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3 years ago

10

Sally can paint a room in 7 hours while it takes Steve 4 hours to paint the same room. How long would it take them to paint the

room if they worked together?

1 answer:

crimeas [40]3 years ago

4 0

The formula for this is
worker 1 * worker 2 / worker 1 + worker 2

7 * 4 / 7 + 4 =
28 / 11 =
2.54 hours

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3 years ago

75 feet of PVC pipe for $111.50 OR 100 feet of PVC pipe for $135.25

kozerog [31]

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100 Feet of PVC for 135.25

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3 years ago

I need help in partial fraction!! With simple explaination would be nice!

WITCHER [35]

$\dfrac{x^4-7x^2+17x-10}{x(x^2-3)}$

The degree of the numerator (4) is larger than the degree of the denominator (3), so first you need to divide. (Added screenshot of long division procedure.)

$\dfrac{x^4-7x^2+17x-10}{x(x^2-3)}=x-\dfrac{4x^2-17x+10}{x(x^2-3)}$

Now the second term can be decomposed into partial fractions.

$\dfrac{4x^2-17x+10}{x(x^2-3)}=\dfrac{r_1}x+\dfrac{r_2x+r_3}{x^2-3}$
$\dfrac{4x^2-17x+10}{x(x^2-3)}=\dfrac{r_1(x^2-3)+x(r_2x+r_3)}{x(x^2-3)}$
$4x^2-17x+10=r_1(x^2-3)+x(r_2x+r_3)$
$4x^2-17x+10=(r_1+r_2)x^2+r_3x-3r_1$
$\implies\begin{cases}r_1+r_2=4\\r_3=-17\\-3r_1=10\end{cases}\implies r_1=-\dfrac{10}3,r_2=\dfrac{22}3,r_3=-17=-\dfrac{51}3$
$\implies\dfrac{4x^2-17x+10}{x(x^2-3)}=-\dfrac{10}{3x}+\dfrac{22x-51}{x^2-3}$

So

$\dfrac{x^4-7x^2+17x-10}{x(x^2-3)}=x+\dfrac{10}{3x}-\dfrac{22x-51}{x^2-3}$

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3 years ago

To make purple paint, Sofia mixes 1 1/6 cups blue paint and 1/3 cup red paint. How much red paint does Sofia need to make 4 cups

Roman55 [17]

1 1/3 cups of red paint.

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2 years ago

What is the sign of e + d when e > 0 and d 0?

Artemon [7]

9514 1404 393

Answer:

(B) Negative

Step-by-step explanation:

You can try an example:

c = 1, d = -1

c/d = 1/-1 = -1 . . . . negative

_____

<em>Additional comment</em>

The sign of the result of multiplication and/or division of any number of factors will be negative if there are an odd number of minus signs involved. It will be <em>positive</em> if there are an <em>even</em> number of minus signs involved.

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3 years ago