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wlad13 [49]
3 years ago
11

Find three consecutive even numbers whose sum is 1884.

Mathematics
1 answer:
Scilla [17]3 years ago
5 0

Answer:

smallest number=626

middle number=628

larger number=630

Step-by-step explanation:

To find the numbers, let's use n as the variable. Since we know that the numbers are consecutive even numbers, we know that they increase by 2. For example, we could have 2+4+6=12.

Knowing that the consecutive numbers increase by two's, we can use this.

smallest number: n

middle number: n+2

larger number: n+4

All we have to do is add these together and set it equal to 1884.

n+(n+2)+(n+4)=1884          [combine like terms]

3n+6=1884                         [subtract both sides by 6]

3n=1878                              [divide both sides by 3]

n=626

Now that we know n=626, we also know that the other numbers are 626, 628, 630 respectively.

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Convert 3,250 mL to L.<br><br> 3.25 L<br> 0.325 L<br> 3,250,000 L<br> 325,000 L
Sergio [31]

Answer:

3.25 L

Step-by-step explanation:

1L=1000mL

3250ml x1L/1000mL = 3.25L

6 0
3 years ago
For question 3, use the Pythagorean Theorem.
Juliette [100K]

Step-by-step explanation:

can't really use the Pythagorean because you don't know this is a right triangle.

use the fact that they are similar

so

3/6 = x/12 where x is FE

cross multiply

6x = 36 therefore FE = 6

then 6/12 = y/9 where y is FD

cross multiply

12y = 54 = 54/12 therefore FD = 4.5

3 0
3 years ago
Please explain this to me!
Charra [1.4K]
One meaning of a 'linear' equation is that if you draw the graph
of the equation, the graph will be a straight line.

That's an easy way to test the equation . . . find 3 points on the
graph, and see whether they're all in a straight line.

This equation is        y  =  4 / x .

To find a point on the graph, just pick any number for 'x',
and figure out the value of 'y' that goes with it.
Do that 3 times, and you've got 3 points on the graph.

Here ... I'll do 3 quick points:

Point-A:  x = 1     y =  4 / 1    =  4
Point-B:  x = 2     y =  4 / 2    =  2
Point-C:  x = 4     y =  4 / 4    =  1

Look at this:

Slope of the line from point-A to point-B
                         = (change in 'y') / (change in 'x') =  -2 .

Slope of the line from point-B to point-C
                         = (change in 'y') / (change in 'x') =  -1/2 .

The two pieces of line from A-B and from B-C don't even have
the same slope, so they're not pieces of the same straight line !
So my points A, B, and C are NOT in a straight line.

So the equation is NOT linear.

Try it again with three points of your own.
5 0
3 years ago
Consider each equation. is it the equation of the line that is parallel or perpendicular to y=3x+2? Select yes or no for a-c
Mkey [24]

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 2 is in this form with slope m = 3

• Parallel lines have equal slope

• The slopes of perpendicular lines are negative reciprocals of each other

A

y = - \frac{1}{3} x - 8 has slope m = - \frac{1}{3}

3 and - \frac{1}{3} are negative reciprocals

This line is perpendicular to y = 3x + 2

B

y = 3x - 10 has slope m = 3

This line is parallel to y = 3x + 2

C

y = 2x + 4 has slope m = 2

This line is neither parallel nor perpendicular to y = 3x + 2


5 0
3 years ago
Sarah paid a food bill of 13.74 with a $20 bill how many change was she owed
slamgirl [31]
6.26 because 20 subtract 13.74= 6.26
6 0
3 years ago
Read 2 more answers
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