Alice and Bob each have a certain amount of money. If Alice receives n dollars from Bob, then she will have 4 times as much money as Bob. If, on the other hand, she gives n dollars to Bob, then she will have 3 times as much money as Bob. If neither gives the other any money, what is the ratio of the amount of money Alice has to the amount Bob has?

Step-by-step explanation:

Let the A be the amount Alice initially has and B be Bob's initial amount.

#Alice receives $n from Bob:

#Alice gives n to Bob:

#We simultaneously solve the two expressions:

The initial amounts of Alice is -8n and Bob's is -27n

#We find the ratio of Alice:Bob:-

Hence the ration of Alice to Bob is 8:27

step-by-step explanation:

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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.