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:
Step-by-step explanation:
4x² - 8x= 0
4x(x -2) = 0
: 4x = 0 or x - 2 = 0
4x = 0
Dividing by 4
x = 0/4
x = 0
And
x - 2 = 0
x = 2
Answer:
Total cost of the car including tax=$4,066
Step-by-step explanation:
Sales tax rate=7%
Price of the car=$3800
Sales tax=7% of 3800
=7/100×3800
=$266
Total cost of the car=price of the car+ sales tax
=$3800+$266
=$4,066
there are two expressions that can represent the length of the rectangle, these two expressions are:
L = x
or
L = (4x + 12)
<h3>
Which expression could represent the length of the rectangle?</h3>
Remember that for a rectangle of length L and width W, the area is given by:
A = L*W
In this case, we know that the area is:

We can factorize that expression into:

So there are two expressions that can represent the length of the rectangle, these two expressions are:
L = x
or
L = (4x + 12)
If you want to learn more about rectangles:
brainly.com/question/17297081
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Answer:
-274
Step-by-step explanation: