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3 years ago

How do you multiply a mixed fraction by a regular fraction

1 answer:

3 0

Well, you first have to make the mixed fraction into an improper fraction. You then multiply the two fractions and ad the whole number into the total.

That's how i was taught back in the 4th grade... i'm not sure if it's correct but i hope it is-

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HELP HELP HELP<br> HELP HELP <br> HELP <br> (STEP BY STEP)

Marizza181 [45]

With some simple rearrangement, we can rewrite the numerator as

$2x^3 - 3x^2 - x + 4 = 2(x^3 - x) - 3x^2 + x + 4 \\\\ ~~~~~~~~ = 2x(x^2-1) - 3(x^2 - 1) + x + 1 \\\\ ~~~~~~~~ = (2x-3)(x^2-1) + x+1$

Then factorizing the difference of squares, $x^2-1=(x-1)(x+1)$ , we end up with

$\dfrac{2x^3 - 3x^2 - x + 4}{x^2 - 1} = \dfrac{(2x-3)(x-1)(x+1) + x+1}{(x-1)(x+1)} \\\\ ~~~~~~~~ = \boxed{2x-3 + \dfrac1{x-1}}$

3 0

2 years ago

The typical full-time employee in a particular hotel works a 40-hour week. Last month, the hotel's 80 employees worked a total o

Mila [183]

Answer: There are 25 FTEs.

Step-by-step explanation:

Since we have given that

Number of hour week for full time employee = 40 hours

In a month we know that

Number of weeks = 4

Total number of hours in a month would be

$40\times 4\\\\=160\ hours$

If in last month, the hotel's 80 employees worked a total of 4000 hours,

So, Full time equivalent workers were employed by the hotel last month would be

$\dfrac{4000}{160}\\\\=25$

Hence, there are 25 FTEs.

7 0

3 years ago

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

gayaneshka [121]

Answer:4(2x + 1) = 12x + 3 - 4x +1=0

Step-by-step explanation:

group like terms =4(2x+1)=12x-4x+3+1

add similar elements=4(2x+1)=8x+3+1

add the numbers=4(2x+1)=8x+4

expand=8x+4=8x+4

subtract 4 from both sides 8x+4-4=8x+4-4

simplify=8x=8x

subtract 8x both sides=0

5 0

3 years ago

Naomi wants to take fitness classes at a nearby gym, but she needs to start by selecting a membership plan. With the first membe

3241004551 [841]

54+x=12+3x
X=21 =number of classes
Total amount she will pay is $75

4 0

3 years ago

Find the area of an equilateral triangle (regular 3-gon) with the given measurement.

erica [24]

Answer is 36 hope this helps

7 0

3 years ago