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Gennadij [26K]
3 years ago
8

Wesly reads 60 pages in 20 minutes if he reads at the same constant rate what equation could represent this as a proportional re

lationship
Mathematics
1 answer:
sergey [27]3 years ago
3 0

Answer:

let m be minutes, p be pages

pages read = times(in minutes) * reading speed(pages per minutes)

p=m*(60/20)

p=3m

For every increase of a minute of reading time, pages that Wesly have read will increase by 3


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Answer:

A) Distance time graph

B) d(t) = 25t

C) The expression shows the distance more clearly.

Step-by-step explanation:

A) A distance time graph as seen in the attachment provides a representation of the distance travelled.

We are told the car travels at a constant speed of 100 meters per 4 seconds. Which means that 100 m for each 4 hours. So, for 200m, it's 8 hours like seen in the graph and for 300m,it's 12 hours as seen in the graph.

B) And expression for the distance is;

d = vt

Where;

d is distance in metres

v is speed in m/s and t is time

We are told that the car travels at a constant speed of 100 meters per 4 seconds.

Thus, v = 100/4 = 25 m/s

Distance travelled over time is;

d(t) = 25t

C) Looking at both A and B above, it's obvious that the expression of the distance shows a more clearer way of getting the distance because once we know the time travelled, we will just plug it into the equation and get the distance. Whereas, for the representation form, one will need to longer graphs if the time spent is very long.

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. In triangle DEF, the measure of angle D is 122º. Angle E is acute, and angle F is 19º. What is the measure of angle F in degre
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Step-by-step explanation:

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Question:

You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on constructing a confidence interval; however, you are not sure how many citizens should be included in the sample. If you want your sample estimate to be within 5 years of the actual mean with a confidence level of 97% , how many citizens should be included in your sample? Assume that the standard deviation of the ages of all the citizens in this community is 18 years.

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Given:

Standard deviation = 18

Sample estimate = 5

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Required:

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First find the Z value. Using zscore table

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To find the sample size, use the formula below:

n = (Z * \frac{\sigma}{E})^2

n = ( 2.17 * \frac{18}{5})^2

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