Abag contains only 50 cent coins and $1 bills. the total amount of money in the bag is $36. if there are twice as many 50 cents coins as $1 bills, how many 50 cents coins are in the bag?

The total number of 50 cent coins in the bag = 36.

Step-by-step explanation:

Let x be the number of 50 cents coins and y be the number of $1 bills.

We have been given that the total amount of money in the bag is $36. We can represent this information as:

We are also told that there are twice as many 50 cents coins as $1 bills. We can represent this information as:

Now we will use substitution method to solve our given system of equations. Upon substituting equation (2) in equation (1) we will get,

Now let us substitute y=18 in equation (2) to find our x.

Therefore, there are 36 fifty cent coins in the bag.

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step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: