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Maslowich
3 years ago
13

A number k is less than 3 units from 10. What's the absolute value inequality???

Mathematics
1 answer:
Brrunno [24]3 years ago
6 0

It would be: k+3 = 10

subtracting 3 from both sides,

k+3-3 = 10-3

k=7

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Answer:

<em>Her speed driving in nice weather is 50 mph and in thunderstorm is 32 mph.</em>

Step-by-step explanation:

Barbara drives 50 miles in clear weather and then encounters a thunderstorm for the last 16 miles.

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As she drives 18 mph slower through the thunderstorm than she does in clear weather, so her speed in thunderstorm will be: (x-18) mph

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\frac{50}{x}+ \frac{16}{x-18}=1.5 \\ \\ \frac{50x-900+16x}{x(x-18)}=1.5\\ \\ \frac{66x-900}{x(x-18)}=1.5 \\ \\ 1.5x(x-18)=66x-900\\ \\ 1.5x^2-27x=66x-900\\ \\ 1.5x^2-93x+900=0\\ \\ 1.5(x^2 -62x+600)=0\\ \\ x^2 -62x+600=0\\ \\ (x-50)(x-12)=0

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x-50=0\\ x=50\\ \\ and\\ \\ x-12=0\\ x=12

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Answer:

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