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kati45 [8]
3 years ago
13

write each fraction as a sum of unit fractions. then write an equation to decompose the fraction into a different way. 4/5 and 3

/8
Mathematics
1 answer:
amid [387]3 years ago
3 0
4/5 = 1/2 +1/5 +1/10

3/8 = 1/4 +1/8

_____
It isn't clear whether you want the second decomposition to be using unit fractions, or what other restrictions may apply. It also is not clear what sort of equation is intended. Perhaps your text has an example for guidance.

4/5 = 1/2 +1/4 +1/20

3/8 = 1/3 +1/24
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<img src="https://tex.z-dn.net/?f=3a%20-%202%20-%20b%20-%20a" id="TexFormula1" title="3a - 2 - b - a" alt="3a - 2 - b - a" align
Stells [14]

Answer:

2a  -b -2

Step-by-step explanation:

3a -2 - b- a

Combine like terms

3a -a   -b   -2

2a  -b -2

4 0
4 years ago
Please help me solve this. Please don’t give me a link, or it will be reported. Please provide step by step explanations. Thanks
nika2105 [10]

Answer:

x = 27/10 or x = 2.7

Step-by-step explanation:

Step 1: Get rid of the denominator.

LCD of 4 & 3: 12

Multiply both sides by 12.

12 ( 2x - 1 / 4 ) + 12 ( x / 3 ) = 12 (2)

Reduce the numbers.

3 ( 2x - 1) + 4x = 24

Step 2: Distribute.

6x - 3 + 4x = 24

Step 3: Collect like terms.

6x + 4x = 24 + 3 ( - 3, the sign change when moved to the other side)

10x = 27

Step 4: Solve for x.

Multiply both sides by 10.

10x / 10 = 27 / 10 (the 10 cancels out)

x = 27 / 10 or x = 2.7

Answer: x = 27 / 10 or x = 2.7

8 0
3 years ago
Factor the following equation: 16x2 - 36 Make sure to EXPLAIN how/why that is the answer.
kobusy [5.1K]

Answer:

4(2x-3)(2x+3)

Step-by-step explanation:

The first thing you would do is find the greatest common factor (the biggest number that goes into both of them.

Common factors

1,2,4

So the greatest common factor would be 4 so then you would divide both numbers by 4 and bring it to the outside like so.

4(4x2 - 9)

then you would take it out to where it would multiple to get the same number, like this.

4(2x-3)(2x+3)

5 0
3 years ago
In 1995 the U.S. federal government debt totaled 5 trillion dollars. In 2008 the total debt reached 10 trillion dollars. Which o
Ipatiy [6.2K]

Where are the statements?

4 0
3 years ago
50 points :] !!
nasty-shy [4]

Given,

LP = 15, PR = 9

Point P lies on the line segment PR. It would mean that,

LP + PR = LR

⇒LR = 15 + 9

⇒ LR = 24

Hence, "LR = 24 because LP + PR = LR according to the Segment Addition Postulate, and 15 + 9 = 24 using substitution" is the correct option.

6 0
3 years ago
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