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ch4aika [34]
3 years ago
5

Twice the smallest of three consecutive odd integers is three more than the largest. Find the integers. (Enter your answers as a

comma-separated list.)
Mathematics
1 answer:
Alex73 [517]3 years ago
7 0
Answer: 1, 3, 5

let x represent the smallest consecutive odd integer

2x + 3 = x + 4
2x - x = 4 - 3
x = 1

therefore the lowest integer is 1, making the other two 3 and 5.
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6.A = 23 × 3 × 5 B = 22 × 3 × 52
frez [133]

Given:

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A=23\times 3\times 5

B=22\times 3\times 52

To find:

The highest common factor (HCF) of A and B

Solution:

We have,

A=23\times 3\times 5               ...(i)

B=22\times 3\times 52

All the factors of A are prime but the factors of B are not prime. So, it can be written as

B=2\times 11\times 3\times 13\times 2\times 2          ...(ii)

From (i) and (ii), it is clear that 3 is the only common factor of A and B. So,

HCF(A,B) = 3

Therefore, the highest common factor (HCF) of A and B is 3.

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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Find the area of the missing piece of the polygon and explain your process for finding it:
Otrada [13]

Answer:

42

Step-by-step explanation:

In short, the sum of the opposite areas are equal.

x + 30 = 24 + 48

x = 42

To prove this, draw a line from each corner to the "center" where the four lines meet.  Along each side of the square are two triangles.  These triangles have the same base and the same height, and therefore have the same area.

If we say the triangles at the bottom have area a, the triangles on the left have area b, the triangles on top have area c, and the triangles on the right have area d, then we can write 4 equations:

a + b = x

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c + d = 30

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Adding the first and third equations:

a + b + c + d = x + 30

Adding the second and fourth equations:

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Therefore:

x + 30 = 24 + 48

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3 years ago
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Multiply the number of minutes in an hour(60) by 4.5
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