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3 years ago

2/3-1/6=? Pls help I suck at fractions

Mathematics

2 answers:

Andru [333]3 years ago

5 0

Answer:

1/2

Step-by-step explanation:

so 2/3 you want it as a common fraction so 3*2=6

then yo do it for the top 2*2=4

4/6-1/6=3/6

3/6=1/2

hope this helps

Stells [14]3 years ago

4 0

Answer:

1/2

Step-by-step explanation:

2/3 - 1/6 = 4-1/6 = 3/6, Cancel the common factor 3 and you get 1/2.

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Which system of equations is consistent and dependent?

MAXImum [283]

Answer:

Step-by-step explanation:

4x − y = −11

2x + 3y = 5

lets multiply the second equation by -2 and add it to the first:

4x − y = −11

-4x - 6y = -10

------------------

0 - 7y = -21

y = -21/-7

y = 3

now we substitute this result in the first equation to find x:

4x − y = −11

4x - 3 = -11

4x = -8

x = -8/4

x = 2

so the solution is y = 3 and x =2

4x − 9y = −21

−10y = −30

we solve for y

−10y = −30

y = -30/-10

y = 3

and substitute in the first equation:

4x − 9y = −21

4x − 9(3) = −21

4x - 27 = -21

4x = 6

x = 6/4 = 3/2

so the solution is x = 3/2 and y = 3

4x + 3y = 5

2y = −6

we solve for y:

2y = −6

y = -6/2

y = -3

we do substitute in the first equation:

4x + 3y = 5

4x + 3(-3) = 5

4x - 9 = 5

4x = 14

x = 14/4

x = 7/2

so the solution is x = 7/2 and y = -3

7x − 3y = −11

9x = −6

we solve for x:

9x = −6

x = -6/9

x = -2/3

then we substitute in the first equation the result found:

7x − 3y = −11

7(-2/3) − 3y = −11

-14/3 - 3y = -11

we multiply by 3 to eliminate fractions:

-14 - 9y = -33

9y = 19

y = 19/9

so the solution is x = -2/3 and y = 19/9

12x − 3y = −33

14x = −28

we solve for x:

14x = −28

x = -28/14

x = -2

then we substitute in the first equation:

12x − 3y = −33

12(-2) − 3y = −33

-24 - 3y = -33

3y = 9

y = 3

then the solution is x = -2 and y = 3

3 0

3 years ago

Read 2 more answers

184 is what percent more than 148

Alika [10]

It is 36 percent more

7 0

2 years ago

3. (05.06 MC)

AveGali [126]

Answer:

Step-by-step explanation:

y > 3x + 10

y < -3x - 1

You'd graph the given systems of linear inequalities the same way as you graph the linear equations.

To graph y > 3x + 10, plot the y-intercept, (0, 10), then use the slope, m = 3 (rise 3, run 1), to plot other points on the graph. Use a dashed line (because of the ">" symbol).

Follow the same steps for the other linear inequality. Plot the y-intercept, (0, -1), then use the slope, m = -3 (down 3, run 1) to plot other points. Use a dashed line (because of the "<" symbol).

Pick a test point on either side of the boundary line and plug it into the original problem. This will help determine which side of the boundary line is the solution. Plug in a test point that is not on the boundary line.

Use the point of origin, (0, 0) as the test point. Plug in these values into the given systems of linear inequalities to see whether it will provide a true statement.

y > 3x + 10

0 > 3(0) + 10

0 > 0 + 10

0 > 10 (False statement).

y < -3x - 1

0 < -3(0) - 1

0 < 0 - 1

0 < -1 (false statement).

Since the point of origin provided a false statement to the given systems of linear inequalities, you must shade the half-plane region where it doesn't contain the test point.

You'll do the same process as what I've done for the test point. Plug in the values of (8, 10) into the given systems of linear inequalities. If it provides a false statement, then it means that it is not a solution to the system.

y > 3x + 10

10 > 3(8) + 10

10 > 24 + 10

10 > 34 (False statement).

y < -3x - 1

10 < -3(8) - 1

10 < -24 - 1

10 < -25 (false statement).

Therefore, (8, 10) is not a solution to the system.