If j is the number of integers between 1 and 500 that are divisible by 9 and k is the number of integers between 1 and 500 that are divisible by 7, what is j + k?

  126

Step-by-step explanation:

The number of numbers divisible by 9 is ...

  j = floor(500/9) = 55

The number of numbers divisible by 7 is ...

  k = floor(500/7) = 71

Then the total (j+k) is ...

  j +k = 55 +71 = 126

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.