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KATRIN_1 [288]
3 years ago
15

Ed bought a bottle of fancy mustard that holds 8.5 ounces .ed puts about 1/25 of mustard on each hot dog he eats.how much of the

mustard is left in the Boyle after he eats 7 hot dogs.
Mathematics
1 answer:
guajiro [1.7K]3 years ago
3 0
I don't know if you found the answer for this since it's been 5 hours since you posted this but I hope this helps. So to figure out the amount of mustard on each hot dog you would divide 8.5 ounces by 25. So... 8.5/25 is .34. So he puts .34 ounces of mustard on each dog. So if he eats 7 hot dogs he uses 2.38 ounces of mustard. (7 x .34). Then you just subtract that amount from 8.5, so 8.5 - 2.38 = 6.12. So there is 6.2 ounces of mustard left after he eats 7 hot dogs. Again I hope this helps since it's been so long since the question was asked :) (he also has enough mustard left in the bottle to eat 18 more hot dogs with the same amount of mustard on them)
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A bouncing ball reaches a height of 54 inches at its first peak, 36 inches at its second peak, and 24 inches at its third peak.
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Solve the rational equation: 2x/x-4-2x-5/x^2-10x+24=-3/x-6
jek_recluse [69]

Answer:

D. X=6.08, x=-0.58

Step-by-step explanation:

Given the rational expression

\frac{2x}{x-4}-\frac{2x-5}{x^2-10x+24} = \frac{-3}{x-6}\\\frac{2x}{x-4}-\frac{2x-5}{x^2-4x-6x+24} = \frac{-3}{x-6}\\\frac{2x}{x-4}-\frac{2x-5}{x(x-4)-6(x-4)} = \frac{-3}{x-6}\\ \\\frac{2x}{x-4}-\frac{2x-5}{(x-4)(x-6)} = \frac{-3}{x-6}\\Rerrange;\\\frac{2x-5}{(x-4)(x-6)}  =  \frac{2x}{x-4}+ \frac{3}{x-6}\\\frac{2x-5}{(x-4)(x-6)}  =  \frac{2x(x-6)+3(x-4))}{(x-4)(x-6)}\\

Cancel out the denominator on both sides

2x-5 = 2x(x-6)+3(x-4)\\Expand\\2x-5 =2x^2-12x+3x-12\\2x-5 = 2x^2-9x-12\\Equate \ to \ zero\\2x^2-9x-12-2x+5 = 0\\2x^2-11x - 7 = 0\\

Factorize

x = -(-11)\pm\frac{\sqrt{(-11)^2-4(2)(-7)} }{2(2)}\\x =  11\pm\frac{\sqrt{121+56} }{4}\\x = 11\pm\frac{\sqrt{177} }{4}\\x = 11\pm\frac{13.3 }{4}\\x = \frac{11+13.3}{4} \ and \ x = \frac{11-13.3}{4} \\x = 6.08 \ and \ - 0.58

Hence the required solution is X=6.08 and -0.58

7 0
3 years ago
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