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:36 16
Step-by-step explanation:
Answer:
1/2(3)-2/3(8)
3/2-9/3
<u>3</u>-<u>9</u>
2.3
<u>9</u><u>-</u><u>3</u><u>2</u>
6
<u>-23</u>
6
9514 1404 393
Answer:
9c² -4p²
Step-by-step explanation:
The product of a sum and difference of the same two terms is the difference of their squares:
(3c +2p)(3c -2p) = 3c(3c -2p) +2p(3c -2p)
= (3c)² -6cp +6cp -(2p)²
= (3c)² -(2p)² = 9c² -4p²
Answer:
Option C is correct.

Step-by-step explanation:
Let x be the distance cover by Michelle
Given:
A circle diameter is 3 miles.
And Michelle biked around the trail 4 times.
We know that
The circumference of a circle.
circumference =
----------(1)
where 
miles
Put
and r value in equation 1.


The circumference of a circle is 9.42 miles.
And Michelle biked 4 times, that is equal to 4
circumference.

.
That is equal to 38 miles.
Therefore, Michelle biked around 4 trail is 38 miles.