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":

step-by-step explanation:

most likely the answer is a.

alice wins if a total of 5 is rolled. finn wins if a total of 9 is rolled.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.