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2 years ago

The sum of three consecutive intergers is 189 what are the integers

Mathematics

1 answer:

lesya [120]2 years ago

7 0

Answer:

62, 63, 64

Step-by-step explanation:

The middle integer of three consecutive integers will be the average of them. That is, it will be their sum, divided by 3.

The middle integer is 189/3 = 63.

The three consecutive integers are 62, 63, 64.

_____

<em>Additional comment</em>

If you'd like to write an equation that tells you the same thing, let x represent the middle integer. Then the lower one is x-1, and the upper one is x+1. Their sum is ...

(x-1) +x +(x+1) = 189

3x = 189 . . . . . . . . . . . . simplify

x = 189/3 = 63 . . . . . . . divide by the coefficient of x

(x-1) = 63-1 = 62 . . . . . . find the other two integers

(x+1) = 63+1 = 64

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In Exercises 27 and 28, find the domain of the function

Natali5045456 [20]

Question 27

The graph on question 27 indicates that there are three points with the locations such as:

(2, 6)

(4, 12)

(6, 18)

In other words, there are three points that lie on the graph with the x-values such as:

{(2, 6), (4, 12), (6, 18)}

We know that the domain includes the set of x-values.

Hence, the domain of the function is:

Domain: {2, 4, 6}

Since the points are not connected between them. In other words, there is not a continuous line.

Thus, the function represented on the graph has a discrete domain.

Question 28

The graph on question 27 indicates that the line segment with the end-points (0, 25) and (7, 20).

Since there is a continuous line between the points from x = 0 to x = 7.

Thus, the domain of the line function is:

Domain: {0, 1, 2, 3, 4, 5, 6, 7}

As the line segment is a continuous line. Thus, the domain is continuous.

3 0

3 years ago

Can someone help me plz and thank u

alexandr402 [8]

Answer:

<A = 44

Step-by-step explanation:

A triangle is 180 degrees

(x+59) + (x+51) + 84 = 180 >> add everything on the left side

2x + 194 = 180 >> subtract both sides by 194

2x = -14 >> divide both sides by 2 to get x alone

x = -7

since you are finding A<, substitute

<A = x + 51

<A = (-7) + 51

<A = 44

3 0

3 years ago

Find the value of x such that 365 based seven + 43 based x = 217 based 10.

Pepsi [2]

We need to find the base x in the following equation:

$365_7+43_x=217_{10}$

First, lets convert 365 from base 7 to base 10. This is given by

$365_7=3\times7^2+6\times7^1+5\times7^0$

where the upperindex denotes the position of eah number. This gives

$\begin{gathered} 365_7=3\times49+6\times7+5\times1 \\ 365_7=147+42+5 \\ 365_7=194_{10} \end{gathered}$

that is, 365 based 7 is equal to 194 bases 10.

Now, lets do the same for 43 based x. Lets convert 43 based x to base 10:

$43_x=4\times x^1+3\times x^0$

where again, the superindex 0 and 1 denote the position 0 and 1 in the number 43. This gives

$43_x=(4x+3)_{10}$

Now, we have all number in base 10. Then, our first equation can be written in base 10 as

$194_{10}+(4x+3)_{10}=217_{10}$

For simplicity, we can omit the 10 and get

$194+4x+3=217$

so, we can solve this equation for x. By combining similar terms. we have

$197+4x=217$

and by moving 197 to the right hand side, we obtain

$\begin{gathered} 4x=217-197 \\ 4x=20 \end{gathered}$

Finally, we get

$\begin{gathered} x=\frac{20}{4} \\ x=5 \end{gathered}$

Therefore, the solution is x=5

8 0

1 year ago

Log5 4+log5 2x=log5 24

I am Lyosha [343]

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3 years ago

1. Using the drawing, if the measure of angle 2 is 42° and the measure of angle 3 is 52°, what is the measure of angle 6?

Ann [662]

first is 86

we know because of the sum of the interior angles of a triangle being 180, and that 5 + 6 =180

4 0

3 years ago

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