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Komok [63]
1 year ago
8

Janelle wants to learn to play the piano. Her friends recommended three different music schools. Make Music charges $525 for 10

hours of lessons. Piano Play offers 12 hours of lessons for $540. Music World offers 15 hours of lessons for $650. Which music school offers the best deal?
Mathematics
1 answer:
gulaghasi [49]1 year ago
5 0
Music World give the best deal
You might be interested in
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
2 years ago
Martha and sally had lunch together on tuesday .sally paid $2 more than martha the totall bill was $5.64 how much did sally spen
ipn [44]
Sally paid $3.82 while Martha paid $1.82 (which makes a total of $5.64 and shows that Sally paid $2 more than Martha)
8 0
3 years ago
What is the area of a rectangle with vertices at (−3, −1) , (1, 3) , (3, 1) , and (−1, −3) ?
wel
I hope this helps you

7 0
3 years ago
PLEASEEEEE i don’t get it I know it’s easy i will give you the brainlest!
Vika [28.1K]

Answer:

h=2/ab

Step-by-step explanation:

4 0
3 years ago
You are school supply shopping in together as a package of six pencils for $2.70 how much does each pencil cost
Darya [45]

Answer:

0.45 cents

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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