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Mila [183]
2 years ago
9

HELP

Mathematics
1 answer:
Alinara [238K]2 years ago
3 0

Answer:

let Karen's music library be represented by K

let Clarann's music library be represented by C

C = K +18

C +K =40

put C = K +18 into (C +K =40)

K + 18 +K =40

2K +18 = 40

collect like terms

2K =40 -18

2K =22

divide both sides by 2

K =11

since C = K+18

C= 11 +18

C =29

Karen's music library contains 11 playlists while Clarann's music library contains 29 playlists

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Determine the sum of the arithmetic series: 5+18 +31 +44 + ... 161.
Finger [1]

Answer:

1079

Step-by-step explanation:

Hello,

18-5 = 13

31-18=13

44-31=13

161=5+13*12

So we need to compute

\displaystyle \sum_{k=0}^{k=12} \ {(5+13k)}\\\\=\sum_{k=0}^{k=12} \ {(5)} + 13\sum_{k=1}^{k=12} \ {(k)}\\\\=13*5+13*\dfrac{12*13}{2}\\\\=65+13*13*6\\\\=65+1014\\\\=1079

Thanks

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3 years ago
Find the value of x if h(x) = -25 in the function h(X) = 1/5x + 10
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Answer:

x = -175

Step-by-step explanation:

Step 1: Define

h(x) = -25

h(x) = 1/5x + 10

Step 2: Substitute and Evaluate

-25 = 1/5x + 10

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x = -175

3 0
3 years ago
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4 0
3 years ago
how to factor -9z^2 + 10z - 1 = 0 it’s been a while since i’ve been in school and i can’t seem to remember how please help
vichka [17]

Answer:

z = 1/9   and    z = 1

Step-by-step explanation:

-9 z^{2} + 10z - 1 = 0

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You can check the answer using foil method

Then,

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z = 1

Answers:

z = 1/9

z = 1

7 0
2 years ago
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