There are 4 standard U. S. coins. If a person has one of each. How many different amounts of money can the person give someone using 3 coins?

The different amounts of money can the person give someone using 3 coins are {$0.16, $0.31, $0.36 and $0.40}.

Step-by-step explanation:

The four standard US coins are:

The values of these coins in US dollars are as follows:

Now it is said that a person has one coin of each type.

The person needs to give 3 coins to someone.

The number of ways in which he can select 3 coins from these 4 is:

So there are 4 different ways to give 3 coins from 4.

The person can select 3 coins as follows:

{P, N, D}, {P, N, Q}, {P, D, Q} and {N, D, Q}

Compute the total amount of these selections as follows:

{P, N, D} = $0.01 + $0.05 + $0.10 = $0.16

{P, N, Q} = $0.01 + $0.05 + $0.25 = $0.31

{P, D, Q} = $0.01 + $0.10 + $0.25 = $0.36

{N, D, Q} = $0.05+ $0.10 + $0.25 = $0.40

Thus, the different amounts of money can the person give someone using 3 coins are {$0.16, $0.31, $0.36 and $0.40}.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

whatvare the choices

step-by-step explanation: