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properties with real numbers

i am a fraction between 1/8 and 1/4. the sum of my digits is 10

A fraction equivalent to 45/60 if you were to multiply the denominator by the numerator the product would be 192

given 7sin^2 theta + cos theta sin theta = 6 show that tan^2 theta + tan theta - 6 = 0

A dealer bought some radios for a total of $1,200. She gave away 6 radios as gifts, sold each of the rest for $10 more than she paid for each radio, and broke even. How many radios did she buy?

If a number is added to the numerator of 5/6 and twice as much is added to the denominator, the result is 3/5 Find the number?

sexual reproduction