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victus00 [196]
3 years ago
6

Find two consecutive odd integers whose sum is 111

Mathematics
2 answers:
notka56 [123]3 years ago
8 0
The two odd numbers who’s sum is 111 are 53.5 and 57.5.
VARVARA [1.3K]3 years ago
7 0

Answer:

54.5 and 56.5

Step-by-step explanation:

To solve this, we need to know the meaning of the term 'consecutive odd integers'

Consecutive odd integers are odd odd integers which follow each other in the pattern such as; 1, 3, 5, 7,9,11,13,15------etc

This implies they take the form n, n+2, n+4, n+6, n+8, n+10--------etc where n is an odd number.

Haven gotten the above definition, we will now proceed to solve the question.

we are ask to find the two consecutive odd numbers whose sum is 111

let the two numbers be n and n+2

n + n+2 =111

2n + 2 = 111

subtract 2 from both-side of the equation

2n + 2 - 2 = 111 -2

2n = 109

Divide both-side of the equation by 2

\frac{2n}{2}   =  \frac{109}{2}

(at the left-hand side of the equation 2 will cancel-out 2, leaving us with just n and on the right-hand side of the equation 109 will be divided by 2)

n = 54.5

The first number is n=54.5

The second number is n+2 = 54.5 + 2 =56.5

Therefore, the two consecutive numbers whose sum is 111 is 54.5 and 56.5

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forsale [732]

Answer:

One: Median = 2

Two: Mean = 3.25

Step-by-step explanation:

One

Put the dots in order

1 1 1 2 2 3 3

There are seven groups altogether.

The middle one is a 2.

The median is 2.

Two

The mean is the average.

The average of the 4 groups is

1 3 6 3 = 13

The average is the sum of the dots.

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8 0
3 years ago
Find the length of the third side. If necessary, round to the nearest tenth.
SVETLANKA909090 [29]

Answer:

Adjacent, b = 5.3 units

Step-by-step explanation:

Let the length of sides of the triangle be;

  • Opposite side = a
  • Adjacent side = b
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From the right-angle triangle, we can deduce the following data;

Hypotenuse, c = 8

Opposite, a = 6

To find the length of the adjacent (third) side, we would have to apply Pythagorean' theorem.

From Pythagorean theorem;

c² = a² + b²

Substituting into the formula, we have;

8² = 6² + b²

64 = 36 + b²

Rearranging the equation (collecting like terms), we have;

b² = 64 - 36

b² = 28

Taking the square root of both sides, we have;

b = √28

<em>Adjacent, b = 5.3 units</em>

5 0
3 years ago
The segments shown below could form a triangle ac=9. cb=8. ba=17
krek1111 [17]
The lengths of sides of a triangle have to satisfy the triangle inequality, which states that the sum of the two shorter sides must exceed the length of the third side.

Here 9+8=17 (not greater), so these segments do not form a triangle.
8 0
3 years ago
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Svetach [21]

Answer:

x = 8√5

Step-by-step explanation:

In the figure attached, there are three right angle triangles.

So, by Pythagoras theorem,

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y² + 16 = z²------(1)

Similarly x² = 16² + y²--------(2)

and (16 + 4)² = x² + z²

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Now we put the value of z² from equation 1 to equation 3

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x² + y² = 384

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Now we put the value of y² from equation 4 to equation 2

x² = 16² + 384 - x²

2x² = 256 + 384

2x² = 640

x² = 320

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Therefore x = 8√5 will be the answer.

8 0
3 years ago
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Lelechka [254]

Answer:

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