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Minchanka [31]
3 years ago
8

A whole number has a 3 in the tens place. If the value of the 3 in a new number is ten times the value of the 3 in the original

number, what must be true? The 3 in the new number is in the ones place. The 3 in the new number is in the tens place. The 3 in the new number is in the hundreds place. The 3 in the new number is in the thousands place
Advanced Placement (AP)
2 answers:
choli [55]3 years ago
7 0

Answer: The 3 in the new number is in the hundreds place

Explanation:

Zanzabum3 years ago
5 0

A whole number has a 3 in the tens place. If the value of the 3 in a new number is ten times the value of the 3 in the original number, what must be true?

a. The 3 in the new number is in the ones place.

b.The 3 in the new number is in the tens place.

c.The 3 in the new number is in the hundreds place.

d. The 3 in the new number is in the thousands place

Answer:

c. The 3 in the new number is in the hundreds place.

Explanation:

A whole number is simply a counting numbers and can have differing numbers of digits in it. Whole numbers can be seen as natural numbers as it begin from 1 . Whole numbers are also positive integers and in this case we include 0.

In a whole number each digit has a fixed position called its place. For example in the number 235, the digit 5 is at one's or unit's place, digit 3 is at ten's place and digit 2 is at hundred's place.

In the question ;

X3Y – sentence 1

X3P × 10 = X3PA– sentence 2

Where the letters are unknown digits with known places.

Obviously from sentence 2 we see that the digit 3 has moved from the tenth place to the hundredth place.

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myrzilka [38]

Replacing <em>F</em> with <em>F</em> + 1 gives

5/9 (<em>F</em> + 1 - 32) = 5/9 (<em>F</em> - 32) + 5/9 = <em>C</em> + 5/9

so a temperature increase of 1º F translates to a 5/9º increase in Celsius, so I is true.

Replacing <em>F</em> with <em>F</em> + 5/9 gives

5/9 (<em>F</em> + 5/9 - 32) = 5/9 (<em>F</em> - 32) + (5/9)² = <em>C</em> + 25/81

so increasing the temperature by 5/9º F amounts to a 25/81º increase in Celsius, so III is false.

Solve for <em>F</em> in terms of <em>C</em> :

<em>F</em> = 9/5 <em>C</em> + 32

Replacing <em>C</em> with <em>C</em> + 1 gives

9/5 (<em>C</em> + 1) + 32 = 9/5 <em>C</em> + 32 + 9/5 = <em>F</em> + 9/5

and 9/5 = 1.8, so a 1º C increase translates to a 1.8º F increase, so II is also true and the answer is D.

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