Answer:
15 days
Step-by-step explanation:
Let x be the number of days needed for B to complete the job. Then x-5 is the number of days needed for A to complete the job.
In 1 day,
- A completes
of all work; - B completes
of all work.
Hence, in 1 day both A and B complete 
of all work. A and B working together can do a work in 6 days. Then
Solve this equation:
If 
then 
that is impossible. So, B needs 15 days to complete the work alone.
Hello there! :)
Answer:
First choice, (x + 2) and (x - 6).
Step-by-step explanation:
To solve for the dimensions, recall that the formula for the volume of a rectangle is:
A = l × w
Simply factor x² -4 - 12. Find two numbers that add up to -4 and multiply into -12.
2, -6 satisfy these conditions. Use these numbers to write this equation in factored form:
(x + 2) (x - 6). Thus, the first option is the correct answer.
You can write two equations using the given information:
.. L = W +8
.. L * W = 609
Using substitution, you get a quadratic.
.. (W +8) * W = 609
.. W^2 +8W -609 = 0
Not surprisingly, you're looking for factors of 609 that differ by 8.
.. 609 = 1*609 = 3*203 = 7*87 = 21*29
The last two are the factors of interest.
.. (W +29)(W -21) = 0
The width of the rectangle is 21 feet, the length is 29 feet.
_____
Sometimes it is easier to work with the average dimension. Here, let that be x. Then you have
.. (x +4)(x -4) = 609
.. x^2 -16 = 609
.. x^2 = 625 = 25^2 . . . . . . . one of your memorized math facts
So, the dimensions are
.. 25 +4 = 29 by 25 -4 = 21, that is, 29 ft by 21 ft.
answer:The width of the deck is 22.8 feet.
Step-by-step explanation:
Since we have given that
Area of the deck = 752.4 square feet
Length of deck = 33 feet
Let width of deck be 'x'.
Since Deck is in the shape of rectangle.
As we know the formula for "Area of rectangle ":
\begin{gathered}Area=Length\times width\\\\752.4=33\times x\\\\\dfrac{752.4}{33}=x\\\\22.8=x\end{gathered}
Area=Length×width
752.4=33×x
33
752.4
=x
22.8=x
Hence, the width of the deck is 22.8 feet.
