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If A over B is a fraction in simplest form with A and B counting numbers and a terminating decimal form why must B be a factor of a power of 10?
Suppose A/B equals a decimal fraction F, which has d digits after the decimal place and then terminates.Then (A/B)*10D = F*10D is an integer.That is A*10D/B is an integer.A and B are coprime so they have no factor in common and therefore B must divide 10D.
What is the answer for 3c - 4d equals 6d plus 4c?
3c - 4d = 6d + 4c Subtract 4c from both sides: -c - 4d = 6d Add 4d to both sides: -c = 10d or c = - 10d
In shoe size of 10D what does the D stand for?
D means 'standard or medium' as opposed to C which is 'narrow
You have 5.15 in dimes and quarters you have eight more quarters than dimes how many quarters do you have?
q = d + 8. 10d + 25q = 515 so 10d + 25d + 200 = 515 ie 35 d = 315 so d = 9 and q = 17 Check 9 x 10 + 17 x 25 = 90 + 425 = 515 QED
Vivian has 4.50 all in quarters and dimes She has twice as many dimes as quarters How many of each coin does she have?
Let d= number of dimesq= number of quartersd=2q.25q+.10d=4.50.25q+.10(2q)=4.50.25q+.20q=4.50.45q=4.50q=10d=2qd=2(10)d=20Therefore, there are 10 quarters totaling $2.50 and 20 dimes totaling $2.00.
