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sammy [17]
2 years ago
5

An office supply store recently sold a black printer ink cartridge for $17.99 and a color printer ink cartridge for $20.99. At t

he start of a recent fall
semester, a total of 59 of these cartridges was sold for a total of $1118.41. How many of each type were purchased?
Mathematics
1 answer:
UNO [17]2 years ago
8 0

Answer:

40 black ink cartridges and 19 colored ink cartridges

Step-by-step explanation:

Let b represent the number of black printer ink cartridges sold. Let c represent the number of color printer ink cartridges sold.

Set up a system of equations:

\displaystyle\\\begin{cases}b+c=59\\17.99b+20.99c=1,118.41\end{cases}

b+c=59\implies b=59-c

Substitute:

\displaystyle\\17.99(59-c)+20.99c=1,118.41\\\implies c=\boxed{19}

\implies b+19=59\implies b=\boxed{40}

⇒ 40 black ink cartridges, 19 colored ink cartridges (ans)

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3 years ago
Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to f
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Answer:  b) 84

Step-by-step explanation:

Let p be the prior estimate of the required proportion.

As per given , we have

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Critical z-value (using z-value table ) : z_{\alpha/2}=1.645

Confidence interval width : w= 0.18

Thus , the margin of error : E=\dfrac{w}{2}=0.09

Formula to find the sample size ( if prior estimate of proportion is known.):-

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Substitute the values , we get

n=0.5(1-0.5)(\dfrac{1.645}{0.09})^2

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3 years ago
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3 years ago
The ratio of male teachers to female teachers in a school is 1 to 5. If there are 60females teachers how many male teachers are
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Step-by-step explanation:

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12 times 1 = 12

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3 years ago
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