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DaniilM [7]
4 years ago
14

Henry can write 5 1/4 pages of his novel in hours at this rate how many pages can henry write in 8 hours

Mathematics
2 answers:
grandymaker [24]4 years ago
6 0

Answer:

Number of pages written in 8 hours = 42 pages

Step-by-step explanation:

Henry can write 5 1/4 pages of his novel in hours.

\texttt{Number of pages written in 1 hour = }5\frac{1}{4}=\frac{5\times 4+1}{4}=\frac{21}{4}

We need to find how many pages can Henry write in 8 hours

Time of writing = 8 hours.

\texttt{Total number of pages written in 8 hours = }8\times \frac{21}{4}=42\texttt{ pages}

Number of pages written in 8 hours = 42 pages

In-s [12.5K]4 years ago
4 0
5 1/4 if you convert it the fraction to decimal it will be 5.25.
5.25*8=42.
Henry wrote 42 pages in 8 hours
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Find m and n if the remainder when 8x^3+mx^2-6x+n if divided by (x-1) and (2x-3) are 2 and 8 respectively
soldier1979 [14.2K]

Answer:

we have:

8x³ + mx² - 6x + n

= 8x³ - 8x² + (m + 8)x²- (m + 8)x + (m + 2)x - (m + 2) + m + 2+ n

= 8x²(x - 1) + (m + 8)x(x - 1) + (m + 2)(x - 1) + (m + n + 2)

= (x - 1)[8x² + (m + 8)x + m + 2] + (m + n + 2)

because the remainder if divided by (x-1) is 2

=> m + n + 2 = 2

⇔ m + n = 0 (1)

we also have:

8x³ + mx² - 6x + n

= 8x³ - 12x² + (m + 12)x² - 3/2.x.(m + 12) + ( 12 + 3/2.m)x - (9/4.m +  18) + n +9/4m + 18              

= 4x²(2x - 3) + 1/2.(m + 12)x(2x - 3) + (3/2m + 12).1/2.(2x - 3) + 9/4m + n + 18

= (2x - 3)(4x² + (m + 12)/2.x + 3/4m + 6) + 9/4m + n + 18

 because the remainder if divided by  (2x - 3) is 8

=> 9/4m + n + 18 = 8

⇔ 9/4m + n = -10 (2)

from (1) and (2), we have:

m + n = 0

9/4m + n = -10

=> m = -8

      n = 8

Step-by-step explanation:

3 0
3 years ago
Find the equation of the line passing through the points 7,2 and 9,1
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9514 1404 393

Answer:

  y = -1/2x +11/2

Step-by-step explanation:

The slope of the line is ...

  m = (y2 -y1)/(x2 -x1)

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The y-intercept is ...

  b = y -mx

  b = 2 -(-1/2)(7) = 11/2

Then the slope-intercept equation is ...

  y = -1/2x +11/2

_____

<em>Alternative solution</em>

A general form equation for the line can be ...

  (y1 -y2)(x -x1) -(x1 -x2)(y -y1) = 0

  (2 -1)(x -7) -(7 -9)(y -2) = 0

  x-7 +2y -4 = 0

  x +2y -11 = 0 . . . . . general form equation

  x +2y = 11 . . . . . . . standard form equation

Note that we want the x-coefficient to be positive, so we chose the order of the points to make that be the case.

5 0
3 years ago
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3 years ago
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Help ASAP I really need an answer I don't need links please and if you don't know that answer just don't answer
Salsk061 [2.6K]

Answer:

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Step-by-step explanation:

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3 years ago
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Answer: the rate of the passenger train is 100 mph.

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