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salantis [7]
3 years ago
5

On a television game show, contestants earn 5 points for each correct answer, but lose 2 points for each wrong answer. On last w

eek's show, the winning contestant earned 80 points and answered 30 questions. Given that x represents the number of questions answered correctly, and y represents the number of questions answered incorrectly, determine which system of equations correctly represents this situation.
Mathematics
1 answer:
inysia [295]3 years ago
5 0

Answer:

5x-2y =80

x+y=30

Step-by-step explanation:

Basically, 5x is the points earned by correct questions (5 points per right answer) and -2x is the points lost by wrong answers (2 points taken away for every wrong answer). The total points the contestant earned is 80, which is why we set this equation equal to 80. Hence, 5x-2y=80.

They also tell us that the contestant answered a total of 30 questions, so x and y combined would be the total number of questions. Hence, x+y=30.

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Georgia works part-time at a daycare while she is going to college. She earned $160 last week. Georgia worked 12 more hours than
Lelu [443]

Answer:

B. $8

Step-by-step explanation:

Given:

Total payment, T = $160

Hourly rates = $t/hour

= total payment/total time worked

The question said, "worked 12 more hours than the amount she is paid per hour".

Total time worked = (12 + t) hour

Therefore, Hourly rates of payment, t = 160/(12 + t)

t^2 + 12t - 160 = 0

Solving the above quadratic equation,

t = -20 and 8

t = $8

3 0
3 years ago
What type of word a relationship does this analogy show
Trava [24]

Answer:

part/whole

Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
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icang [17]

Answer:

10 miles

Step-by-step explanation:

5 0
3 years ago
How to solve this one​
Stells [14]

Answer:

(-5,1)

Step-by-step explanation:

Add it together

3x - 2x = x

y - y = 0

9 - 14 = -5

x = -5

Choose a random equation, doesn't matter.

3x + y = -14

3(-5) + y = -14

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y = -14 + 15

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7 0
2 years ago
Read 2 more answers
1.
Anna11 [10]

Answer:

y/x

Step-by-step explanation:

If x is proportional to y, then:

y = kx, where k is a constant

This can be rearranged to give:

k = y/x

As mentioned, k is a constant, therefore, the answer is y/x

7 0
2 years ago
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