4 inches : 25 miles how far are two cities on a map if they are 120 miles apart

Mathematics

1 answer:

katrin2010 [14]3 years ago

7 0

120 miles divided by 25 = 4.8
4.8 x 4 = 19.2 inches

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$x^2-8x+15=2x-6\\\\\text{*** subtract 2x-6 from both sides ***}\\\\x^2-8x-2x+15+6=0\\\\\text{*** simplify ***}\\\\x^2-10x+21=0 \\ \\\text{*** we are looking for two roots where the sum is 10 and the product is 21 = 7 x 3 ***} \\\\x^2-7x-3x+21=x(x-7)-3(x-7)=(x-3)(x-7)=0\\\\\large \boxed{\sf \ \ x= 3 \ or \ x =7 \ \ }$ There are two solutions.