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Neporo4naja [7]
2 years ago
12

The sum of a number and its reciprocal is 2whole number 1 over 6. Find that number​

Mathematics
1 answer:
notsponge [240]2 years ago
6 0

Answer:

  2/3 or 3/2

Step-by-step explanation:

Let x represent the number. The given relation is ...

  x +1/x = 2 1/6

  x^2 +1 = (13/6)x

  6x^2 -13x +6 = 0 . . . . . subtract the right side and multiply by 6

  (6x -9)(6x -4)/6 = 0 . . . . factor

  (2x -3)(3x -2) = 0 . . . . . . simplify a bit

  x = 3/2  or  2/3 . . . . . . . . values of x that make the factors zero

The number is 2/3 or its reciprocal, 3/2.

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An ice cream sells 4 drinks, in 5 sizes, and 7 flavors. How many ways can a customer order a drink?
tigry1 [53]

Answer:

140 ways

Step-by-step explanation:

4 x 5 x 7 = 140

3 0
3 years ago
A study of a new medical procedure selected 27 candidates from a pool of 583 potential candidates.Each of the candidates had an
nikklg [1K]

The answer is random sampling

7 0
3 years ago
Todd is 81 years younger than Rosa. 3 years ago, Rosa’s age was 4 times Todd’s age. How old is Todd now?
Delvig [45]
Let t represent Todd's age now.
.. 4(t -3) -(t -3) = 81 . . . . . . 3 years ago, their differnce in ages was 81.
.. 3t -9 = 81
.. t = (81 +9)/3 = 30

Todd is 30 now.

_____
You can also work this by considering "ratio units." 3 years ago, the ratio of their ages was 4:1, a difference of 3. That difference corresponds to 81 years, so each "ratio unit" represents 81/3 = 27 years. Todd's age then was 1 ratio unit, 27 years. Now, Todd's age is 30.
8 0
3 years ago
At Prairieview Middle School, 100 students participate in at least one of three after-school clubs: soccer club, art club, and g
Tresset [83]

Answer:

17

Step-by-step explanation:

Number of students in soccer club, n(S) = 50

Number of students in Art club, n(A) = 53

Number of students in Gaming club, n(G)

n(S \cup A\cup G) = 100

n(S \cap A\cap G) = 9

n(S \cap A) = 20

n(A \cap G) = 35

n(G \cap S) = 29

Formula:

n ( A ∪ B ∪ C ) =  n(A) + n(B) + n(C) – n ( A ∩ B ) – n(B ∩ C) – n (A ∩ C) + n( A ∩ B ∩ C )

Putting the values:

100 = 50 + 53 + n(G) - 20 - 35 - 29 + 9

100 = 112 + n(G) - 84

n(G) = 72

Number of students in gaming club only = n(G) - n(G \cap S) - n(A \cap G) + n(S \cap A\cap G)

= 72 - 35 - 29 + 9

= <em>17</em>

6 0
3 years ago
Make word problem for 6,8 4,8
Butoxors [25]

Answer:

sorry this is for the points

4 0
3 years ago
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