Aboy has a lemonade stand with a cash box that has 22 coins in it. if the coins are made up of nickles and
half dollars and have a value of $5.15, how many of each coins does he have in the cash box?
he has
nickles and
half dollars.
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Step-by-step explanation:

Let be "n" the number of nickels the boy has in the cash box and "h" the number of half dollars the boy has in the cash box.

Set up a system of equations:

You can use the Elimination method to solve the system. Multiply the first equation by -0.5, add both equations and then solve for "n":

Finally, substitute the value of "n" into the first equation and solve for "h":

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

~just a girl in love with shawn mendes