There are 22 ways to make change from a dollar using nickels, dimes, and quarters.
1. 4 q
2. 10 d
3. 20 n
4. 2 q , 5 d
5. 3 q , 2 d , 1 n
6. 1 q , 7 d, 1 n
7. 9 d, 2 n
8. 8 d, 4 n
9. 7 d, 6 n
10. 6 d , 8 n
11. 5 d , 10 n
12. 4 d , 12 n
13. 2 d , 16 n
14. 1 d , 18 n
15. 5 n , 3 q
16. 3 n , 1 q , 6 d
17. 7 n , 1 q , 4 d
18. 9 n , 1 q , 3 d
19. 11 n , 1 q , 2 d
20. 13 n , 1 q , 1 d
21. 14n , 3 d
22. 15n , 1 q
To make change for 75 cents using only nickels (5 cents) and dimes (10 cents), we can express the total amount in terms of the number of each coin. Let ( n ) be the number of nickels and ( d ) be the number of dimes. The equation is ( 5n + 10d = 75 ) or simplified as ( n + 2d = 15 ). The values of ( d ) can range from 0 to 7 (since ( 2d ) must be less than or equal to 15), which gives us 8 possible values for ( d ) (0 through 7), leading to a total of 8 combinations of nickels and dimes.
translation of graphs , try that :)
help me please
That would be a pleasant diversion. Sadly, however,you've neglected to give us the "given" set.
A mathematical phrase that includes operations, numbers, and/or variables is called an "algebraic expression." For example, the expression (3x + 5 - 2y) consists of numbers (3, 5, -2), variables (x, y), and operations (addition, subtraction). Algebraic expressions can represent a variety of mathematical relationships and can be simplified or evaluated for specific values of the variables.
To make change for 75 cents using only nickels (5 cents) and dimes (10 cents), we can express the total amount in terms of the number of each coin. Let ( n ) be the number of nickels and ( d ) be the number of dimes. The equation is ( 5n + 10d = 75 ) or simplified as ( n + 2d = 15 ). The values of ( d ) can range from 0 to 7 (since ( 2d ) must be less than or equal to 15), which gives us 8 possible values for ( d ) (0 through 7), leading to a total of 8 combinations of nickels and dimes.
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