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3 years ago

Alex and DJ go to the movies at 5:15. The movie lasts 2 hours and 25 minutes. What time did they get out of the move?

Mathematics

1 answer:

zaharov [31]3 years ago

4 0

Answer:

7:40

Step-by-step explanation:

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Find the value of -25 = 1/5h + 5

True [87]

First, subtract both sides by 5:

-25 - 5 = h/5 + 5 - 5

-30 = h/5

Then we multiply both sides by 5 to completely isolate h:

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Factorise fully<br> 8 + 49

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If k-6=-3 the value of k is??_

photoshop1234 [79]

Answer:

k=3

Step-by-step explanation:

k-6=-3

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2 years ago

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If this particular arithmetic sequence, a7=34 and a15=74. What is the value of a21

Ilya [14]

This is an arithmetic sequence, meaning, to get the next term, you simply add some value to the current one, namely the "common difference" "d".

now, we know the 17th term is 34, let's go to the 15term then

34 + d
34 + d + d
34 + d + d + d
34 + d + d + d + d
34 + d + d + d + d + d
34 + d + d + d + d + d + d
34 + d + d + d + d + d + d + d
34 + d + d + d + d + d + d + d + d

now, notice, we got to the 15th term, which is 34 + d + d + d + d + d + d + d + d, or namely 34 + 8d, it just so happen we know is 74, therefore,

$\bf 34+8d=74\implies 8d=40\implies d=\cfrac{40}{8}\implies \boxed{d=5}$

ok, now that we know what the common difference is, let's find the first term in the sequence using the 7th term of 34,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=7\\
d=5\\
a_7=34
\end{cases}
\\\\\\
a_7=a_1+(7-1)5\implies 34=a_1+(7-1)5
\\\\\\
34=a_1+30\implies \boxed{4=a_1}$

and now let's use those 2 found folks, to get the 21st term,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=4\\
d=5\\
n=21
\end{cases}
\\\\\\
a_{21}=4+(21-1)5\implies a_{21}=4+100\implies a_{21}=104$

3 0

3 years ago

The radius of the moon is approximately 1,350,000 m. What is the radius in kilometers? (1 km=1000m)

serg [7]

Answer:

I believe it is 1,350 but i am not completely sure

Step-by-step explanation:

7 0

3 years ago

Alex and DJ go to the movies at 5:15. The movie lasts 2 hours and 25 minutes. What time did they get out of the move?​

Alex and DJ go to the movies at 5:15. The movie lasts 2 hours and 25 minutes. What time did they get out of the move?