A coffee shop offers a special: 33% extra free or 33% off the regular price. Which offer is a better deal? Explain your reasoning.

33% off the regular price

Step-by-step explanation:

Lets give these a variables to help us better understand this concept

In our scenario lets say the price is $10.00 and you get 10 milliliters prior to the special, this is arbitrary as any values would do

33% extra free

For the 33% extra free deal you get 3.3 milliliters more for $10 for a total of 13.3 milliliters [Math behind this solution: (10*.33)+10]

So now to know how much you're getting per dollar:

13.3/10 = 1.33 ml per dollar

33% off the price

This basically means 67% of the actual price so with that being said

you'd be paying $6.7 for 10 ml. This means you get 1.49 ml per dollar

Compare

1.33ml vs 1.49ml

1.33 < 1.49 so thus 33% off the price is a better deal

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

your answer is -9

step-by-step explanation: