Between what two consecutive integers is 15 and 16

10 and 11

13 and 14

12 and 13

C. 13 and 14

Step-by-step explanation:

They notice that the square root of 182 is between 13 an 14, and it gives them the idea that the numbers 13 and 14 are the solution.

Let n be the smaller of the two consecutive integers.

   Then the other integer is  (n+1).

   We are given that  

      n*(n+1) = 182.

   Simplify

      n^2 + n - 182 = 0,

   Factor left side

      (n-13)*(n+14) = 0.

   The solutions are  n= 13  and  n= -14.

   You may check that both of them satisfy the problem' condition, giving you two answers

       the pair  (13,14)  and the pair  (-14,-13).

Many people prefer to solve this problem in a short way.

   They notice that the square root of 182 is between 13 an 14,

   and it gives them the idea that the numbers 13 and 14 are the solution.

   Then these people get the next idea that if the product of 13 and 14 is equal to 182,

   then the product of the opposite numbers is also 182, so

           both the pairs (13,14)  and  (-14,-13)  are solutions.

Solved and explained in detailed and short modes.

341

step-by-step explanation:

all you have to do is 9x31 (which equals 279) and then 20x31 (which equals 620). then you have to subtract. 620-279=341.

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m