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Margarita [4]
3 years ago
15

Aaliyah bought four composition notebooks and three packs of pencils from the school bookstore and paid $10.93.Laura bought seve

n composition notebooks and two packs of pencils and paid $13.31. If each pencil pack contains ten pencils,what is the unit price per pencil?
Mathematics
1 answer:
sveticcg [70]3 years ago
7 0
4c + 3p = 10.93....multiply by 7
7c + 2p = 13.31....multiply by -4
--------------------
28c + 21p = 76.51 (result of multiplying by 7)
-28c - 8p = - 53.24 (result of multiplying by -4)
------------------add
13p = 23.27
p = 23.27/13
p = 1.79 <== cost of 1 pencil pack

1.79/10 = 0.179 rounds to 0.18 <== unit price per pencil
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grandymaker [24]

Answer:

y-determinant = 2

Step-by-step explanation:

Given the following system of equation:

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  • x - 3y = 7

Let's represent it using a matrix:

\left[\begin{array}{ccc}1&2\\1&-3\end{array}\right] = \left[\begin{array}{ccc}5\\7\end{array}\right]

The y‐numerator determinant is formed by taking the constant terms from the system and placing them in the y‐coefficient positions and retaining the x‐coefficients. Then:

\left[\begin{array}{ccc}1&5\\1&7\end{array}\right]

y-determinant = (1)(7) - (5)(1) = 2.

Therefore, the y-determinant = 2

5 0
3 years ago
At the start of the week a bookshop had science and art books in the ratio 2:5. By the end of the week, 20% of each type of book
Anastaziya [24]
Let there be 2x science and 5x art books 
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<span>science books unsold = 2x – 0.4x = 1.6x </span>

<span>art books sold = 5x × 0.2 = x </span>
<span>art books unsold = 5x – x = 4x </span>

<span>total books unsold = 1.6x + 4x = 5.6x </span>
<span>5.6x = 2240 </span>
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<span>2x science = 800 </span>
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4 years ago
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Answer: adult ticket : 5.50

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Step-by-step explanation:

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Answer: Hello, Here you Answer......

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therefore distance covered is given by:

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