Find the least common denominator (LCD) for the fractions. 1/12 and 3/4                             

      A. 12 

      B. 4                                              

    C. 16                                              

    D. 48

Answers

Answer 1
Answer: '12' and '48' (choices 'A' and 'D') will both work as common denominators.

The least one is '12' .

Since 4 is a factor of 12, any multiple of 12 is also a multiple of 4 , and can
serve as a common denominator.  The smallest multiple of 12 is 12 itself.
Answer 2
Answer: 1/12
Multiples of 12: 12, 24, 36, 48, 60...

3/4
Multiples of 4: 4, 8, 12, 16, 20, ...

12 is a multiple of both 12 and 4, therefore that will be the LCD.

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The table can be used to determine the solution of equations, 2x − 2y = 6 and 4x + 4y = 28.A table with 6 columns and 2 rows. The first column, Original System has 2 x minus 2 y equals 6 and 4 x plus 4 y equals 28. The second column, Equivalent System, has 4 x minus 4 y equals 12 and 4 x plus 4 y equals 28. The third column, Sum of equations in Equivalent System, has 8 x equals 40. The fourth column, Solution to System, is blank. The fifth column, New System Using Sum, has 4 x plus 4 y equals 28 and 8 x equals 40. The sixth column, Solution to New System is blank.

Which solution can be used to fill in both blanks in the table?

(2, 5)

(5, 2)
(5, −8)
(−8, 5)

Answers

Answer:

(5,2)

Step-by-step explanation:

2x-2y=6\n4x+4y=28

Column 1 :

2x-2y=6..........(1)\n4x+4y=28........(2)

Column 2 :

Eqn(1) *\ 2

4x-4y=12\n4x+4y=28

Column 3 :

Add the equations.

(4x+4x)-4y+4y=12+28\n8x=40

Fourth column :

8x=40\nx=(40)/(8)=5

Fift column :

4x+4y=28\n8x=40

Sixth column :

Substitute x=5.

4* 5+4y=28\n4y=28-20\n4y=8\ny=2

Hence solution is (5,2).

Answer:

I'm terrible at explaining so here's a screenshot

- Ripper

Step-by-step explanation:

HELP FAST PLZ HELP Quick

Answers

The third option I believe

A salesperson at a furniture store earns a 3% commission on all sales. How much commission does the salesperson earn on a $1400 sale?

Answers

if the salesperson earns 3%, then that's 0.03*1400, which equals 42 dollars of commission 
1400 X .03= 42




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Is 5.89 greater than,less than, or equal to 5.9

Answers

5.89 is less the 5.9  because 5.9 has a bigger tenths place 
5.89 is less than 5.9

that is because 5.9 is actually 5.90, as it has an invisible 'zero'. 

Answer: 5.89 < 5.9

Find the surface area of the pyramid

Answers

area of base + (area of triangle surface) = surface area of a pyramid
3 * 3 + (3 * 6 ÷ 2 * 4) = 45
The surface area of the pyramid is 45² yd.

The bird house in your friend's yard casts a shadow that is 14 feet long. Your friend is 5 feet tall and casts a shadow that is 3.5 feet long. What is the height of the bird house?

Answers

Answer:

Bird house is 20 ft. high.

Step-by-step explanation:

Let the height of the bird house is h feet high casts a shadow of 14 ft long.

My friend is 5 feet high and casts a shadow of 3.5 feet.

Now we see both the triangles Δ ABC and Δ XYZ are similar.

By the similar triangles theorem sides opposite to the corresponding angles will be in the same ratio.

(5)/(h)=(3.5)/(14) (from similar triangles ABC and XYZ)

h=(14*5)/(3.5)=(70)/(3.5)=20 ft.

Therefore bird's house is 20 feet high.

Answer:

20 feet high

Step-by-step explanation:

Do the work