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Lostsunrise [7]
3 years ago
8

Omar is on a diet to lose some weight. He is losing weight at a rate of 2 pounds per week. After 6 weeks, his weight is 204 poun

ds. Linear equation and how many weeks it will take Omar to reach his target weight of 189 pounds.
Mathematics
1 answer:
bekas [8.4K]3 years ago
8 0
Our basis would be 204 pounds. His original weight, 6 week ago, must be

204 + 2(6) = 216 pounds

But, we have to find the number of weeks having known the present weight (204 pounds) and the target weight (189). The linear equation would be

Target \ weight = \ Present \ weight \ -2(number \ of \ weeks)

189 = 204 - 2(number of weeks)
Number of weeks = (204-189)/2
Number of weeks = 7.5

The total number of weeks would then be 6 weeks + 7.5 weeks. It would take Omar 13 and a half weeks since he started his diet to reach his target weight.
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three numbers are in an arithmetic progression. Their sum is 3 and the sum of their squares is 11. what are the three numbers
Vlad [161]

The three numbers are 12, 18 and 24

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Let the 3 number in arithmetic progression be:

a-d, d, a+d ...

If their sum is 3, then;

a-d+d+a+d = 3

2a + d = 3 ........... 1

If the sum of their squares is 11, then;

(a-d)² + d² + (a+d)² = 11

a²-2ad+d²+d²+a²+2ad+d²  11

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Hence the three numbers are 12, 18 and 24

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2 years ago
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Simora [160]

Answer:

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Hope this helps.

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