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vladimir1956 [14]
2 years ago
5

0. ‘ Alex is making 12 pennants for i " the school fair The pattern he is using to is make the pennants is shown in the 1 The fa

bric for the pennants costs per square foot How much will it cost Alex to 1 make 12 pennants

Mathematics
2 answers:
alukav5142 [94]2 years ago
7 0

Answer:

Step-by-step explanation:

Svetradugi [14.3K]2 years ago
3 0

Answer: Total cost to make 12 pennants is $52.5.

Step-by-step explanation:

Since we have given that

There is a rectangle and a triangle.

Length of rectangle = 1 ft

Width of rectangle = 3 ft

So, Area of rectangle is given by

Area=Length\times Breadth \\\\Area=1\times 3\\\\Area=3\ ft^2

Base of triangle = 1 ft

Height of triangle = 1 ft

So, Area of triangle is given by

Area=\frac{1}{2}\times base\times height\\\\Area=\frac{1}{2}\times 1\times 1\\\\Area=\frac{1}{2}\ ft^2

So, Total area of the pennants will be

3+\frac{1}{2}\\\\=\frac{6+1}{2}\\\\=\frac{7}{2}\ ft^2

Number of pennants = 12

Cost per square foot of pennant = $1.25

So, Total cost for 12 pennants is given by

12\times \frac{7}{2}\times 1.25\\\\=\$52.5

Hence, Total cost to make 12 pennants is $52.5.

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2 years ago
Kaylee and Olivia go to the movie theater and purchase refreshments for their friends.
KatRina [158]

The price of one bag of popcorn is $3.75

Step-by-step explanation:

Let,

x represent the cost of a bag of popcorn

y represent the cost of a drink.

According to given statement;

4x+12y=30      Eqn 1

x+6y=11.25      Eqn 2

Multplying Eqn 2 by 2

2(x+6y=11.25)\\2x+12y=22.50\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 1

(4x+12y)-(2x+12y)=30-22.50\\4x+12y-2x-12y=7.50\\2x=7.50

Dividing both sides by 2

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4x+12y=30 and x+6y=11.25 can be used to find the price of one bag of popcorn and the price of one drink.

The price of one bag of popcorn is $3.75

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/11821063
  • brainly.com/question/11871074

#LearnwithBrainly

3 0
3 years ago
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