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Ulleksa [173]
3 years ago
12

Aiden bought some noteboks and book covers for the upcoming school year.He bought a total of 13 items.Each notebook costs $1.37,

and each book cover costs $1.08. He spent total of $16.36..How many notebooks and how many book covers did he buy?
Mathematics
1 answer:
Darina [25.2K]3 years ago
8 0
1.37x + 1.08y = 16.36
x + y = 13

x = 13 - y
1.37* (13-y) + 1.08y = 16.36
17.81 - 1.37y + 1.08y = 16.36
1.08y - 1.37y = 16.36 - 17.81
-0.29y = -1.45
y = 5

x + 5 = 13
x = 13-5
x = 8

He bought 8 notebooks and 5 book covers
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Step-by-step explanation:

The base of the prism which is a pentagon is regular. The apothem which is a line drawn from the center to any side of the pentagon is 4 cm. The height of the prism is 16 cm.

The volume of a prism = Bh

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B = base area

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The base of the prism can be divided into 5 congruent triangles.But the base of the triangles is unknown.

The sum of interior angle of a pentagon is 540°. That means each angle is 108° . The triangle divide the angle into 2. Making the 2 base angle as 54° each. The last angle of the triangle at the center is 72°(remember sum of angle in a triangle is 180° which is 54° + 54° + 72° = 180°) .

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I hope this helps you




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