WILL GIVE 40 POINTS Use the graphing calculator to graph the system of equations and find the solution where x is the total hats sold and y is the total t-shirts sold.

x + y = 152,

8.5x + 12y = 1,656

How many hats were sold?

(blank) hats

Just solve the equations simultaneously

Step-by-step explanation:

x + y = 152      (1)

8.5x+ 12y = 1656     (2)

From equation (1)

y = 152 - x           (3)

From equation (3) and equation (2)

8.5x + 12 (152-x) = 1656

8.5x -12x + 1824 = 1656

-3.5x = -168

x = 48

From equation (3)

y = 152 - 48

y = 104

So, the number of hats sold is 48.

Also, if you're using a graphing calculator to solve this question, all you have to do is draw the graphs of x + y = 152 and 8.5x + 12y = 1656.

The values of x and y are given by the intersecting point of the two graphs.

38.6°

step-by-step explanation:

resultant is 10 pound

smaller force = 8 pound

angle formed = tan⁻¹(

                        =tan⁻¹(

                          =tan⁻¹(0.8)

                        =38.6°