Answer:
3.25
Step-by-step explanation:
13÷4=3.25
Everyone gets 3.25 kg of chocolate
Answer:
189
Step-by-step explanation:
let the number be n , then number multiplied by itself is n² and
n² = 567 × 63 = 35721 ( take square root of both sides )
n =
= 189
Answer: x = 2 ; -11 .
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Explanation:
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Given the equation:
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x² + 9x −<span> 22 = 0 ; Solve for: "x" ;
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Let us factor the "left-hand side" of the equation:
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"x</span>² + 9x −<span> 22" ;
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What are the factors of "-22"" that add up to "positive 9" ?
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Let us list the factors of "-22" :
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-2, 11; </span>→ -2 + 11 = 9 ;<span>
-11, 2; </span>→ -11 + 2 = -9 ;<span>
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So we have: "-2" and "11" ;
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So; </span> "x² + 9x − 22" ; factors into " (x−2)(x + 11)" ;
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We have: (x−2)(x + 11) = 0 ;
So: x − 2 = 0 ;
Add "2" to each side of the equation;
x − 2 + 2 = 0 + 2 ;
x = 2 ;
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x + 11 = 0 ;
Subtract "11" from each side of the equation;
x + 11 − 11 = 0 − 11 ;
x = -11 ;
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Answer: x = 2 ; -11 .
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Answer:
25
Step-by-step explanation:
Given the indicinal equation
5^-1/5^-3
According to one of the law of indices, if a, b, m and n are integers then;
a^m/a^n = a^(m-n)
When the base are equal, the powers will be subtracted.
Applying this formula to the given expression
5^-1/5^-3
= 5^{-1-(-3)}
= 5^(-1+3)
= 5^2
= 25
Therefore the answer is 25