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:
14
Step-by-step explanation:
21 divided by 3 =7 7 per 1/3
7x2=14
Answer:
34 games
Step-by-step explanation:
let the number of losses be 
let the number of victories be 
<u>the Phoenix murmur had 12 more victories than losses:</u>

<u>The number of victories they had was one more than two times the number of losses:</u>

<em>We have 2 expressions for
, equating these 2, we can solve for
:</em>

So 11 games, they lost.
Using this value, we can plug into the 1st equation to solve for v:

So 23 games, they won.
Given that no draws, they played a total of 23 + 11 = 34 games this season
Answer:
They are equal
Step-by-step explanation:
Using the rule of exponents
= 
Given
=
= 
The exponents of both expression are 8 and therefore equal
Answer:
C- all numbers less than 13.
Why these are incorrect:
A- If it was "less than or equal to" the sign would have to be "≤"
B- If it was 'greater than or equal to" the sign would have to be "≥"
D- If it was "greater than" the sign would have to be ">"