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Veseljchak [2.6K]
3 years ago
10

A person can read 24 pages of a book in 1/3 of an hour. What is this person’s reading rate in pages per hour?

Mathematics
2 answers:
zubka84 [21]3 years ago
8 0

Answer:

A person can read 24 pages in 1/3 hour. There are 3 * 1/3 hours in 1 hour. So, the person can read 24 * 3 = 72 pages in one hour.

Step-by-step explanation:

20 minutes is 1/3rd of an hour. 24 pages / 20 minutes = 1.2 pages per minute. 60 minutes * 1.2 ppm = 72 pages per hour.  

60/3=20

24/20 = 1.2

60*1.2=72

11Alexandr11 [23.1K]3 years ago
3 0

Answer:72?

Step-by-step explanation:

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Given that 1 x2 dx 0 = 1 3 , use this fact and the properties of integrals to evaluate 1 (4 − 6x2) dx. 0
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So, the definite integral  \int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74

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We find

\int\limits^1_0 {(4 - 6x^{2} )} \, dx

<h3>Definite integrals </h3>

Definite integrals are integral values that are obtained by integrating a function between two values.

So, Integral \int\limits^1_0 {(4 - 6x^{2} )} \, dx

So, \int\limits^1_0 {(4 - 6x^{2} )} \, dx = \int\limits^1_0 {4} \, dx - \int\limits^1_0 {6x^{2} } \, dx \\=  4[x]^{1}_{0}    - \int\limits^1_0 {6x^{2} } \, dx \\=  4[x]^{1}_{0}    - 6\int\limits^1_0 {x^{2} } \, dx \\= 4[1 - 0]    - 6\int\limits^1_0 {x^{2} } \, dx\\= 4[1]    - 6\int\limits^1_0 {x^{2} } \, dx\\= 4    - 6\int\limits^1_0 {x^{2} } \, dx

Since

\int\limits^1_0 {x^{2} } \, dx = 13,

Substituting this into the equation the equation, we have

\int\limits^1_0 {(4 - 6x^{2} )} \, dx = 4 - 6\int\limits^1_0 {x^{2} } \, dx\\= 4 - 6 X 13 \\= 4 - 78\\= -74

So, \int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74

Learn more about definite integrals here:

brainly.com/question/17074932

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