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3 years ago

The sum of three consecutive odd integers. what are the three integers

Mathematics

2 answers:

ikadub [295]3 years ago

6 0

Answer:

I dont know

Step-by-step explanation:

STALIN [3.7K]3 years ago

3 0

Answer:

Complete step-by-step answer:

Sum of 3 consecutive odd numbers is equal to 51.

Let the odd number be ‘x’. Then the next consecutive odd number becomes ‘x + 2’ and the next term becomes x + 2 + 2 = ‘x + 4’.

Now the sum of these three odd consecutive terms = x + x + 2 + x + 4 = 3x + 6.

According to the given, 3x + 6 = 51.

⟹3x = 51 – 6

⟹x =453=15.

Hence, the numbers are 15, 17 and 19.

Note: In order to solve this type of questions the key is to consider a variable to be odd and compute the sum of three consecutive odd numbers in terms of this variable. Then by solving for this variable we can determine the numbers. Any odd number added with 2 gives an odd number itself.

Step-by-step explanation:

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What is 45 as a fraction?

Rama09 [41]

A whole number is always written as itself over one.

45/1

Answer: 45/1

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3 years ago

Before beginning voice lessons, Wanda already knew how to sing 19 pieces, and she expects to learn 1 new piece during each week

irakobra [83]

Answer:

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Step-by-step explanation:

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3 years ago

36x+72xy+27xy factor the expression.

nexus9112 [7]

Answer:

9x(4+8y+3y)

Step-by-step explanation:

36x+72xy+27xy

9x(4+8y+3y)

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3 years ago

Among all right circular cones with a slant height of 24, what are the dimensions (radius and height) that maximize the volum

aleksklad [387]

Answer:

5571.99

Step-by-step explanation:

We need to use the Pythagorean theorem to solve the problem.

The theorem indicates that,

$r^2+h^2=24^2 \\r^2+h^2=576\\r^2=576-h^2$

Once this is defined, we proceed to define the volume of a cone,

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

Substituting,

$v=\frac{1}{3} \pi (576-h^2)h\\v=\frac{1}{3} \pi (576h-h^3)$

We need to find the maximum height, so we proceed to calculate h, by means of its derivative and equalizing 0,

$\frac{dv}{dh} = \frac{1}{3} \pi (576-3h^2)$

$\frac{dv}{dh} = 0$ then $\rightarrow \frac{1}{3}\pi(576-3h^2)=0$

$h_1=-8\sqrt{3}\\h_2=8\sqrt{3}$

<em>We select the positiv value.</em>

We have then,

$r^2 = 576-(8\sqrt3)^2 = 384\\r=\sqrt{384}$

We can now calculate the maximum volume,

$V_{max}= \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (\sqrt{384})^2 (8\sqrt{3}) = 5571.99$

4 0

3 years ago

I NEED REAL HELP IF NOT REAL GET BANNED

kari74 [83]

Answer:

Every minute, the hour hand moves 1/2 of a degree, and the minute hand moves 6 degrees. So in 48 minutes, the hour hand moves 24 degrees and the minute hand moves 288 degrees. 288-180-24=84. So, 84 degrees.

6 0

3 years ago