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avanturin [10]
2 years ago
12

A bottle holds exactly 2/3 pint of liquid. How many 2/3-pint bottles can be filled from a 24-pint container

Mathematics
1 answer:
kifflom [539]2 years ago
6 0

Answer:

36 number of 2/3-pint bottles can be filled from a 24-pint container

Step-by-step explanation:

Volume of the container is 24 pint

Volume of the bottle is 2/3 pint

Number of 2/3 pint bottles that can be filled from 24 pint container is

\frac{24}{\frac{2}{3} } \\= 24 * \frac{3}{2} \\= 12 * 3\\= 36

36 number of 2/3-pint bottles can be filled from a 24-pint container

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Which of the following could be the ratio between the lengths of the two legs of a 30-60-90 triangle?
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Answer:c

options A  and B

Step-by-step explanation:

the ratio between the lengths of the two legs of a 30-60-90 triangle

General ration of 30-6- 90 degrees triangle is

x : xsqrt(3) : 2x

When x=1 the ratio becomes 1 : 1 sqrt(3)

when x= 2sqrt(3) the ratio becomes

It becomes

Two sides of 30-60-90 triangle cannot be equal

so option c  and option D are not possible

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1 year ago
Nine more than seven times a number, n, gives the same value as one more than the square of the number. Write an equation and so
Maru [420]

Answer:

7n + 9 = n² + 1

n = -1, 8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Factoring
  • Solving quadratics

Step-by-step explanation:

<u>Step 1: Set up Equation</u>

"Nine more" is + 9

"Seven times a number" is 7n

"One more" is + 1

"Square of the [same] number" is n²

7n + 9 = n² + 1

<u>Step 2: Solve for </u><em><u>n</u></em>

  1. Subtract 7n on both sides:                    9 = n² - 7n + 1
  2. Subtract 9 on both sides:                      0 = n² - 7n - 8
  3. Factor quadratic:                                    0 = (n - 8)(n + 1)
  4. Solve roots:                                            n = -1, 8
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I have no idea

Step-by-step explanation:

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Arte-miy333 [17]

Answer:

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