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amm1812
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?
Mathematics
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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Step-by-step explanation:

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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

Step-by-step explanation:

If you had 75 feet of PVC and paid 111.50 you would pay 1.48 a foot for each PVC but if you paid 135.25 for 100 feet you would pay 1.35 a foot which in turn would become cheaper.  

7 0
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}

3 0
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.
3 0
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.

5 0
3 years ago
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