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Lemur [1.5K]
3 years ago
13

Salvatore is making party favors for his birthday party. He has 96 pencils and 80 boxes of raisins. Find the GCF of 96 and 80 to

figure out how many party favors he can make. How many pencils and boxes of raisins will be in each one?
Mathematics
2 answers:
goldfiish [28.3K]3 years ago
8 0

The greatest common factor is 18

Then you divide 18 by 96 then 80

80/16=5

96/16=6

So therefore there are 5 boxes of raisins and 6 pencils in each bag

Tema [17]3 years ago
7 0

Answer:

GCF is 16, and 6 pencil boxes, and 6 boxes of raisins.

Step-by-step explanation:

Since, we know the factors of 96 and 80 as:

96 is: 2 x 2 x 2 x 2 x 2 x 3.

85 is: 2 x 2 x 2 x 2 x 5.

So, the factors in common are:

85 and 96: 2 x 2 x 2 x 2

therefore, HCF is:

2 x 2 x 2 x 2 = 16

For pencil boxes,

\frac{96}{16} = 6

For raisins boxes,

\frac{80}{16} = 5

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The area of the rectangle with a perimeter of 36 cm is determined as: 80.1  cm².

<h3>What is the Area of a Rectangle?</h3>

Area of a rectangle = (length)(width).

<h3>Given the following:</h3>

Angle of measure 78 degree enclosed by the diagonals of the rectangle

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To find the area, we need to find the length and width of the rectangle using the trigonometric ratios.

A side of the rectangle = x cm

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Angle of the diagonal base = (180 - 78)/2 = 51°

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Tangent ratio is tan ∅ = opposite/adjacent side of a right triangle. We have the following,

∅ = 51°

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1.235(18 - x) = x

22.23 - 1.235x = x

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