Two numbers are in the ratio 3:2. if 5 subtracted to each
1 answer:
Answer:
3 and 2
Step-by-step explanation:
The ratio of the 2 numbers = 3 : 2 = 3x : 2x ( x is a multiple )
When 5 is subtracted from both , that is
3x - 5 : 2x - 5 = 2 : 3
Expressing the ratio in fractional form
=
( cross- multiply )
3(3x - 5) = 2(2x - 5) ← distribute both sides
9x - 15 = 4x - 10 ( subtract 4x from both sides )
5x - 15 = - 10 ( add 15 to both sides )
5x = 5 ( divide both sides by 5 )
x = 1
Thus the 2 numbers are
3x = 3(1) = 3 and 2x = 2(1) = 2
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Swap both sides: 1100 · 1.7^n = 7000
Divide both sides by 1100: 1.7^n = 70/11
Concert decimal to a fraction: (17/10)^n = 70/10
Take the log of both sides. (Put 17/10 into the subscript of log like the picture shows)
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Swap both sides: 1100 · 1.7^n = 7000
Divide both sides by 1100: 1.7^n = 70/11
Concert decimal to a fraction: (17/10)^n = 70/10
Take the log of both sides. (Put 17/10 into the subscript of log like the picture shows)
The answer is the decimal.