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marusya05 [52]
2 years ago
12

For all positive integers n, let *n* equal the greatest prime number that is a divisor of n. What does *10*/*12* equal?

Mathematics
1 answer:
artcher [175]2 years ago
4 0

9514 1404 393

Answer:

  5/3

Step-by-step explanation:

The prime factorizations are ...

  10 = 2·5

  12 = 2·2·3

Then *10* = 5 and *12* = 3, so *10*/*12* = 5/3.

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How many solutions does the equation 4s + 8 = 3 + 5 + 4s have?
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The answer is none.

Step-by-step explanation:

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2 years ago
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Timothy has a fenced-in garden in the shape of a
sattari [20]

Answer:

From the attached graphic we see that

rhombus side =   Sqr Root [(Long Diagonal / 2) ^ 2 + (Short Diagonal / 2) ^ 2]

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rhombus side =   Sqr Root [144 + 81]

rhombus side =  Sqr Root (225)

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7 0
3 years ago
One number is 10 times as large as another, and their difference is 81. Find the numbers.
marysya [2.9K]

Answer:

90

Step-by-step explanation:

10x - x = 81

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x = 9

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6 0
3 years ago
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A cone with a diameter of 12 inches has a volume of 640.88 cubic inches. find the height of the cone
BlackZzzverrR [31]

Answer:

The height of the cone is 17\ in

Step-by-step explanation:

we know that

The volume of a cone is equal to

V=\frac{1}{3}\pi r^{2}h

In this problem we have

r=12/2=6\ in ----> the radius is half the diameter

V=640.88\ in^{3}

assume \pi=3.14

substitute the values and solve for h

640.88=\frac{1}{3}(3.14)(6)^{2}h

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8 0
3 years ago
Directions:Use the product rule to simplify the following monomials.
nadezda [96]

Answer: -12m^3n^3

Step-by-step explanation:

\frac{1}{4}\left(8mn\right)\left(-6m^2n^2\right)

=-\frac{1}{4}\cdot \:8mn\cdot \:6m^2n^2

=-\frac{1}{4}\cdot \:48mnm^2n^2

=-\frac{1}{4}\cdot \:48m^3nn^2

-\frac{1}{4}\cdot \:48m^3n^3

=-12m^3n^3

6 0
3 years ago
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