9) If two ropes measure 3 2/3 yards and 8/9 yard, how much longer is the first

Mathematics

1 answer:

jenyasd209 [6]3 years ago

3 0

Think of two ropes next to each other. Draw a picture if it helps. To find how much longer, start with the longer one and subtract the shorter length to get the difference, or “how much longer.”
To subtract fractions they have to be changed to the same denominator. First change 3 2/3 to a complex fraction; multiply the coefficient 3 times the denominator 3, then add the numerator. 3X3=9. 9+2=11 . 11 is now numerator, use same denominator. So you get 11/3. Then change denominator to 9. To do this you have to multiply by what? You would multiply by 3. Do the same to the numerator: 11 X 3=33. The fraction becomes 33/9. Now you can subtract. Now that both have the same denominator, you just subtract the numerators. 33-8=25. So, 33/9-8/9= 25/9

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ASAP!!! PLEASE help me with this question!

Aloiza [94]

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6 0

3 years ago

A company's profit C (in thousands of dollars) can be modeled by the polynomial function C = - 5x ^ 3 + 6x ^ 2 + 15x , where x i

steposvetlana [31]

Answer:

849 items.

Step-by-step explanation:

Given that the profit C (in thousands of dollars) for x thousands of items related as

$C = - 5x ^ 3 + 6x ^ 2 + 15x \\\\\Rightarrow -5x^3+6x^2+15x -C=0\cdots(i)$

As the profit is $14,000 for producing 2000 items, so

C= 14 thousand dollars and

x= 2 thousand items.

Putting C= 14 in the equation ( we have),

$-5x^3+6x^2+15x -14=0\cdots(ii)$

Now, x=2 is one of the solutions to the equation (ii), so (x-2) is a factor of the equation (ii), we have

$(x-2)(-5x^2-4x+7)=0 \\\\\Rightarrow x-2=2 \; or \; -5x^2-4x+7=0$

We have the given solution for x-2=0, so sloving -5x^2-4x+7=0 for other solutions.

$-5x^2-4x+7=0 \\\\\Rightarrow x= \frac {-(-4)\pm \sqrt {(-4)^2-4\times (-5)7}}{2\times (-5)} \\\\\Rightarrow x= \frac {4\pm \sqrt {156}}{2\times (-5)} \\\\\Rightarrow x= \frac {4\pm 12.49}{2\times (-5)} \\\\\Rightarrow x = \frac {4+ 12.49}{2\times (-5)}, \frac {4- 12.49}{2\times (-5)} \\\\\Rightarrow x = -1.649, 0.849$