Why is 12 (m+n) equivalent to 12m + 12n

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Answer 1
Answer: because 12(m=n) means that you are multiplying 12 times m and 12 times n. So if there is a number outside of parenthesis it gets multiplied by all the nu,beds in the parenthesis.
12(1+2)
36 either way. that is proof. if you want more proof use any number in replace of n and m
Answer 2
Answer: Because of the distributive property. You multiply the outside number (12) by the variables inside the parentheses (m and n). Then you add them together, so you get 12m+12n. 
You can check it by plugging in numbers for m and n, then solving it both ways. You will get the same answer.

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Jerry mowed a patch of lawn with an area of 100 square yards in 20 minutes. At this rate, how long would it take him to mow the entire lawn, which is 240 square yards in area? A. 24 min B. 48 min C. 140 min D. 160 min

What is 5/6, 11 5/6, 3/10, 12 3/10, 5/16, and 8 5/18 in decimal form?

Answers

0.83, 11.83, 0.3, 12.3, 0.3125, 8.27777778

How do u do this? I need the answer ASAP

Answers

Angle x is 100 degrees because the opposite angle is 80 degrees and they must add up to 180 degrees.
Angle X is 100 degrees because when you are adding up to 180 degrees, subtract the angle you already know from 180 and you will have your answer. 100 degrees

Find the area of each shape by decomposing it into smaller shapes, and combining their area.

Answers

you can divide this picture into 2 pieces, 1 rectangle and 1 triangle.

To find the rectangle, since the opposite sides are equal to each other, the width=6.

the length is 8.
 
to find the area, use the formula

A = lw

A= 8 x 6

A = 48 units square

that's for rectangle.

for the triangle, use the formula

A = h x b / 2

height=10-6 = 4

base is 8 because the opposite sides are equal in rectangle.

Substitute height and base in the formula.

A= 4 x 8 / 2

A= 32/2

A=16 units square

That's the area of triangle.

Now, you can add the area of rectangle and triangle.

Total area = area of rectangle + area of triangle

A = 48 + 16

A = 64 units square

I need help on this question

Answers

1 bushel = 186 heads of lettuces

multiply each side by 6

6 bushels = 1,116 heads of lettuces

The farmer picked 1,116 heads of lettuces

Please help. I'm stuck.

Answers

The root √(10) can be converted into the power 10^{ (1)/(2) }. Therefore we can rewrite the problem as (10^{ (1)/(2) } )^ {(3)/(4) x} and then follow the exponent rules about a power to a power, multiplying 1/2 and 3/4 together.

Thus the problem becomes 10^{(3)/(8)x}, which then can be turned into \sqrt[8]{10} ^(3x), making the last option our answer.

In geometry words describe a way to seperate triangles Into other triangles

Answers

start at one of the vertices and draw a line from there to a point on the oposite side, not ending at another vertex
There are many ways of dividing a triangle, two ways are mentioned below.

Method 1: Dividing a triangle into triangle of three equal areas

After trisecting one side of the triangle connect the two points that trisect the side to the opposite vertex which will make all three triangles have the same length of base and height.

Method 2: Dividing a triangle into two

This method is pretty simple if you are just going straight down the middle to make the two triangles of even base and height.

I hope this helps. If any false information was given I apologize in advance.