Answer:
<u>The Springfield Movie Theater last Thursday sold 65 adult tickets and 24 children's tickets.</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the problem correctly:
Price of adult ticket = US$ 4.10
Price of children ticket = US$ 2.70
Last Thursday total collection = US$ 331.30
Total movie watchers = 89
Number of adults = x
Number of children = y
2. How many of each type of ticket were sold on Thursday?
Let's build our equations system to answer the question, this way:
x + y = 89
4.10x + 2.70y = 331.30
Solving for x on the 1st equation:
x + y = 89
x = 89 - y
Replacing x on the 2nd equation and solving for y:
4.10x + 2.70y = 331.30
4.10 (89 - y) + 2.70y = 331.30
364.90 - 4.10y + 2.70y = 331.30
-1.40y = 331.30 - 364.90
-1.40y = - 33.60
y = -33.60/-1.40
y = 24
Solving for x:
x + y = 89
x + 24 = 89
x = 89 - 24
x = 65
Proof of x = 65 and y = 24
4.10x + 2.70y = 331.30
4.10 * 65 + 2.70 * 24 = 331.30
266.50 + 64.80 = 331.30
331.30 = 331.30
We proved that x = 65 and y = 24 are correct
Answer:
Part a)
The quantity of fruit pies sold was 
The quantity of juice bottles sold was 
Part b) Mr. Kelly’s class earned more money
part c) 
Step-by-step explanation:
Part a)
Let
x-----> quantity of fruit pies sold
y----> quantity of juice bottles sold
we know that

-----> equation A
----> equation B
substitute equation A in equation B
bottles of fruit juice
Find the value of x
------>
fruit pies
Part b) Which class earned more money?
Mr. Sanchez’s class

Mr. Kelly’s class

therefore
Mr. Kelly’s class earned more money
Part c) How much more money did that class earn?
Find the difference

Answer:
Option A)

Step-by-step explanation:
We are given the following on the question:

where p(t) is the population of a colony.
For steady state solution we evaluate:

Thus, the steady state solution is a constant, k = 1000.
Thus, the correct answer is
Option A)

Find the first rate of change...
(5-6)/(2-0)=(4-5)/(4-2)=(3-4)/6-4)=-1/2
So this equation has a constant velocity which means that it is linear and can be expressed as y=mx+b where m=slope=velocity and b=y-intercept, value of y when x=0...we saw earlier that the velocity or slope is -1/2 so:
y=-x/2+b, and we can use any point to solve for b, I'll use (6,3)
3=-6/3+b
3=-2+b
b=5
So the relationship if the function:
y=-x/2+5 or more neatly...
y=(10-x)/2
Answer:
(x+3) x+7 is the answer for the first question if it's the same way my school does it. Whatever you put in parentheses is the opposite of what you think. + is going to the left. - is going to the right but those only apply when in parentheses.