Belle's Cupcakes recently sold 6 pistachio cupcakes and 8 other cupcakes. Considering this data, how many of the next 56 cupcakes sold would you expect to be pistachio cupcakes?

24 pistachios cupcakes.

Step-by-step explanation:

We know that:

They recently sold 6 pistachio cupcakes and 8 other cupcakes.

Then we can model this with the ratio 6:8

This means that for each 6 pistachio cupcakes sold, they also sell 8 of another type of cupcakes.

Whit this info, if they sell 56 cupcakes, how many of them will be pistachio cupcakes?

Using the ratio above, we must find a number N such that:

N*6 + N*8 = 56.

N*(6 + 8) =  56

N*14 = 56

N = 56/14 = 4.

This means that:

out of the 56 cupcakes, 4*6 = 24 are pistachios cupcakes

                                        4*8 = 32 are other cupcakes.

Then you should expect that 24 out of the 56 cupcakes are pistachios cupcakes.

the answer is b

step-by-step explanation:

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions