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Kisachek [45]
2 years ago
11

4/9÷1 7/15

Mathematics
1 answer:
guajiro [1.7K]2 years ago
6 0

9514 1404 393

Answer:

  10/33

Step-by-step explanation:

The usual approach (if your calculator won't do this for you) is to convert the mixed number to an improper fraction, then perform the division. That division can be accomplished by multiplying the numerator by the inverse of the denominator.

  1 7/15 = (15+7)/15 = 22/15

Then ...

  (4/9)/(22/15) = (4/9)(15/22) = (2·2·3·5)/(3·3·2·11) = (2·5)/(3·11) = 10/33

_____

<em>Alternate solution</em>

Both fractions can be given the same denominator:

  4/9 = 20/45

  1 7/15 = 22/15 = 66/45

Now, the division is ...

  (20/45)/(66/45) = 20/66 = 10/33

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Answer:

x(2x + 3) + (x - 3) (x - 4) = 3x²- 4x + 12

Step-by-step explanation:

<em>Expand:</em>

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<em>Expand</em>:

(x - 3) (x - 4):  x²- 7x + 12

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<em>Simplify:</em>

2x² + 3x + x² - 7x + 12:  3x² - 4x + 12

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5 0
3 years ago
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Answer:

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Step-by-step explanation:

In order to find the amount that he can drive in one day and only pay $250, we have to write an equation for the cost. Using x as the miles he drive, we can express the equation as:

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Now, we can plug in 250 for y.

250 = .33x + 24.95

225.05 = .33x

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Since we are looking for only whole miles, we have to round down to 681.

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3 years ago
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Step-by-step explanation:

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