All categories

1 year ago

Find three consecutive odd integers whose sum is 489

Mathematics

2 answers:

mote1985 [20]1 year ago

7 0

Answer:

161, 163, 165

Step-by-step explanation:

x + x+2 + x +4 =489.

This is how we calculate three consecutive odd integers!

Combine like terms:

3x+6=489

3x=483

x=161

Three numbers are:

161, 161+2, 161+4.

161, 163, 165

miss Akunina [59]1 year ago

4 0

Answer:

162, 163, and 164.

Step-by-step explanation:

Here we will use algebra to find three consecutive integers whose sum is 489. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 489. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 489

To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:

X + X + 1 + X + 2 = 489

3X + 3 = 489

3X + 3 - 3 = 489 - 3

3X = 486

3X/3 = 486/3

X = 162

Which means that the first number is 162, the second number is 162 + 1 and the third number is 162 + 2. Therefore, three consecutive integers that add up to 489 are 162, 163, and 164.

162 + 163 + 164 = 489

We know our answer is correct because 162 + 163 + 164 equals 489 as displayed above.

You might be interested in

Please help been stuck on this hw question ALLL DAYYYYYY

Rama09 [41]

Answer:

1 5/9

Step-by-step explanation:

9 1/3 can be rewritten as 28/3. The question is asking for you to divide 28/3 by 6. 6 is 6/1, so the expression is 28/3 divided by 6/1. You then do the reciprocal of 6/1 and the expression is $\frac{28}{3} * \frac{1}{6}$ . This gets you 28/18, which is simplified to 14/9 or 1 5/9. Hope this helps!

8 0

3 years ago

Read 2 more answers

15. Complete the indirect proof.

blondinia [14]

I know 17. The formula for INTERIOR angles is 180(n-2) divided by n. therefore 180(6-2) / 6 = 180 x 4 / 6 = 720 / 6 = 120.

and EXTERIOR angles is 360 divided by n, therefore 360/6 = 60.

3 0

2 years ago

Read 2 more answers

PLEASE HELP ME!!!!

Contact [7]

The equation of a line that passes through (x1,y1) and has a slope of m is
y-y1=m(x-x1)

find slope

slope between (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
given
(-3,2) and (2,1)
slope=(1-2)/(2-(-3))=(-1)/(2+5)=-1/5

pikc a point
if we pick (-3,2)
(x1,y1)
x1=-3
y1=2

y-2=-1/5(x-(-3))
y-2=-1/5(x+3)
that is D

5 0

2 years ago

What’s is a angle defined

Mashutka [201]

Answer:

the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.

7 0

2 years ago

A line passes through the point (–6, –3) and has a slope of 2/3 . Which point is on the same line?

navik [9.2K]

Answer:

The point (0, 1) represents the y-intercept.

Hence, the y-intercept (0, 1) is on the same line.

Step-by-step explanation:

We know that the slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given

The point (-6, -3)

The slope m = 2/3

Using the point-slope form

$y-y_1=m\left(x-x_1\right)$

where

m is the slope of the line

(x₁, y₁) is the point

In our case:

m = 2/3

(x₁, y₁) = (-6, -3)

substituting the values m = 2/3 and the point (-6, -3) in the point-slope form

$y-y_1=m\left(x-x_1\right)$

$y-\left(-3\right)=\frac{2}{3}\left(x-\left(-6\right)\right)$

$y+3=\frac{2}{3}\left(x+6\right)$

Subtract 3 from both sides

$y+3-3=\frac{2}{3}\left(x+6\right)-3$

$y=\frac{2}{3}x+4-3$

$y=\frac{2}{3}x+1$

comparing with the slope-intercept form y=mx+b

Here the slope = m = 2/3

Y-intercept b = 1

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

Given the line

$y=\frac{2}{3}x+1$

at x = 0, y = 1

Thus, the point (0, 1) represents the y-intercept.

Hence, the y-intercept (0, 1) is on the same line.

5 0

2 years ago