X+2y=6
x-y=3x=6-2y
x=3+y
6-2y=3+y
3=3y
y=1
x=3+1
x=4
Answer: (4;1)
Use vertical pipes around the value.
Example:
abs(-4) = |-4| = 4
A door alarm works in 72 out of 100 cases.
surveillance camera works in 68 out of 100 cases.
The probability that method A is used = 72/100
The probability that method B is used = 68/100
Since both method are used we find the probability of A and B
Probability ( A and B) = 
* 
= 
Answer:
A) x = 6 y = 6√3
Step-by-step explanation:
30-60-90 Triangle rule states that the hypothesis is 2x, the short leg is x, and the long leg is x√3. So, the short leg is 12/2 = 6, and the long leg is 6√3.
The answer is: "2.5 years" .
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Note: I = P * r * t ; { " Interest = Principal * rate * time "} ;
→ Solve for "t" {"time", in years} ;
Divide each side of the equation by "{P * r}" ;
to isolate "t" on one side of the equation ;
→ I / (P * r) = {P * r * t) / (P * r} ;
to get: " I / (P * r) = t " ;
↔ t = I / (P * r) ;
Given: I = $450 ;
<span>P = $2400 ;
r = 7.5% = 7.5/100 = 0.075 ;
Plug in these values into the formula to solve for the time, "t" :
</span>→ t = I / (P * r ) ;
= $450 / (<span>$2400 * 0.075) ;
= </span>$450 / ($2400 * 0.075) ;
= $450 / $180 ;
= $45 / $18 ;
= ($45 ÷ 9) / ($18 ÷ 9)
= $5 / $2 ;
= 2.5 ;
→ t = 2.5 years.
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The answer is: "2.5 years" .
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