Answer:
two different shades of what I think is pink.
1/3 is equal to 2/6 which is equal to 3/9
1/2 is equal to 2/4 which is equal to 4/8
The bolded ones are the original mixtures given.
Start with 1/3 Multiply top and bottom by 2 and you get 2/6
When you multiply top and bottom of 1/3 by by 3 you get 3/9
Use the same idea for 1/2
Step-by-step explanation:
Start with 1/3 Multiply top and bottom by 2 and you get 2/6
When you multiply top and bottom of 1/3 by by 3 you get 3/9
Use the same idea for 1/2.
We could say that dimes = x and quarters = 60 -x
Then we use the value of the coins
10(x) + 25(60-x) = 945
I did 945 because I am doing this in cents not dollars but the answer would still work because it is asking for the amount of coins.
10x + 1500 - 25x = 945
-15x = -555
x = 37
Dimes = x = 37
Quarters = 60 - x = 60 -37 = 23
Answer:
95
Step-by-step explanation:
Let x represent the ones digit. The tens digit will be higher, because reversing the digits results in a lower number. Its value is (14 -x). The given relation is ...
(10(14-x) +x) -(10x +(14 -x)) = 36 . . . . reversing the digits gives 36 less
140 -9x -9x -14 = 36 . . . . eliminate parentheses
90 = 18x . . . . . . . . add 18x-36
5 = x . . . . . . ones digit
14-5 = 9 . . . tens digit
The original number is 95.
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<em>Check</em>
95 -59 = 36
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<em>Additional comment</em>
The difference in value when the digits of a 2-digit number are reversed is always 9 times the difference in the digits. This means the difference in the digits is 36/9 = 4. Since the sum of digits is 14, the two digits are (14+4)/2 = 9 and (14-4)/2 = 5. 95 is the number of interest.
The solutions to a "sum and difference" problem are half the sum and half the difference of the given sum and difference. That is how we know the larger digit is (1/2)(14 + 4), for example.
We worked this "the hard way" using the above equation. It can actually be worked in your head if you're familiar with these generic solutions.
Answer:
why stop this dude
Step-by-step explanation:
