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MatroZZZ [7]
2 years ago
8

Gloria, Tina, and Kelly went to an office supply store. Gloria bought 5 pencils, 7 markers, and 8 erasers. Her total was $19.00.

Tina spent $21.00 buying 7 pencils, 5 markers, and 8 erasers. Kelly bought 4 pencils, 8 markers, and 7 erasers for $17.75. What is the cost of each item?
Mathematics
1 answer:
FromTheMoon [43]2 years ago
7 0

Answer:

Pencils cost $2

Markers cost $1

Erasers cost $0.25

Step-by-step explanation:

Let pencils be denoted by P, markers by M and erasers by E. The following linear system can be modeled from the data provided:

5P+7M+8E = 19\\7P+5M+8E=21\\4P+8M+7E =17.75

Solving the linear system:

2P-2M= 2\\P=1+M\\4+4M+8M+7E =17.75\\\\12M+7E = 13.75\\12M+8E=14\\E=0.25\\M=\frac{14-0.25*8}{12}\\ M=1\\P=1+1=2

Pencils cost $2

Markers cost $1

Erasers cost $0.25

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tankabanditka [31]

Answer:

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Step-by-step explanation:

We use the Venn diagram to calculate the desired probabilities.

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S = {1, 2, 3, 4, 5, 6}

Then note that in the region representing the intercept of A and B there are two possible values.

So

P (A\ and\ B) = \frac{2}{6} = \frac{1}{3}

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}

So

P(A) = \frac{4}{6} = \frac{2}{3}

In the region that represents event B there are 3 possible outcomes {1, 2, 6}

So

P(B) = \frac{3}{6} = \frac{1}{2}.

Now

P(A | B)=\frac{P(A \ and\ B)}{P(B)}\\\\P(A | B)=\frac{\frac{1}{3}}{\frac{1}{2}}\\\\P(A|B)=\frac{2}{3}

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Now we simplify using PEMDAS. First step is parentheses.

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x = 6 - \sqrt{21}
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