Nellie's Tea Shop has caffeinated tea and decaffeinated tea. During the lunchtime rush, the tea shop served 40 teas in all, 70% of which were caffeinated. How many caffeinated teas did the tea shop serve?

28 caffeinated teas

Step-by-step explanation:

The tea shop served 40 teas in all.

70% of this 40 were caffeinated.

The actual number that was caffeinated is therefore:

= Number of teas served * Caffeinated percentage

= 40 * 70%

= 28 caffeinated teas

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.