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Gnom [1K]
3 years ago
12

Thalia, a quiz show contestant, answered 20 questions. She was awarded 2 points for every correct answer that she gave, but she

was penalized 1 point for every incorrect answer. In the end, Thalia had a total of 28 points. In order to determine the number of correct and incorrect answers that she gave, a viewer at home used the system of linear equations x + y = 20 and 2 x + y = 28, with x being the number of correct answers and y being the number of incorrect answers. The viewer solved the system by using the linear combination method as shown.
x + y = 20. + StartFraction Negative 2 x minus y = negative 28 over Negative x = negative 8 EndFraction. StartFraction negative x Over negative 1 EndFraction = StartFraction negative 8 Over negative 1 EndFraction. X = 8.
8 + y = 20. 8 + y minus 8 = 20 minus 8. y = 12.
Mathematics
2 answers:
tiny-mole [99]3 years ago
5 0

Answer:

Step-by-step explanation:

Gelneren [198K]3 years ago
3 0

Answer:

Answer: The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28.

Step-by-step explanation:

Step-by-step explanation:

I did test

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Answer:

<h2><em>2ft by 2ft by 1 ft</em></h2>

Step-by-step explanation:

Total surface of the cardboard box is expressed as S = 2LW + 2WH + 2LH where L is the length of the box, W is the width and H is the height of the box. Since the cardboard box is without a lid, then the total surface area will be expressed as;

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Similarly,

dS/dl = w  + (-8l⁻²)

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Since Volume = lwh

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<em>The dimensions of the box that requires the least amount of cardboard is 2ft by 2ft by 1 ft</em>

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