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never [62]
3 years ago
15

Paul bought a student discount card for the bus. the card allows him to buy daily bus passes for $1.50. after one month, paul bo

ught 15 bus passes and spent a total of $29.50. how much did he spend on the student discount card?
Mathematics
1 answer:
aalyn [17]3 years ago
4 0
Paul spent $7 on the student discount card.
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Complete the steps to evaluate the following expression, given log3a = −0.631.
Zielflug [23.3K]

\log _{3}(3)=1 and \log _{3} \frac{a}{3}=-1.631

Solution:

Given value \log _{3} a=-0.631.

To evaluate the expression \log _{3} \frac{a}{3}.

Using logarithmic rule: \log _{b}\left(\frac{M}{N}\right)=\log _{b}(M)-\log _{b}(N)

$\log _{3} \frac{a}{3}=\log _{3}(a)-\log _{3}(3)

We know that \log _{3} a=-0.631.

$\log _{3} \frac{a}{3}=-0.631-\log _{3}(3)

Using another logarithmic rule: \log _{b} b=1

$\log _{3} \frac{a}{3}=-0.631-1

$\log _{3} \frac{a}{3}=-1.631

Hence \log _{3}(3)=1 and \log _{3} \frac{a}{3}=-1.631.

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3 years ago
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There were 12,351 visitors to a history center last year .what is this number rounded to the nearest hundred? Explain how you ro
OlgaM077 [116]
12,351 ~ 12,400 I rounded 12,351 to 12,400 because when there is 5 when you round,the hundred goes up.
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What is 0.45 expressed as a decimal with a line over 5
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Step-by-step explanation:

I'm not sure what you mean by "with a line over 5" so I just thought u meant with 5 as the denominator

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What is the distance between the endpoints of the beams p and q? 3.2 inches 3.7 inches 4.2 inches 4.4 inches open study?
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Is this right I need help with this
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3 years ago
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