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dimulka [17.4K]
3 years ago
9

If it takes 1 3/4 m of cloth to make a dress. How many dresses can be made from 10 1/2 m of cloth?

Mathematics
1 answer:
Amanda [17]3 years ago
7 0

Answer:

6

Step-by-step explanation:

1¾ can go into 10½ 6 times

just divide them

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Answer:

Can we have more please??

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3 years ago
Rationalize the denominator of $\displaystyle \frac{1}{\sqrt{2} + \sqrt{3} + \sqrt{7}}$, and write your answer in the form\[
Butoxors [25]

9514 1404 393

Answer:

  57

Step-by-step explanation:

Apparently, you want to simplify ...

  \displaystyle \frac{1}{\sqrt{2} + \sqrt{3} + \sqrt{7}}

so the denominator is rational. It looks like the form you want is ...

  \dfrac{A\sqrt{2} + B\sqrt{3} + C\sqrt{7} + D\sqrt{E}}{F}

And you want to know the sum A+B+C+D+E+F.

__

We can start by multiplying numerator and denominator by a conjugate of the denominator. Then we can multiply numerator and denominator by a conjugate of the resulting denominator.

  \displaystyle =\frac{1}{\sqrt{2} + \sqrt{3} + \sqrt{7}}\cdot\frac{\sqrt{2} + \sqrt{3} - \sqrt{7}}{\sqrt{2} + \sqrt{3} - \sqrt{7}}=\frac{\sqrt{2} + \sqrt{3} - \sqrt{7}}{2\sqrt{6}-2}\\\\=\frac{\sqrt{2} + \sqrt{3} - \sqrt{7}}{2\sqrt{6}-2}\cdot\frac{\sqrt{6}+1}{\sqrt{6}+1}=\frac{(1+\sqrt{6})(\sqrt{2}+\sqrt{3}-\sqrt{7})}{10}\\\\=\frac{\sqrt{2}+\sqrt{3}-\sqrt{7}+2\sqrt{3}+3\sqrt{2}-\sqrt{42}}{10}=\frac{4\sqrt{2}+3\sqrt{3}-\sqrt{7}-\sqrt{42}}{10}

Comparing this to the desired form we have ...

  A = 4, B = 3, C = -1, D = -1, E = 42, F = 10

Then the sum is ...

  A +B +C +D +E +F = 4 + 3 -1 -1 +42 +10 = 59 -2 = 57

The sum of interest is 57.

3 0
3 years ago
Pleaseeeee helpppp!!!
Gnesinka [82]

Answer:

540

Step-by-step explanation:

No matter what the shape, the total amount of degrees in the interior angles in a pentagon is 540. Hope this helps!

4 0
4 years ago
Write an equation of the line in​ point-slope form that passes through the given points. (-2,4) and (6,7)
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Answer:

y=3/8+19/4

Step-by-step explanation:

3 0
2 years ago
It's the computer seice can u help me
Dmitrij [34]

Answer:

I can help you, just tell me what it is.

Step-by-step explanation:

Step 1: Tell me the problem

Step 2: Wait for a response.

5 0
2 years ago
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