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Lerok [7]
3 years ago
6

A 100-point test contains a total of 20 questions. The multiple choice questions are worth 3 points each and the short response

questions are worth 8 points each.
Write a system of Linear Equations that represent this situation. Solve the system.


I REALLY NEED HElP WITH THE TOP PART BUT IF YOU HAVE TIME CAN YOU ANSWER THIS TWO!

How many multible choice questions are on the test?

How many short response questions are on the test?
Mathematics
1 answer:
Alex17521 [72]3 years ago
3 0

Answer: 3x+8y=100

x+y=20

x=12

y=8

Step-by-step explanation: x would represent the number of multiple choice questions and y would represent the number of short response questions. the multiple choice questions were 3 points meaning that you need to find x. the short answer response questions were 8 points meaning you need to find y. altogether you need to get 100 points. for the second equation you have 20 questions that need to be both multiple choice and short response. therefore the second equation would be x+y=20. if you solved this, the answer would be that x equals 12 and y equals 8. hope this helped! :))

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last weekend, 5% of the tickets sold at sea world were discount tickets. If sea world sold 60 tickets in all, how many discount
Ronch [10]
The percent proportion is a/b = p/100, where p is the percentage of the total fraction on the left side of the equation that you are trying to figure out.

We know that p=5, because p represents percentage, and the percentage 5% is equal to the fraction 5/100.  Also, we know that 60 = b, or the denominator as this is the entire portion that we are trying to figure out.

a/60=5/100

Now, we need to use cross products, or multiplying the numerator of one fraction by the denominator of the other, and setting them equal to one another.

100 * a = 60 * 5

If we simplify by multiplying, then we get the equation:

100a = 300

When we divide the variable by the coefficient, we get the equation

a=3

Therefore, sea world sold 3 discount tickets.

5 0
3 years ago
What are the solutions to the quadratic equation (5y + 6)2 = 24?
Ivenika [448]

Answer:

y = \frac{2\sqrt{6} }{5} -\frac{6}{5}  OR  y = \frac{-2\sqrt{6} }{5} -\frac{6}{5}

Step-by-step explanation:

Our quadratic equation is: (5y + 6)² = 24.

The first step is to square root both sides:

5y + 6 = ±√24 = ±2√6

Now subtract 6 from both sides:

5y = ±2√6 - 6

Finally divide by 5 from both sides:

y = \frac{2\sqrt{6} }{5} -\frac{6}{5}  OR  y = \frac{-2\sqrt{6} }{5} -\frac{6}{5}

And, those are the solutions to the equation.

7 0
3 years ago
Read 2 more answers
Can anyone please help me with this???
ira [324]

Answer:

x=8a

Step-by-step explanation:

(3/a) x - 4 = 20

add 4 to both sides

(3/a) x = 24

Divide by 3/a

x = 24 / (3/a)

Use KCF (keep change flip)

x = (24/1) x (a/3)

x = 24a / 3

simplify

x = 8a

3 0
3 years ago
Will give brainliest no files plz
jok3333 [9.3K]

Answer:

x=3 and y= 4 / 3 (Fraction)

Step-by-step explanation:

Substitute x for 6y-5.

2(6y−5)−3y=2

Add 6y and 3y, and multiply 5 by 2/Simplify the equation.

9y−10=2

Add  10 to both sides, and then divide each side by 9.

9y−10+10=2+10

9y / 9 = 12 / 9

y = 4/3.

Repeat the process but replace y with 4/3!

8 0
2 years ago
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1. Sarah went to dinner, and the bill was $15.25. She left a 15% tip. How
mestny [16]

Answer:

$17.54

Step-by-step explanation:

15% percent of $15.25 is $2.29 so, add them together

3 0
2 years ago
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