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Svetradugi [14.3K]
3 years ago
10

Ben fills 42 pints of juice in 12 bottles. Six bottles have a capacity of 3 pints each. The remaining 6 bottles are all of the s

ame capacity. Let b represent the capacity, in pints, of each of the remaining 6 bottles. What is tye capacity of each of the 6 remaining bottles
Mathematics
1 answer:
Nataly [62]3 years ago
5 0

Answer:

The capacity of the remaining bottles = 4 pints.

Step-by-step explanation:

6*3 + 6*b = 42

6b = 42 - 18

6b = 24

b = 4.

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Answer B.
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Find the distance between the
Dovator [93]

Answer:

\displaystyle d = \sqrt{29}

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<u> </u>

<u>Algebra I</u>

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<u>Algebra II</u>

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Step-by-step explanation:

*Note:

The distance formula is derived from the Pythagorean Theorem.

<u>Step 1: Define</u>

<em>Identify</em>

Point (5, 10)

Point (10, 12)

<u>Step 2: Find distance </u><em><u>d</u></em>

  1. Substitute in points [Distance Formula]:                                                         \displaystyle d = \sqrt{(10 - 5)^2 + (12 -10)^2}
  2. [√Radical] (Parenthesis) Subtract:                                                                   \displaystyle d = \sqrt{5^2 + 2^2}
  3. [√Radical] Evaluate exponents:                                                                       \displaystyle d = \sqrt{25 + 4}
  4. [√Radical] Add:                                                                                                  \displaystyle d = \sqrt{29}
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3 years ago
What is the range of f(x)=lxl-6?
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If the domian is 1 then range is -5
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Describe how to write 7,594,000,000 in scientific notation. Complete the description. First move the decimal point places to the
s2008m [1.1K]

Step-by-step explanation:

The given number is 7,594,000,000.

To convert it into scientific notation,

First move the decimal point places to the left to find a number that is greater than or equal to 1 and less than 10. Then multiply by 10 , using an exponent on 10 that equals the number of places you moved the decimal. The exponent is negative if the original no was <1 and the exponent is positive, if the original number was  > 1.

In 7,594,000,000, we move the decimal point places to the left before 5. It means we have moved 9 digits left.

Hence, 7,594,000,000=7.59\times 10^9 is the scientific notation.

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Answer:

Step-by-step explanation:

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combining the two

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