Richard and kayla have 48 apples. kayla has 35% more apples than richard.

a) write an equation that represents this situation

b) if kayla has 162 apples, how many apples does richard have?

A. 1.65 k = 48

B. 105

Step-by-step explanation:

If we name "k" the amount of apples that Kayla has, and "r" the amount of apples thata Richard has, we know that r + k =48 (the two of them together have 48 apples).In addition, we know that Kayla has 35% more apples than Richard. This means that k  (1-0.35) = r (the apples of Richard are 0.35 % smaller than the apples of Kayla). Then 0.65 k = rThen, taking these two considerations together, r + k= 48 and 0.65 k= r, imply 0.65 k  + k = 48 (I just replace the second equation into the first one). Which finally means that k= 29 (and r = 19 because r+ k=48). If Kayla has 162 apples, and according previous statements, she has 35% more apples than Richard, this means that 0.65 k= r, therfore if k=162,  r= 162 x 0.65  = 105  (Richar has 105 apples).

so the perpendicular line goes through the given pointyou would get a perpendicular line at some random location

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.