Math Help. Please Explain! Best Answer 10 Points!!!?

Question

How many ways can you have coins that total exactly 37cents.

The coins are-

1 penny. 1 nickle. 1 dime. 1 quarter.

List all possibilities and how you got the answers!

YOU CAN USE EACH COIN MORE THAN ONCE...

37 PENNIES : 1 QUARTER 1 DIME 2 PEENIES.

Answer 1

"Making a detailed list is the key to this problem. One hint that makes the numbers a little easier to work with is to realize that we can really solve the problem by counting the ways to get to just 35 cents. Once we have these ways, we would just add two pennies to each of them. Using one quarter, there are 4 ways. If we don’t use a quarter, there are 2 ways using exactly three dimes, 4 ways using exactly two dimes and 6 ways using exactly one dime. If we don’t use dimes or quarters, there are 7 ways if we use at least one nickel. Then there is 1 way that uses only pennies. This is a total of 4 + 2 + 4 + 6 + 7 + 1 = 24 ways"

SINCE you only have one dime, quarter, nickle and penny, we have to alter this a bit. 4+6+7+1 =18. Hope this helps.

Answer 2

2 pennies 1 dime 1 quarter
2 pennies 2 nickels 1 quarter
7 pennies 1 nickel 1 quarter
12 pennies 1 quarter
2 pennies 1 nickel 3 dimes
2 pennies 3 nickels 2 dimes
2 pennies 5 nickels 1 dime
2 pennies 7 nickels
7 pennies 3 dimes
7 pennies 2 nickels 2 dimes
12 pennies 1 nickel 2 dimes
12 pennies 3 nickels 1 dime
12 pennies 5 nickles
17 pennies 2 dimes
17 pennies 2 nickels 1 dime
17 pennies 4 nickels
22 pennies 1 nickel 1 dime
22 pennies 3 nickels
27 pennies 1 dime
27 pennies 2 nickels
32 pennies 1 nickel
37 pennies

i think these 22 are all of the possible answers

i just got the answers by addition

Answer 3

can't be done with only 1 penny you will only get answers with 1 or 6 cents not 7

Answer 4

for a popular equation utilising the variables x and y, slope intercept form appears like this: y = m*x + b the place m is the slope and b is the intercept (on the y-axis). right here's a thank you to get there: 5*y - 3*x = 30 5*y = 3x + 30 y = 3/5*x + 6 3/5 is the slope, and six is the intercept.

Answer 5

You can't make 37 cents with those coins.