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irina1246 [14]
3 years ago
15

You have a 20 - ounce bottle of juice. You pour out 1/4 of the bottle to share with a friend. If you pour out 3 ounces for yours

elf,what fraction of the 20 ounces will be left in the bottle?
Mathematics
1 answer:
kramer3 years ago
4 0

Answer:

3/5

Step-by-step explanation:

You have a 20 ounce bottle. You pour out 1/4 of it.

20 x 1/4 = 20/4 = 5   You pour out 5 ounces.

20 - 5 = 15 ounces

If you pour out 3 ounces for yourself,  15 - 3 = 12

what fraction of the 20 ounces (original or total amount) will be left in the bottle?

12 ounces is left after pouring out 1/4 of the bottle for your friend and 3 ounces for yourself. 20 ounces was the total amount you first had in the bottle. The fraction that is left is calculated by dividing the amount left (12) by the total (20)

12/20  BUT each number can be divided by/reduced by 4, so dividing each number by 4  (12/4 = 3, 20/4 =5) gives 3/5.

3/5

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The answer is:  [C]:  -0.7, ⅕, 0.35, ⅔ .
________________________________________
Explanation:
_________________________________________
<span>
Note that in this correct Answer choice "C" given, we have the following arrangement of numbers:
_____________________________________________________
   </span>→ -0.7, ⅕, 0.35, ⅔ ; 
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We are asked to find the "Answer choice" (or, perhaps, "Answer choices?") given that show a set of numbers arranged in order from "least to greatest"; that is, starting with a value that is the smallest number in the arrangement, and sequentially progressing, in order from least to greatest, with the largest (greatest) number in the arrangement appearing as the last number in the arrangement.
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Note the EACH of the 4 (four) answer choices given consists of an arrangement with ONLY one negative number, "- 0.7".  Only TWO of the answer choices—Choices "B" and "C"—have an arrangement beginning with the number, "-0.7 ";  So we can "rule out" the "Answer choices: [A] and [D]".
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Let us examine: Answer choice: [B]: <span>-0.7, 0.35, ⅕, ⅔ ; 
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Note: The fraction, "⅕" = "2/10"; or, write as: 0.2 .
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          The fraction, "⅔" = 0.6666667 (that is 0.6666... repeating; so we often               see a "final decimal point" rounded to "7" at some point.
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Otherwise, one can determine the "decimal form" of these values on a calculator by division:
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→ ⅕ = 1/5 = 1 ÷ 5 = 0.2
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→ ⅔ = 2/3 = 2 ÷ 3 = 0.6666666666666667
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For Answer choice: [B], we have:
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→   -0.7, 0.35, ⅕, ⅔ ; 
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→ So, we can "rewrite" the arrangement of "Answer choice [B]" as:
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    → And we can see that "Answer choice: [B]" is INCORRECT; because
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→ Remember from our previous— and aforementioned—examination of "Answer Choice: [B]" ; that:
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