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Neko [114]
2 years ago
8

Find the greatest number that will divide 63, 45 and 69 so as to leave the same remainder.

Mathematics
1 answer:
jeka57 [31]2 years ago
7 0

Answer:

6

Step-by-step explanation:

Let n be unknown divisor and a be the same remainder, then

63=q_1\cdot n+a\\ \\45=q_2\cdot n+a\\ \\69=q_3\cdot n+a

Subtract a from all equalities:

63-a=q_1\cdot n\\ \\45-a=q_2\cdot n\\ \\69-a=q_3\cdot n

Subtract them:

63-45=(q_1-q_2)n\Rightarrow 18=(q_1-q_2)n\\ \\69-63=(q_3-q_1)n\Rightarrow 6=(q_3-q_1)n\\ \\69-45=(q_3-q_2)n\Rightarrow 24=(q_3-q_2)n

The greatest number is 6. When you divide numbers 63, 45, 69 by 6, you'll get remainders 3, 3, 3, respectively.

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3 years ago
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In the number 2,145,857, how does the digit 5 in the thousands place compare to the 5 in the tens place?
S_A_V [24]

Answer:


Step-by-step explanation:

Well In 2,145,857 If you only Take the two fives the first five would equal to 50 and the other five in the thousands equals to 5,000. Since 5,000 has more place holders it is the larger number


7 0
3 years ago
help me please look at picture I sent to know ..! btw show work answer all please ignore the number 5 up top on number 11
rosijanka [135]

Answer:

11) 140/8 = 17.5

12) 38/3 = 12.667

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Step-by-step explanation:

To solve each problem you need to multiply the numerator by the whole number:

11) 7*20 = 140

12) 2*19 = 38

13) 6*19 = 114

14) 1*7 = 7

15) 7*2 = 14

Next, you put these numbers back into their corresponding numerators and divide:

11) 140/8 = 17.5     (You can simplify this fraction to 70/4 if needed)

12) 38/3 = 12.667  (This answer is rounded to the thousandths place)

13) 114/9 = 12.667  (This answer is rounded thousandsths place)

14) 7/2 = 3.5

15) 14/9 = 1.556       (This answer is rounded thousandths place)


**These are the improper fractions written as mixed ones** :

11) 17 1/2

12) 12 2/3

13) 12 2/3

14) 3 1/2

15) 1 5/9

I hope this helps!

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Answer:

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Step-by-step explanation:

6 0
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Maritza is buying a multi-pack of 3 pairs of socks for $25.98.

She will save $6.39 by buying a multi-pack instead of buying 3 individual pairs of the same socks.

It mean while buying individually 3 pairs of the same socks

Cost =25.98+6.39=32.37

It mean the cost per pair =\frac{32.37}{3}= 10.79

Hence when bought individually each pair of socks cost $10.79

7 0
3 years ago
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