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2 years ago

How many of the positive integer factors of 15552 are perfect squares?

Mathematics

2 answers:

Aleonysh [2.5K]2 years ago

8 0

Answer:

9 of the positive integer factors of 15552 are perfect squares

podryga [215]2 years ago

7 0

Answer: 9 integers factors

Step-by-step explanation:

Let's first find the factor of 15552

15552 / 2 = 7776

7776 / 2 = 3888

3888 / 2 = 1944

1944 / 2 = 972

972 / 2 = 486

486 / 2 = 243

273 / 3 = 81

81 / 3 = 27

27 / 3 = 9

9 / 3 = 3

3 / 3 = 1

Some of the factors of 15552 are:

2×2×2×2×2×2×3×3×3×3×3

4×4×4×9×9×3

4^2 × 9^2 × 4 × 3

The factor that are perfect square are:

4, 9, 16, 36, 64, 81, 144, 576, 1296

Therefore, 9 of the positive integer factors of 15552 are perfect squares.

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3 years ago

Read 2 more answers

Line segment AB has endpoints A(-1.5, 0) and B(4.5 8). Point C is on line segment AB located at (0, 2)

Pie

Answer:

The ratio of AC/CB=1/3

Step-by-step explanation:

We use the section formula:

$(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})$

We substitute the point A(-1.5,0) and B(4.5,8).

We plug in the points to get:

$(\frac{4.5m - 1.5n}{m+n},\frac{8m+n \times 0}{m+n})$

This is supposed to be equal to: (0,2).

$(\frac{4.5m - 1.5n}{m+n},\frac{8m+n \times 0}{m+n}) = (0,2)$

We can equate, corresponding coordinates to find m and n.

$\frac{4.5m - 1.5n}{m + n} = 0$

This implies that:

$4.5m - 1.5n = 0$

$4.5m = 1.5n$

$\frac{m}{n} = \frac{1.5}{4.5}$

$\frac{m}{n} = \frac{1}{3}$

Therefore the ratio is m:n=1:3

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2 years ago

There are two red jars of marbles and one blue jar of marbles jars of a certain color have the same number of marbles in them. T

satela [25.4K]

We can set up an equation to solve this problem. I am setting the number of marbles in a red jar to R.

R + R + R - 16 = 41

We solve this by adding 16 to both sides and combining all of the R terms.. This gives us:

3R = 57

We can finish this problem by dividing both sides by 3.

R = 19. So, there are 19 marbles in a red jar.

We can easily figure out how many marbles are in a blue jar by subtracting the total amount of marbles in 2 red jars from the total amount of marbles. I am setting the amount of marbles in a blue jar to B.

41 - 19*2 = B

B = 3

So, there are 3 marbles in a blue jar and 19 marbles in a red jar.

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3 years ago