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Romashka-Z-Leto [24]
2 years ago
8

Two consecutive odd whole numbers are selected. The difference between the reciprocals of the two numbers is 2/143. Determine th

e two numbers.
Mathematics
1 answer:
nikklg [1K]2 years ago
5 0

Answer:

  11 and 13

Step-by-step explanation:

Suppose the smaller one is x. Then the difference of their reciprocals is ...

  \dfrac{1}{x}-\dfrac{1}{x+2}=\dfrac{(x+2)-(x)}{x(x+2)}=\dfrac{2}{x(x+2)}

This tells us that x will be the smaller of the two factors of 143:

  143 = 11×13

  x = 11

The two numbers are 11 and 13.

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IF TUPAC RAN 35 miles Away From BIGGIE SMALLS. IF BIGGIE ran 3 miles but didnt catch TUPAC how far away was TUPAC
Masteriza [31]

Answer:

Well after Biggie ran 3 miles Tupac would be 32 miles away from biggie.

Step-by-step explanation:

4 0
3 years ago
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Simon has more money than Kande. if Simon gave Kande K20, they would have the same amount. While if Kande gave Simon $22, Simon
motikmotik

Given parameters;

  Let us solve this problem step by step;

Let us represent Simon's money by S

Kande's money by K

  • Simon has more money than Kande

               S > K

  •  if Simon gave Kande K20, they would have the same amount;

 if Simon gives $20, his money will be  S - 20 lesser;

      When Kande receives $20, his money will increase to K + 20

                     S - 20  = K + 20   ------ (i)

  • While if Kande gave Simon $22, Simon would then have twice as much as Kande;

          if Kande gave Simon $22, his money will be K - 22

    Simon's money, S + 22;

                  S + 22  = 2(K - 22)    ------ (ii)

Now we have set up two equations, let us solve;

         S - 20  = K + 20  ---- i

         S + 22  = 2(K - 22)  ;       S + 22  = 2K - 44  ---- ii

So,      S - 20  = K + 20

          S + 22  = 2K - 44

subtract both equations;

               -20 - 22  = (k -2k)  + 64

                   -42  = -k + 64

                       k  = 106

Using equation i, let us find S;

            S - 20 = K + 20

             S - 20  = 106 + 20

              S = 106 + 20 + 20  = 146

Therefore, Kande has $106 and Simon has $146

3 0
2 years ago
Which values of xwould make a polynomial equal to zero if the factors of the
Nady [450]
C.-2 and -11 that would be the answer.
3 0
2 years ago
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Eve is making a bird house. To make the walls she takes a piece of wood and cuts it into 4 pieces in the ratio 5:6:6:7. The long
allsm [11]

Answer:

The original piece of wood is 108 cm

Step-by-step explanation:

From the given ratio, the shortest is of the ratio 5 and the longest is of the ratio 7

Let the original piece of wood be x

so the sum of the ratios will be;

5 + 6 + 6 + 7 = 24

the shortest length would be 5/24 * x

= 5x/24

the longest will be 7/24 * x = 7x/24

From the question;

7x/24 -5x/24 = 9

(7x-5x) = 24(9)

2x = 24(9)

x = (24 * 9)/2

x = 108 cm

4 0
2 years ago
Gabriela has dinner at a cafe and the cost of her meal is \$45.00dollar sign, 45, point, 00. Because of the service, she wants t
alexgriva [62]

Answer:

$51.75

Step-by-step explanation:

Multiply 45.00 by 0.15 and you get 6.75

Once you get that add the 45.00 and the 6.75 to get 51.75 hope this helps

3 0
3 years ago
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