Paul's age = 6 years + Corinne's age
<span>(Paul's age - 10 years) = 3 times (Corinne's age - 10 years) </span>
<span>Let's rewrite it so it's cleaner: </span>
<span>P = 6 + C </span>
<span>P - 10 = 3(C - 10) </span>
<span>Question is P = ? years. </span>
<span>P = ? = 6 + C </span>
<span>We need to know what C is... the second equation can tell us: </span>
<span>P - 10 = 3C - 30 </span>
<span>P + 20 = 3C </span>
<span>P/3 + 20/3 = C </span>
<span>So now we know what C is... we can replace it into the first equation: </span>
<span>P = 6 + [P/3 + 20/3] </span>
<span>we just need to simplify now... it's easiest to get rid of the fractions first: </span>
<span>3P = 18 + P + 20 </span>
<span>2P = 38 </span>
<span>P = 19 </span>
<span>Answer is Paul's age is now 19 years.</span>
Answer:
13.76ft²
Step-by-step explanation:
Side of square: d=8ft
Area of board: Sb=d×d=64ft²
Area of circle: Sc=pi×r²=pi×(d/2)²=pi×d²/4=pi×64/4= 16×pi=50.24ft²
Remainin area: Sb-Sc=64-50.24=13.76ft²
Answer:
-√2+√6/4
Step-by-step explanation:
