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lukranit [14]
3 years ago
12

Franco owns his landscaping business. He has to plant 425 plants in 47 places. After planting, how many plants will he have left

to take home and plant in his own yard?
Mathematics
1 answer:
Lera25 [3.4K]3 years ago
8 0

Answer:

423

Step-by-step explanation:

Number of trees to be planted = 425

Number of places where equal number of plants are to be planted = 47

The number of plants to be planted in each place is

\dfrac{425}{47}=9.04255...\approx 9

So, in each place 9 trees have to be planted.

Hence, the number of plants he will plant is 47\times 9=423.

Number of trees remaining will be

425-9\times 47=2

So, Franco can take home 2 plants for his own yard.

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Simplify radicals problems attached please help!
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\dfrac{3}{2 +\sqrt{7}}=\dfrac{3}{2+\sqrt{7}}\cdot\dfrac{2-\sqrt{7}}{2-\sqrt{7}}=\dfrac{6-3\sqrt{7}}{2^2-(\sqrt{7})^2}\\\\=\dfrac{6-3\sqrt{7}}{-3}=\sqrt{7}-2

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G9.

\dfrac{2-\sqrt{3}}{3-\sqrt{2}}=\dfrac{2-\sqrt{3}}{3-\sqrt{2}}\cdot\dfrac{3+\sqrt{2}}{3+\sqrt{2}}=\dfrac{(2-\sqrt{3})(3+\sqrt{2})}{9-2}\\\\=\dfrac{6+2\sqrt{2}-3\sqrt{3}-\sqrt{6}}{7}

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<em>Comment on the problems</em>

In most cases, these expressions are the simplest possible (take the least amount of ink to draw, and take the fewest math operations to evaluate). What seems to be intended is that the denominator be made a rational number. This is done by multiplying the given fraction by a fraction equal to 1 that has the same denominator but with the sign of the radical reversed (unless, as in the first case, the radical is by itself).

The purpose of doing this is to take advantage of the fact that (a-b)(a+b) = a²-b², so if "a" or "b" is a square root, that root will not be seen in the product. In problem G9, we see this can make the numerator quite messy--not exactly a simpler form--but all the irrational numbers are in the numerator.

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