Answer:
8.75
Step-by-step explanation:
1 mile = 1.6 km
So, every 7 minutes, 1.6 km is ran.
Divide 1.6 by 2 to figure out how much more she is running.
1.6 / 2 = 0.8
Divide the known pace by the extra distance to figure out the time
7 min / 0.8 km = 8.75 min
180 min
Explanation:
3
×
10 min
=
30 min
In 6 hours, Mr. White takes a total of 30 min in breaks.
36 h
=
6 h
×
6
In 36 hours
, there are 6 sets of 6 h
.
Hence we can multiply the number of minutes in breaks taken in
6 h
ours by 6 to obtain the number of minutes in breaks taken in 36 h
ours.
30 min
×
6
=
180 min
0.2(5x – 0.3) – 0.5(–1.1x + 4.2) = 6.5x – 2.06
Solution:
Given expression is 0.2(5x – 0.3) – 0.5(–1.1x + 4.2).
To simplify the expression, first multiply the common term within the bracket.
0.2(5x – 0.3) – 0.5(–1.1x + 4.2)
= (5x × 0.2 – 0.3 × 0.2) + (–1.1x × (–0.5) + 4.2 × (–0.5))
= (1x – 0.06) + (5.5x – 2.1)
= x – 0.06 + 5.5x – 2
Combine like terms together.
= x + 5.5x – 0.06 – 2
= 6.5x – 2.06
0.2(5x – 0.3) – 0.5(–1.1x + 4.2) = 6.5x – 2.06
Hence the simplified form of 0.2(5x – 0.3) – 0.5(–1.1x + 4.2) is 6.5x – 2.06.
The series is a convergent p-series with p = 3
<h3>How to know it is a divergent or a convergent series</h3>
We would know that a series is a convergent p series when we have ∑ 1 np. Then you have to be able to tell if the series is a divergent p series or it is a convergent p series.
The way that you are able to tell this is if the terms of the series do not approach towards 0. Now when the value of p is greater than 1 then you would be able to tell that the series is a convergent series.
The value of 
The formular for this is
∑
where n = 1
we know it is convergent because p is greater than 1. 3>1
Read more on convergent series here:
brainly.com/question/337693
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