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kenny6666 [7]
3 years ago
10

The sum of three consecutive odd numbers is 81. Find the numbers.

Mathematics
2 answers:
Sindrei [870]2 years ago
8 0

Answer:three consecutive odd numbers are 25; 27; 29

suppose: the smallest number is x ( x > 0),(x ∈ N)

because 3 numbers are three consecutive odd numbers

=> The next 2 terms respectively are x + 2; x + 4

have: The sum of three consecutive odd numbers is 81

=> x + x + 2 + x+ 4 = 81

⇔ 3x + 6 = 81

⇔ 3x = 81 - 6

⇔ 3x = 75

⇔ x = 25

=>  three consecutive odd numbers are 25; 27; 29

Step-by-step explanation:

zimovet [89]2 years ago
6 0

Answer:

The 3 odd, consecutive numbers are 25, 27, and 29.

Step-by-step explanation:

When you add these 3 numbers you will get 81.

25 + 27 = 52

52 + 29 = 81

Therefore, 25 + 27 + 29 = 81

Hope this helps!!

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D (x^7/2)(y^-5/3)

Step-by-step explanation:

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In a certain neighborhood, there's a sagging power line between two utility poles. The utility poles are 50 feet tall and 120 fe
e-lub [12.9K]
<h3>Answer:  33.75 feet</h3>

In fraction form, this value is equal to 135/4

33.75 ft is equivalent to 33 ft, 9 inches.

===============================================

Explanation:

Refer to the diagram below.

The key point to start with is point H, which is the vertex of the parabola.

Recall that vertex form is

y = a(x-h)^2 + k

What we'll do is plug in the vertex (h,k) = (60,30) which is the location of point H. We'll also plug in (0,45) which is the y intercept, aka the location of point C.

So,

y = a(x-h)^2 + k

y = a(x-60)^2 + 30 .... plug in vertex

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45 = a(-60)^2 + 30

45 = a(3600) + 30

45 = 3600a + 30

45-30 = 3600a

3600a = 15

a = 15/3600

a = 1/240

This then means:

y = a(x-h)^2 + k

y = (1/240)(x-60)^2 + 30

This is the equation of our parabola. Plug in x = 30 to determine the height of point K

y = (1/240)(x-60)^2 + 30

y = (1/240)(30-60)^2 + 30

y = (1/240)(-30)^2 + 30

y = (1/240)(900) + 30

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y = 135/4

y = 33.75

Therefore, the height of the power line, when it is 30 feet away from one of the poles, is 33.75 feet. This is the y coordinate of point K.

Side note: 33.75 ft = 33 ft + 0.75 ft = 33 ft + 12*0.75 in = 33 ft + 9 inches

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2 years ago
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Answer: Option 'B' and 'C' are correct.

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Inverse property of multiplication is that property in which we write a number in reciprocal form .

Whole numbers starts from 0 and Natural numbers start from 1 and Integers contain both positive and negative numbers.

Hence, \frac{1}{5} belongs to rational numbers sets and inverse property of multiplication sets.

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