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zloy xaker [14]
2 years ago
4

sean is a bookworm. on average, he reads 1 1/2 pages in 3 1/3 minute. Sean's average unit rate for reading is _ pages per minute

.
Mathematics
2 answers:
baherus [9]2 years ago
8 0

Answer:  The required average unit rate for reading is \dfrac{9}{20} pages per minute.

Step-by-step explanation:  Given that Sean is bookworm. On average, he reads 1\dfrac{1}{2} pages in 3\dfrac{1}{3} minute.

We are to find the average unit rate for reading the book.

We have

1\dfrac{1}{2}=\dfrac{3}{2},~~~3\dfrac{1}{3}=\dfrac{10}{3}.

We will be using the UNITARY method to solve the problem.

We have

Number of pages read in \dfrac{10}{3} minutes is

\dfrac{3}{2}.

Therefore, the number of pages read in 1 minute is given by

\dfrac{\frac{3}{2}}{\frac{10}{3}}\\\\\\=\dfrac{3}{2}\times\dfrac{3}{10}\\\\\\=\dfrac{9}{20}.

Thus, the required average unit rate for reading is \dfrac{9}{20} pages per minute.

jolli1 [7]2 years ago
4 0
Average = number of pages / time taken
             =  1. 1/2 / 3 1/3
              = 3/2  /   10/3
              = 3/2 * 3 /10
               = 9/20

Answer 9/20 pages per minute.

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bixtya [17]

Answer: 585 maybe??

Step-by-step explanation:

450/100 = 4.5

4,5 = 1 percent of the total amount.

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22.5 = 5 percent of 450

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4 0
2 years ago
The growth in the mouse population at a certain county dump can be modeled by the exponential function A(t)= 906e0.012t, where t
tatyana61 [14]

Answer:

A(t) = 906 e^{0.012t}

Where t is the number of months since the population was first recorded. And we want to find the population after 36 months so we need to replace t=36 months into the function and we got:

A(36) = 906 e^{0.012*36}= 1395.54

So then we can conclude that after 36 months the population of mouse is between 1385 and 1396.

Step-by-step explanation:

We know that the population can be represented with this formula:

A(t) = 906 e^{0.012t}

Where t is the number of months since the population was first recorded. And we want to find the population after 36 months so we need to replace t=36 monthsinto the function and we got:

A(36) = 906 e^{0.012*36}= 1395.54

So then we can conclude that after 36 months the population of mouse is between 1385 and 1396.

5 0
2 years ago
Select the angle that correctly completes the law of cosines for this triangle. 72 + 252 – 2(7)(25)cos ___ = 242 A. 180° B. 90°
meriva

Answer:

x =76.45 degrees

Step-by-step explanation:

72 + 252 – 2(7)(25)cos _x__=242

combine like terms

324-350cosx = 242

subtract 324 from each side

-350x = -82

divide by -350

cos x = -82/-350

cos x = 82/350

take the arccos of each side

arccos (cos x) = arccos (82/350)

x =76.45 degrees


7 0
2 years ago
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seraphim [82]
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7 0
2 years ago
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makkiz [27]

The mathematical expression does not seem clear but I have made an attempt to make sense of what is implied.

Answer:

<em>a</em> = 4, <em>b</em> = 2, <em>c</em> = 16, <em>d</em> = 9

Step-by-step explanation:

\dfrac{(-3)^3(2^6)}{(-3)^5(2^2)} = \dfrac{(2)^a}{(-3)^b} = \dfrac{c}{d}

Solving the first part of the question by indices,

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Comparing with the final term in the question,

<em>c</em> = 16 and <em>d</em> = 9

Therefore,

<em>a</em> = 4, <em>b</em> = 2, <em>c</em> = 16, <em>d</em> = 9

3 0
2 years ago
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