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Natalka [10]
3 years ago
10

Samuel spends a total of $36.75 on 1 bag of popcorn and 3 drinks. Sebastian spends a totally of $138.00 on 3 bags of popcorn and

12 drinks. Write a system of equations that can be used to find the price of one bag of popcorn
Mathematics
1 answer:
Ivanshal [37]3 years ago
6 0

Answer: A popcorn costs $9

Step-by-step explanation:

Let popcorn be represented by p

Let drinks be represented by d.

Samuel spends a total of $36.75 on 1 bag of popcorn and 3 drinks. This will be: p + 3d = 36.75

Sebastian spends a totally of $138.00 on 3 bags of popcorn and 12 drinks. This will be: 3p + 12d= 138

p + 3d = 36.75 ........... i

3p + 12d = 138 ............ ii

Multiply equation i by 3

Multiply equation ii by 1

3p + 9d = 110.25 ....... iii

3p + 12d = 138 ............ iv

Subtract equation iv from iii

-3d = -27.75

3d = 27.75

Divide both side by 3

d = 9.25

A drink cost $9.25

From equation i

p + 3d = 36.75

P + 3(9.25) = 36.75

P + 27.75 = 36.75

P= 36.75 - 27.75

P= $9

A popcorn cost $9

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A square ceiling has an area of 360 square feet. Alex wants to put molding around the entire perimeter of the ceiling. Approxima
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Answer:

Option C is correct

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Step-by-step explanation:

Area of square(A) is given by:

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where, s is the side of the square.

As per the statement:

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⇒A = 360 square feet.

then;

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solniwko [45]

Answer:

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Step-by-step explanation:

10 / d

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melamori03 [73]

Answer:

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Step-by-step explanation:

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Vertices A, B, and C form a right triangle with legs AB=3, BC=4, and AC=5. The two legs, 3 and 4, represent the triangle's height and base, respectively.

The area of a triangle with base b and height h is given by A=\frac{1}{2}bh. Therefore, the area of this right triangle is:

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The other triangle is a bit trickier. Triangle \triangle ADC is an isosceles triangles with sides 5, 5, and 4. To find its area, we can use Heron's Formula, given by:

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Dmitry_Shevchenko [17]

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