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Orlov [11]
3 years ago
9

The least common denominator of two fractions is 12 If you add the two denominators their sum is 7 What are the denominators

Mathematics
1 answer:
Katarina [22]3 years ago
4 0
4 and 3

The LCM of these two numbers is 12.
Added together, their sum is 7.
You might be interested in
What's the answer anyone know?
Katyanochek1 [597]
The answer is -2/6
Hope this helps
5 0
3 years ago
(04.03 MC)
Vlad1618 [11]

Answer:

x = -2 and y = 3

{y = -3 x - 3, y = (3 x)/4 + 9/2} = x = -2 and y = 3

Step-by-step explanation:

Solve the following system:

{6 x + 2 y = -6

3 x - 4 y = -18

Express the system in matrix form:

(6 | 2

3 | -4)(x

y) = (-6

-18)

Solve the system with Cramer's rule:

x = -6 | 2

-18 | -4/6 | 2

3 | -4 and y = 6 | -6

3 | -18/6 | 2

3 | -4

Evaluate the determinant 6 | 2

3 | -4 = -30:

x = -6 | 2

-18 | -4/(-30) and y = 6 | -6

3 | -18/(-30)

Simplify -6 | 2

-18 | -4/(-30):

x = -1/30 -6 | 2

-18 | -4 and y = 6 | -6

3 | -18/(-30)

Simplify 6 | -6

3 | -18/(-30):

x = -(-6 | 2

-18 | -4)/30 and y = -1/30 6 | -6

3 | -18

Evaluate the determinant -6 | 2

-18 | -4 = 60:

x = (-1)/30×60 and y = -(6 | -6

3 | -18)/30

(-1)/30×60 = -2:

x = -2 and y = -(6 | -6

3 | -18)/30

Evaluate the determinant 6 | -6

3 | -18 = -90:

x = -2 and y = (-1)/30×-90

(-1)/30 (-90) = 3:

Answer: x = -2 and y = 3

___________________________________________

Solve the following system:

{y = -3 x - 3

y = (3 x)/4 + 9/2

Express the system in standard form:

{3 x + y = -3

-(3 x)/4 + y = 9/2

Express the system in matrix form:

(3 | 1

-3/4 | 1)(x

y) = (-3

9/2)

Write the system in augmented matrix form and use Gaussian elimination:

(3 | 1 | -3

-3/4 | 1 | 9/2)

Add 1/4 × (row 1) to row 2:

(3 | 1 | -3

0 | 5/4 | 15/4)

Multiply row 2 by 4/5:

(3 | 1 | -3

0 | 1 | 3)

Subtract row 2 from row 1:

(3 | 0 | -6

0 | 1 | 3)

Divide row 1 by 3:

(1 | 0 | -2

0 | 1 | 3)

Collect results:

Answer:  {x = -2 , y = 3

5 0
3 years ago
2x - y - 4 = 0<br><br> 3x + y - 9 = 0<br><br><br><br> What is the solution set of the given system?
Ad libitum [116K]

Answer:

(\frac{13}{5};\frac{6}{5}).

Step-by-step explanation:

1)\left \{ {{5x=13} \atop {y=2x-4}} \right.  \ 2)\left \{ {{x=\frac{13}{5} } \atop {y=\frac{6}{5} }} \right.

short explanation: 1) to add the 1st equation to the 2d; 2) to calculate the value of 'x', then to substitute x=13/5 into the 2d equation and calculate the value of 'y'.

5 0
3 years ago
In the standard normal curve, the mean is____ and a standard deviation of ____ .
mariarad [96]

Answer:

Standard normal curve is 0.

Standard deviation is 1.

3 0
3 years ago
In the town of clover, 3 out of 5 citizens who are eligible to vote did so in the fall election.
ArbitrLikvidat [17]

Answer:

A

Step-by-step explanation:

The amount that actually voted is irrelevant to the question because you cant use the ratio

4 0
3 years ago
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