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3 years ago

6

Philip writes 2 pages per hour. How many hours will Philip have to spend writing this week

2 answers:

lukranit [14]3 years ago

3 0

Answer:

8 hours

Step-by-step explanation:

If he writes 2 pages a hour and needs 16 pages, then you would have to divide 16 by 2 which is 8.

To double check that, you can multiply 8 by 2 which is 16.

You answer is 5 hours.

daser333 [38]3 years ago

3 0

Answer:

8 hours.

Step-by-step explanation: We must Multiply! 2x1=1 2x2=4 2x3=6 2x4=8 2x5=10 2x6=12 2x7=14 2x<u>8</u>=16! We could also divide as well ! 16 divided by 2= 8! We have a grand total of 8 Hours! I Hope this was helpful!

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Write the following quotient in the form a+bi.<br> -7i/2-7i

Helga [31]

Answer:

$\large\boxed{\dfrac{49}{53}-\dfrac{14}{53}i}$

Step-by-step explanation:

$\text{Use}\\\\i=\sqrt{-1}\to i^2=-1\\\\(a-b)(a+b)=a^2-b^2\to(a-bi)(a+bi)=a^2+b^2\\\\\text{distributive property}\ a(b+c)=ab+ac\\---------------------\\\\\dfrac{-7i}{2-7i}=\dfrac{-7i}{2-7i}\cdot\dfrac{2+7i}{2+7i}=\dfrac{-7i(2+7i)}{2^2+7^2}=\dfrac{(-7i)(2)+(-7i)(7i)}{4+49}\\\\=\dfrac{-14i-49i^2}{53}=\dfrac{-14i-49(-1)}{53}=\dfrac{-14i+49}{53}\\\\=\dfrac{49}{53}-\dfrac{14}{53}i$

8 0

3 years ago

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Multiply the expression <br> 2/3 (6x + 15y)<br> and simplify completely.

12345 [234]

Answer: 4x+10y

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3 years ago

Between what pair of numbers is the product of 289 and 7

LiRa [457]

The product of 289 and 7 is somewhere between 289 and 2,100 .

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3 years ago

Use the unique factorization of integers theorem to prove the following statement. If n is any positive integer that is not a pe

anyanavicka [17]

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Step-by-step explanation:

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3 years ago

LOTS OF POINTS <br> Simplify the expression by factoring, showing the steps in your work

julia-pushkina [17]

Answer:

$\frac{3x+7}{4x+1}$

Step-by-step explanation:

$\frac{12x^2+31x+7}{16x^2+8x+1}$

First you factor $12x^2+31x+7$ :

$=\left(12x^2+3x\right)+\left(28x+7\right)$

Then you factor out $3x$ from $12x^2+3x$ :

$12x^2+3x$

$=12xx+3x$

$=3\cdot \:4xx+3x$

$=3x\left(4x+1\right)$

Then you factor out 7 from $28x+7$ :

$28x+7$

$=7\cdot \:4x+7$

$=7\left(4x+1\right)$

$=3x\left(4x+1\right)+7\left(4x+1\right)$

Factor out common term $4x+1$ :

$=\left(4x+1\right)\left(3x+7\right)$

$\frac{\left(4x+1\right)\left(3x+7\right)}{16x^2+8x+1}$

Factor $16x^2+8x+1$ :

$=4^2x^2+8x+1$

$=4^2x^2+8x+1^2$

$=\left(4x\right)^2+8x+1^2$

$=\left(4x\right)^2+2\cdot \:4x\cdot \:1+1^2$

Use the perfect square formula:

$=\left(4x+1\right)^2$

$\frac{\left(4x+1\right)\left(3x+7\right)}{\left(4x+1\right)^2}$

Cancel out common factor $4x+1$ :

$=\frac{3x+7}{4x+1}$

8 0

3 years ago