Answer:
1,820 trout
Step-by-step explanation:
Set up a proportion where x is the number of trout in the lake:
= 
Cross multiply and solve for x:
25x = 45,500
x = 1820
So, you could expect 1,820 trout to be in the lake.
Answer:
92 attendees had activity cards
Step-by-step explanation:
Let x be the number of students with activity cards. Then 130-x is the number without, and the total revenue is ...
7x +10(130 -x) = 1024
7x +1300 -10x = 1024 . . . . eliminate parentheses
-3x = -276 . . . . . . . . . . . . . collect terms; subtract 1300
x = 92 . . . . . . divide by 3
92 students with activity cards attended the dance.
_____
<em>Comment on the solution</em>
Often, you will see such a problem solved using two equations. For example, they might be ...
Let 'a' represent the number with an activity card; 'w' the number without. Then ...
- a+w = 130 . . . . the total number of students
- 7a +10w = 1024 . . . . the revenue from ticket sales
The problem statement asks for the value of 'a', so you want to eliminate w from these equations. You can do that using substitution. Using the first equation to write an expression for w, you have ...
w = 130-a
and making the substitution into the second equation gives ...
7a +10(130 -a) = 1024
This should look a lot like the equation we used above. There, we skipped the extra variable and went straight to the single equation we needed to solve.
Answer:
x=3, y=-2. (3, -2).
Step-by-step explanation:
4x+2y=8
5x+3y=9
---------------
simplify 4x+2y=8 into 2x+y=4
-----------------
2x+y=4
5x+3y=9
----------------
y=4-2x
5x+3(4-2x)=9
5x+12-6x=9
-x=9-12
-x=-3
x=3
2(3)+y=4
6+y=4
y=4-6
y=-2
There is no picture or anything
Answer:
A, F, and C are the correct options.
Step-by-step explanation:
