Apizza restaurant allows you to choose any 2 of 7 toppings. how many
different ways are there to choose the toppings?

21

Step-by-step explanation:

You have 7 options for two toppings, to find the numer of combinatios you need to do the following:

this is because you have 7 toppings, so for the first one you are going to choose you have all the 7 options available, then for the second one, since you already picked one, you have 6 options left. This is why you multiply 7*6 =42

and finally divide by 2 to eliminate the duplicates. For example in the 42 options you have both pepperoni with ham, and ham with pepperoni, this are really the same combination just in a different order, so you must divide by two.

The answer is 21 combinations

30 units^2

step-by-step explanation:

area is l × w

the length is 3

and the width is 10

3 × 10= 30 units squared

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have