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NikAS [45]
3 years ago
15

Katie runs 3 miles in 28 minutes. At this pace, how long will it take her to run 13.1 miles? Round to the nearest minute.

Mathematics
2 answers:
klemol [59]3 years ago
6 0

Answer:

122.6 min

Step-by-step explanation:

3 miles = 28 min

13.1 miles=x

28min x 13.1 miles=366.8/3=122.6 min

OverLord2011 [107]3 years ago
5 0

Answer:

122mins

Step-by-step explanation:

3 miles take 28mins

Therefore the pace refers to the speed of travel and is 3/28

The new time of travel = distance /speed

= 13.1 / 3/28

=13.1 * 28 /3

=122.27

=122minutes

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Here are the first five terms of an arithmetic sequence.
Assoli18 [71]

Answer:

The nth term of an AP will be 27 -7n.

Step-by-step explanation:

First five terms of the Arthemetic Sequence is given to us , which is 26 , 19 , 12 , 5

Hence here Common Difference can be found by subtracting two consecutive terms . Here which is 19 - 26 = (-7) .

Here first term is 26 .

And the nth term of an AP is given by ,

★ T_n = a + ( n - 1) d

<u>Subst</u><u>ituting</u><u> respective</u><u> values</u><u> </u><u>,</u>

⇒ T_n = a + ( n - 1 )d

⇒ T_n = 26 + (n - 1)(-7)

⇒ T_n = 26 -7n+1

⇒ T_n = 27 - 7n

<h3><u>Hence </u><u>the</u><u> </u><u>nth</u><u> </u><u>term</u><u> of</u><u> an</u><u> </u><u>AP</u><u> </u><u>can</u><u> </u><u>be</u><u> </u><u>found </u><u>using </u><u>T_</u><u>n</u><u> </u><u>=</u><u> </u><u>2</u><u>7</u><u> </u><u>-</u><u> </u><u>7</u><u>n</u><u>. </u></h3>

8 0
3 years ago
Point W is located at (-2,3) on a coordinate plane. Point W is reflected over the x-axis to create point w'. Point W' is then re
aniked [119]

ANSWER

W''(2, - 3)

EXPLANATION

The given point bas coordinates

W(-2,3).

The mapping for reflection over the x-axis is

(x,y)\to(x, - y)

W(-2,3)\to \: W'(-2, - 3)

This point W'(-2,-3) is then reflected over the y-axis.

The mapping for reflection over the y-axis is

(x,y)\to (-x, y)

W'(-2,-3)\to \: W''(2, - 3)

5 0
3 years ago
How long would it take to double your principal in an account that pays 6.5% annual interest compounded continuously? round your
prisoha [69]
It would take 10.7 years.

The formula for continuously compounded interest is:
A=Pe^{rt}
where P is the principal, r is the interest rate as a decimal number, and t is the number of years.

Using our information we have:
A=Pe^{0.065t}

We want to know when it will double the principal; therefore we substitute 2P for A and solve for t:
2P=Pe^{0.065t}

Divide both sides by P:
\frac{2P}{P}=\frac{Pe^{0.065t}}{P}&#10;\\&#10;\\2=e^{0.065t}

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Divide both sides by 0.065:
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8 0
3 years ago
Read 2 more answers
You need 3/4 yard of ribbon for one gift box. You have 3 yards of ribbon. How many gift boxes do you have ribbon for
Kazeer [188]

Answer:

4

Step-by-step explanation:

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GrogVix [38]

Answer:

y=-3x+8

Step-by-step explanation:

subtract 6x from each side

then divide 2

5 0
3 years ago
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