An artist spends a total of $150 on the supplies needed to create the paintings, p, and drawings, d, he plans to sell. Choose the expression that would represent the profit the artist will make if each painting sells for $75 and each drawings for $35. (A) 75p + 35d - 150
(B) 35p + 75d - 150
(C) 75p - 35d - 150
(D) 35 + p + 75 + d + 150

The answer is both (A) and (B)

Work Shown:

p = number of paintings sold

75p = amount made from paintings alone ($75 per painting)

d = number of drawings sold

35d = amount made from drawings only ($35 per drawing)

R = revenue = amount of money coming in

R = 75p+35d

C = cost = amount of money going out

C = 150

P = profit

P = R - C

P = ( R ) - ( C )

P = ( 75p+35d ) - ( 150 )

P = 75p + 35d - 150

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.