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3 years ago

it took heather 2/3 of an hour to read 20 pages in her library book. how long did it take her to read one page

1 answer:

6 0

2/3 hour . 1 hour = 60 minutes.

2/3 hour = (2/3) * 60

= 40 minutes.

20 pages took (2/3) hour = 40 minutes.

20 pages took her 40 minutes to read.

1 page = 40/20 = 2 minutes.

1 page took her 2 minutes to read.

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A. What is the explicit definition for this sequence?<br><br>b. How far does she run on day 19?

creativ13 [48]

Answer:

(a) $a_n=1+\frac{1}{6}(n-1)$

(b) 4 miles

Step-by-step explanation:

Given:

The sequence of run is an arithmetic sequence.

Miles traveled on day 1 = 1 mile

Miles traveled on day 7 = 2 miles

(a).

Explicit formula for an arithmetic sequence is given as:

$a_n=a_1+(n-1)d\\a_n\to n^{th}\ term\\a_1\to first\ term\\n\to number\ of\ terms\\d\to \textrm{common difference}$

Here, $a_1=1,a_7=2$

So,

$a_7=a_1+(7-1)d\\2=1+6d\\6d=2-1\\d=\frac{1}{6}$

Therefore, the explicit definition of the above sequence is given as:

$a_n=1+\frac{1}{6}(n-1)$

Where, $a_n$ is the miles covered on $n^{th}$ day.

(b)

In order to find the distance covered by her on day 19, we plug in 19 for n in the above formula. This gives,

$a_{19}=1+\frac{1}{6}(19-1)\\\\a_{19}=1+\frac{1}{6}(18)\\\\a_{19}=1+3=4\ mi$

Therefore, the number of miles covered by her on day 19 is 4 miles.

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3 years ago

Determine the number of significant figures in each of the following numbers

Strike441 [17]

Answer:

9.99999999999999 apk

6 0

3 years ago

I need help with this question. I didn't choose answer D, but I accidentally did. If you could help me, that would be great.

Alex

Answer:

The correct answer would be B

Step-by-step explanation:

Plz Mark Brainlist

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3 years ago

Write the equation of the line with the given slope and y- intercept. 1.Slope is -2 and a y-intercept of 5.

Monica [59]

Since the slope is -2, then m=-2. Since the y-intercept is 5, b=5. Then, we can create the equation: y=-2x+5

Since the slope is $\frac{3}{4}$ , then m= $\frac{3}{4}$ . Since the y-intercept is -3, b=-3.

Then, we can create the equation: y= $\frac{3}{4}$ x-3

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3 years ago

Find the radius of the button. <br> Please help I am stuck!

marysya [2.9K]

We can see that the diameter is 5 cm. Radius is simply half of the diameter.
5/2=2.5
The radius is 2.5 cm.

5 0

3 years ago

Read 2 more answers