At a local high school, enrollment in the drama club increases by 5%. the common ratio will be 1.05.
<h3>What is the percentage?</h3>
A percentage is a minimum number or ratio that is measured by a fraction of 100.
At a local high school, enrollment in the drama club increases by 5%.
Let an initial number of students in high school be 'a'.
so next year increase in students will be = 5% of a
= 5/100 × a
= 0.05a
and total number of the students will be = ( a + 0.05a )
= ( 1.05a )
So common ratio of the geometric square formed
( 1.05a )/ a = 1.05
Therefore, the common ratio will be 1.05.
Learn more about percentages;
brainly.com/question/14816043
Answer:
9. a = -1
10. b = 20
Step-by-step explanation:
The term "cross multiplying" is used to describe the appearance of the result of multiplying both sides of the equation by the product of the denominators. The result is the left numerator is multiplied by the right denominator, and the right numerator is multiplied by the left denominator. The property of equality that supports this is the multiplication property of equality, which tells you the values of the variables are unchanged if you multiply both sides by the same thing. That multiplier is chosen so that it cancels the denominators.
__
<h3>9.</h3>

__
<h3>10.</h3>

_____
<em>Additional comments</em>
Here are the answer checks:
9. (2(-1) -5)/(3(-1)-4) = (2(-1)-3)/(3(-1)-2) ⇒ -7/-7 = -5/-5 . . . yes
10. (10 -2)/(10 -6) = (10 +2)/(10 -4) ⇒ 8/4 = 12/6 . . . yes
__
Sometimes this method of solving the problem will result in extraneous solutions. Those will generally be values of the variable that make one or more of the denominators be zero. You must be careful to exclude those values from any possible solution set.
I am not positive, but I believe 23. sorry in advance if I’m wrong.
18 + 22 + 35 + 40 = 115
So the customer spent $115 and then returned the most expensive ($40) item.
115 - 40 = 75
So after the refund the customer has spent $75.
Hope it helps!