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Leona [35]
3 years ago
8

Multiply. Write the answer in lowest terms. 5/7 x 11/7 x 5/6

Mathematics
2 answers:
marusya05 [52]3 years ago
6 0
Hi

5/7 × 11/7 × 5/6 = 55/49 × 5/6 = 275/294

5/7 × 11/7 = (5×11)/(7×7) = 55/49
55/49 × 5/6 = (55×5)/(49×6) = 275/294 (irreducible)

Answer: 275/294
pshichka [43]3 years ago
4 0
5/7 * 11/7 * 5/6

Multiply straight across

5*11*5 = 55*5 = 275
7*7*6 = 49*6 = 294

Answer:  275/294  
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The answer is below

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The bottom of a river makes a V-shape that can be modeled with the absolute value function, d(h) = ⅕ ⎜h − 240⎟ − 48, where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet). A ship risks running aground if the bottom of its keel (its lowest point under the water) reaches down to the river bottom. Suppose you are the harbormaster and you want to place buoys where the river bottom is 20 feet below the surface. Complete the absolute value equation to find the horizontal distance from the left shore at which the buoys should be placed

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d(h)=river \ bottom\\\\The \ river \ bottom=-20\ feet(below)\\\\d(h) = -20\\\\\frac{1}{5}|h-240|-48=-20\\ \\\frac{1}{5}|h-240|=-20+48\\\\\frac{1}{5}|h-240|=28\\\\|h-240|=28*5\\\\|h-240|=140\\\\h-240=140\ or\ h-240=-140\\\\h=140+240\ or\ h=-140+240\\\\h=380\ or\ h=100\\\\The\ buoys\ should\ be\ placed\ at\ 100\ feet\ and\ 380\ feet\ from\ left-hand\ shore

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Solution is in the picture

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