Freshly frozen yogurt is the popular place in town. saturday is their busiest night. the ratio of number of cones to the number of cones to the number of cups sold is 6: 5 however on sunday night the ratio of the number of cones to the number of cups is 4: 1 if freshly frozen yogurt sold 42 cones on saturday night how many cups did it sell on saturday night?

On Saturday night it had sold 35 numbers of cups.

Step-by-step explanation:

On the Saturday night the ratio of the number of cones to the number of cups sold is 6 : 5 in Freshly frozen yogurt however on Sunday night the ratio of the number of cones to the number of cups is 4 : 1.

Now, if the Freshly frozen yogurt sold 42 cones on Saturday night then in the ratio of 6 : 5, it sold cups times the number of cones.

Therefore, on Saturday night it had sold numbers of cups. (Answer)

First, try to see if the 3 terms have a common factor. Yoru equation does not. So u have to multiply the 8x^2 and the 27. That is 216. Then you have to think to yourself, what multiplys to be 216 and adds to be -30? Those numbers are -36 and 6. Now your equation is 8x^2-36x+6x-27=0. Next, factor. What  is both a factor of 8 and 6? That would be 2 and they both have at least one x. So you factor that to get 2x(4x+3). Now the other part. What goes into negative 36x and negative 27 that would be 9 . So when you factor that you get 9(4x-3). They are the same except for the sign and thats easy. That 3 in the second part has to positive to multiply with the -9 to geta -27. So your finally answer is (2x-9)(4x-3).