1 )
1st and 2nd equation (multiply 1st by -2 ):
-2x - 10 y + 8 z = 20
2 x - y + 5 z = -9
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- 11 y + 13 z = 11 / * ( -20 )
1st and 3rd:
- 2 x - 10 y + 8 z = 20
2 x - 10 y - 5 z = 0
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- 20 x + 3 z = 20 / * 11
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220 y - 260 z = -220
- 220 y + 33 z = 220
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z = 0, y = -1, x = - 5
2 )
2 x - y + 5 = -4
- 2 x + 3 y - 5 = - 10
Substitution: y = 2 x + 9
- 2 x + 3(2 x + 9 ) = -5
4 x = - 32, x = -8, y = -7, z = 5
3 )
x + y + z = 11
1.5 x+3 y +1.5 z = 21
x = 2 y
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3 y + z = 11 / * (-2)
6 y + 1.5 z = 21
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- 6 y - 2 z = -22
6 y + 1.5 z = 21
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-0.5 z = -1, z = 2, y = 3, z = 6
Answer: the store used 6 pounds of peanuts, 3 pounds of almonds and 2 pounds of raisins.
step-by-step explanation: the increase = 204 - 120
increase = 84
percent increase = 84/120
percent increase = 70% so of course the percentage is 70% ( I hope this helps you )
Answer:
416 g
Step-by-step explanation:
The mean is calculated as
mean = 
, then
= 398 ( multiply both sides by 5 )
sum of 5 pods = 1990 g
let x be the weight of the sixth pod , then
= 401 ( multiply both sides by 6 )
1990 + x = 2406 ( subtract 1990 from both sides )
x = 416
That is the weight of the sixth pod is 416 g
Answer:
The confidence level is 95% or 0.95.
Step-by-step explanation:
Consider the provided information.
Results of a poll stated that 40% of U.S.
If you want to test the claim at alpha = 0.05.
As we know:
Confidence level = 1 - significance level (
)
Confidence level = 
Confidence level = 
Therefore, the confidence level is 95% or 0.95.
