Given that the score of the student on the quiz was 25c - 10(15 - c)
It can be seen that the first term of expression for her score (i.e. 25c) shows that 25 marks were awarded to each correct answer.
The second term of the expression (i.e. 10(15 - c)) represent that 10 marks were deducted from each wrong answer.
Thus, the number of wrong answers is 15 - c.
The sum of the correct answers and the wrong answers gives the total number of questions in the quiz.
Thus, the total number of questions in the quiz is given by 15 - c + c = 15.
Therefore, there are 15 questions in the quiz.
Hi! It will be a pleasure to help you finding the solution to this problem, so let's solve each part:
<h2>PART 1.</h2><h3>Finding the correct expression.</h3><h3>Correct answer:</h3>

From the problem, we know the following data of the problem:
- Laval parked at the beach.
- Laval paid a fixed price of $4 for a pass.
- Laval paid $1.50 for each hour.
Our goal is to find the the expression for the total cost for parking at the beach for h hours. So:
Step 1: Since we have a fixed price, this value will appear in our expression:

Step 2: Since Laval paid $1.50 for each hour, this can be represented as the following expression:

Finally, we can write total cost (C) as the sum of these two expressions:

Finally, our correct option is A:

<h2>PART 2.</h2><h3>Finding h.</h3><h3>Correct answer:</h3>
5 hours
Here we have to find how many hours Laval spent at the beach knowing that he paid a total amount of $11.50. From the previous part, we know that our expression is:

Finally, he spent 5 hours at the beach
7: 2 -(4-7) + (-7) +10
2 +3 -7 +10
= 8
9: (-10) x (-5) + (-4) + 5 -(-10)
(50) -4 +5 +10
= 61
hope this helps :) (please mark brainliest!)
Answer:
No solution
Step-by-step explanation:
get rid of parentheses first by multiplying
5x-3=4x+8+x
combine like terms
5x-3=5x+8
-3=8
Answer:
Of the given geometric sequence, the first term a is 6 and its common ratio r is 2.
Step-by-step explanation:
Recall that the direct formula of a geometric sequence is given by:

Where <em>T</em>ₙ<em> </em>is the <em>n</em>th term, <em>a</em> is the initial term, and <em>r</em> is the common ratio.
We are given that the fifth term <em>T</em>₅ = 96 and the eighth term <em>T</em>₈ = 768. In other words:

Substitute and simplify:

We can rewrite the second equation as:

Substitute:

Hence:
![\displaystyle r = \sqrt[3]{\frac{768}{96}} = \sqrt[3]{8} = 2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B768%7D%7B96%7D%7D%20%3D%20%5Csqrt%5B3%5D%7B8%7D%20%3D%202)
So, the common ratio <em>r</em> is two.
Using the first equation, we can solve for the initial term:

In conclusion, of the given geometric sequence, the first term <em>a</em> is 6 and its common ratio <em>r</em> is 2.