ) / (cos θ)
cot θ = (cos θ) / (sin θ)

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6 0
2 years ago
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Vladimir [108]

Answer:

I. $291.67 per passenger

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Step-by-step explanation:

The cost of flying the passenger plane from A to B is $70,000.

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(II)At 10AM and 1PM, the flight is only half full, it has 120 passengers.

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4 0
3 years ago
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the length of a rectangle with area 54 square centimeters is 9 centimeters. what is the perimeter of the rectangle, in centimete
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Answer:

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5 0
2 years ago
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