Suppose you are decorating 2 frames with yarn. You want the 2 pieces of yarn to be the exact same size. Which 2 pieces of yarn should you use? Draw a number line to show how you found your answer?

Answers

Answer 1

Answer: I need more information what is the size of the yard or how big is the frame I can't do anything with the numbers that's given I'm sorry I would help you but its really complicated without those numbers

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A 36 inch board is cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 5 times as long as the first piece. If X represents the length of the first piece, find the lengths of all three pieces

Answers

Answer:

First piece = 4 inch, second piece = 12 inch , third piece = 20 inch

Step-by-step explanation:

Length of the board = 36 inch

Let, the length of the first piece = X

So, according to the question

Second piece = 3 times X = 3x

Third piece = 5 times X = 5X

Now, first piece + second piece + third piece = total length of the board

⇒ X + 3X+ 5X = 36 inch

or, 9X = 36 inch

or, X = 36/9 = 4 inch

So, length of the : First piece = 4 inch

Second Piece = 3X = 3 x 4 = 12 inch

Third piece = 5X = 5 x 4 = 20 inch

What is 1 5/12 + 4 1/6 in its simplest form?

Answers

The answer is 5 7/12, here's why:

First convert the mixed numbers into improper fractions to make it simpler to deal with.

1 5/12 = 17/12
4 1/6 = 25/6

Now make them equivalent.

17/12 can stay the same,
25/6 can become 50/12

Now it's just 17/12 + 50/12
Just add the numerators!
17/12 + 50/12 = 67/12

All we have to do from here is simplify 67/12.
12 goes into 67 5 times, with a remainder of 7.
5 becomes the whole number, and our fraction is the remainder (7) over 12.

So 67/12 = 5 7/12.
This is as simplified as the answer can get.

Hope this helps!

How many solutions does the equation y + 12 = y + 10 + 2 have?Zero
One
Two
Infinitely many

Answers

Infinitely many, because if you simplified the right side, it would equal the left side.

Answer:

Infinitely many

Step-by-step explanation:

i just took the test

0.6 is greater than 0.5 or less please help

Answers

.6 is greater than .5 just like how 6 is greater than 5. If it's negative though, its the opposite!

0,6 ...... 0,5

6/10 ..... 5/10

6/10 > 5/10

Write an equation of the line that passes through a pair of points (-5, -2), (4, 5)

Answers

Hello!

First of all we need to find the slope. We can use the equation below.

$( y_(2)- y_(1) )/( x_(2) - x_(1) )$

The ones and twos just represent a y or x value from one of the ordered pairs, so for example on ordered pair could represent the ones(note that the ones and twos can be switched and the slope will remain the same).

In our case we will have (-5,-2) be ( $x_(1) ,y_(1)$ ) and (4,5) be ( $x_(2) ,y_(2)$ ). We will plug this into the equation.

$(5+2)/(4+5) = (7)/(9)$

Therefore the slope of our line is 7/9.
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Now we need to find the y-intercept to have the equation for our line. We will put the slope and two points from the line into slope intercept form and solve for b (we will use (4,5)).

5=4(7/9)+b
5-b=3 1/9
5+(-b)=3 1/9
-b=-2 1/9
b=2 1/9

Now that we have our value for b we will put it in slope intercept form.

y=7/9x+(2 +1/9)

I hope this helps!

To find the equation of a line knowing two points it passes through, we must first find the slope and then substitute the x and y values to figure out the y intercept.

First thing is to find the slope using the formula m = Δy ÷ Δx
m = 5 - (-2) ÷ 4 - (-5)

Now we simplify
m = 7 ÷ 9

Our equation so far is y = 7/9x + b. Now we can substitute the values of x and y from a point to figure out the answer. The equation here uses the point (4,5)

5 = 7/9 · 4 + b

Get b on one side
5 - 28/9 = b

Simplify
b = 1 + 8/9

That makes the equation of the line y = 7/9x + (1 + 8/9)

Can 2 and 7/12 be simplify

Answers

no because 7/12 is already at it's lowest because 2 doesn't go in to 7 and 2 does go in 12 but u have to simplify it by the same number

hope this helps

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