Answer:
30, 60
Step-by-step explanation:
The sum of a triangles angles should be 180.
Subtract 90 because it's a right triangle.
180 - 90 = 90
Now we know the sum of the other angles should be 90.
x + 2x = 90
Solve for x.
3x = 90
x = 30
Now you substitute 30 for x.
(30), 2(30)
30, 60
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.
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<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.
The image is (6,5) i believe
Step-by-step explanation:
1) Subtract 8 from both sides.
2) Simplify 14 - 8 to 6.
3) Divide both sides by, -3.
4) Simplify 6/3 to 2.
Therefor, the answer is, a = -2.