two chefs are trying to break world record for the longest spaghetti. chef

two chefs are trying to break world record for the longest spaghetti. chef a measures his spaghetti strand to be 503 2/3 ft chef b measures his spaghetti strand be 503.66 ft. Since 503.66 rounds to 503.7 the judges declare chef b is the winner. Explain y chef a should protest the judges' decision

2 months ago

Solution 1

Guest Guest #9847984
2 months ago
lenght spaghetti chef a:
503 2/3ft= (503*3+2)/3=1511/3 =503,(6)
lenght spaghetti chef b:

Because 503,(6)>503,66
=> lenght spaghetti chef a > lenght spaghetti chef b
So, the winner must be chef a, but, if 503.66 rounds to 503.7, also 503(6) rounds to 503.7, and in this case
lenght spaghetti chef a= lenght spaghetti chef b
So, chef a should protest the judges' decision, because his lenght spaghetti is ≥ lenght spaghetti chef b.

Solution 2

Guest Guest #9847985
2 months ago
[tex] \frac{2}{3} =0.666666... = 0.67[/tex]

Chef A Length >=< Chef B Length
[tex]503 \frac{2}{3} [/tex] >=< [tex]503.66[/tex]
[tex]503.67[/tex] = [tex]503.67[/tex]

If you convert [tex] \frac{2}{3} [/tex] into a decimal and round it, it shows that both the chefs have the the same length of pasta. 

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[tex]21904|2\\10952|2\\.\ 5476|2\\.\ 2738|2\\.\ 1369|37\\.\ \ \ \ 37|37\\.\ \ \ \ \ \ 1|\\\\21904=2\times2\times2\times2\times37\times37=2^4\times37^2\\\\\sqrt{21904}=\sqrt{2^4\times37^2}=\sqrt{2^4}\times\sqrt{37^2}=2^2\times37=4\times37=148[/tex]

Terry has between 50 and 100 pennies and her piggy bank. She can count them two at a time and come out even. She can also count them three and five at a time and come out even. She cannot count them 4 at a time and come out even. How many pennies does she have?
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Step-by-step explanation:

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Solution 1
If you're looking for a comparison word, greater or more would work. You could also use a numerical value and say 448,077 is 101,000 greater/more than 347,077.
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A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation. There could be only two terms, but there could be one hundred, thousand, or a million. There are summations with an infinite set of parameters.

Given the summation,


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Hence "Ten thousand more than 300,000+90,000+5000+40 is 405,040".

For more information about summation


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Begin with 560,313 and subtract 100,000 from it.  You are finding the number that is 100,000 than 560,313 which is 460,313.
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A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

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= 43,687

Thus, the 43,687 is 100,000 less than five hundred sixty thousand, three hundred thirteen; the answer is 43,687.

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2. Explain why any rational number is either a terminating or repeating decimal.

3. Write two decimals, one repeating and one terminating, with values between 0 and 1. Then write an inequality that shows the relationship between your two decimals.

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1. A repeating decimal is a decimal number that eventually takes on a repeating pattern of digits after its decimal point that will continue forever. For example, 17.(23)=17.23232323232323....

2. A decimal number that has digits that do not go on forever is called terminating decimal. Any rational number (that is, a fraction in lowest terms) can be written as either a terminating decimal or a repeating decimal . Just divide the numerator by the denominator . If you end up with a remainder of 0, then you have a terminating decimal. Otherwise, the remainders will begin to repeat after some point, and you have a repeating decimal.

3. Repeating decimal between 0 and 1: 0.(987)=0.987987987987...

Terminating number between 0 and 1: 0.987

0.(987) >0.987.

4. When dividing 1 by 6 you can get 0.1666666666...=0.1(6).