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Mars2501 [29]
2 years ago
12

On the last day of the school book fair, all pencils were one set price and all books were a different set price. Sammy bought 2

pencils and 6 books for $14. Belle bought 4 pencils and 1 book for $8. What was the set price for a pencil? What was the set price for a book?
Mathematics
1 answer:
Lady bird [3.3K]2 years ago
3 0

Answer:

  • Book -$20/11 and pencil - $17/11

Step-by-step explanation:

Let the set price of pencil be p and the set price of book be b

<u>Then we have equations:</u>

  • 2p + 6b = 14
  • 4p + 1b = 8

<u>Simplify the first equation:</u>

  • p + 3b = 7

<u>And substitute p in the second equation: p = 7 - 3b</u>

  • 4(7 - 3b) + b = 8
  • 28 - 12b + b = 8
  • 11b = 20
  • b = 20/11

<u>And finding value of p:</u>

  • p = 7 - 3(20/11) = 1/11(77 - 60) = 17/11
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Answer:

YES

Step-by-step explanation:

Explanation:

If this is a right triangle we can then substitute the sides of the triangle (12 and 35) and the hypotenuse (37) into the Pythagoras Theorem and the two sides of the equation will be equal. If this is not a right triangle the two sides of the equation will not be equal.

The Pythagoras Theorem is  

a

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Substituting we get:

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3 0
2 years ago
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Jlenok [28]

Answer:

C(t)=3000(1.002417)^12t+960t

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Step-by-step explanation:

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C(t)=3000(1.002417)^12t+960t

if T=1 year then the saving will be :

C(t)=3000(1.002417)^12t+960t

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7 0
3 years ago
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Step-by-step explanation:

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The correct answer for USATesprep is


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