Answer:
44.452
Step-by-step explanation:
Using the Pythagorean theorem you can use:
51^2 = 25^2 + w^2
2601 = 625 +w^2
w^2 = 1976
w = 44.452
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
------------------------
- 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.
Answer:
-x - 3
Step-by-step explanation:
Step-by-step explanation:
A portion of the Quadratic Formula proof is shown. Fill in the missing statement. Statements Reasons x² + x + b 4ac 4a? b? 4a² Find a common denominator on the right side of the equation a 2a X? + b 2a b? =4ac 4a? Add the fractions together on the right side of the equation a b2 - 4ac x+ Rewrite the perfect square trinomial on the left side of the equation as a binomial squared 2a 4a 2 Take the square root of both sides of the equation Vb -4ac x+ b 2a + 4a b - 4ас X + 2a + 4a 4ac + 2a 4a 1o ano 4a
Answer:
a. £24,714.29
b. £16,833.33
Step-by-step explanation:
The calculation of mean income is given below:-
Mean income = Total addition of salaries ÷ Number of workers
= £9,500 + £25,000 + £13,250 + £72,000 + £12,750 + £29,500 + £11,000
= £173,000 ÷ 7
= £24,714.29
Now,
the Mean income excluding Deva's salary:
= Formula of Mean income
= Total addition of salaries excluding Deva salary ÷ Number of workers
= (£9,500 + £25,000 + £13,250 + £12,750 + £29,500 + £11,000) ÷ 6
= £101,000 ÷ 6
= £16,833.33
