X = number of days it would take Kate to paint the house by herself. .
<span>x+5 = number of days it would take Jean to paint the house by herself.</span>
<span>Together, they paint the house in 6 days: </span>
<span>1/x + 1/(x+5) = 1/6 </span>
<span>Multiply both sides by 6x(x+5) </span>
<span>6(x+5) + 6x = x(x+5) </span>
<span>12x + 30 = x^2 + 5x </span>
<span>x^2 − 7x − 30 = 0
</span>therefore the answer is A.
Answer:
7.0 x 10 to the 6th
Step-by-step explanation:
Answer:
Step-by-step explanation:
3.5 miles/(29.4 minutes)
26 miles × (29.4 minutes)/(3.5 miles) = 218.4 minutes
218.4 minutes × (1 hour)/(60 minutes) = 3.64 hours
<span>Because there are 20 coins plus four bars = 24 items to choose. You want to choose where to put the four bars, thus C(24,4). There are four bars, not five. Note that four bars divide the 20 coins into five sections. Five bars would divide it into six, but we only have five different kinds of coins to choose from.</span>
