Answer: The number of $12 tickets and $15 sold are 120 and 180 respectively.
Step-by-step explanation:
The given equation is:
12x + 15y = 4140 .....(1)
Where,
x stands for $12 tickets and y stands for $15 tickets
According to the question:
x + y = 300 ....(2)
Now solving equation 1 and 2.
From equation 2:
x = 300 - y
Now putting this expression in equation 1.
12x + 15y = 4140
12(300 - y) + 15y = 4140
3600 - 12y + 15y = 4140
3600 + 3y = 4140
3y = 4140 - 3600
3y = 540
y = 180
And,
x = 300 - y = 300 - 180 = 120
The number of $12 tickets sold = x = 120
The number of $15 tickets sold = y = 180
Thus, the number of $12 tickets and $15 sold are 120 and 180 respectively.
Solve the equation to get values for x and y.
For example,
When x is 0,
y = 1
You have one point on the line (0,1)
Now, when y = 0,
x = 36/5 = 7.2
You have one more point on the line (7.2,0)
Plot these points on the x and y axes.
Draw a straight line joining these two points. ( I hope you can plot the points)
Answer:
18
Step-by-step explanation:
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∠QRS and ∠CDE are congruent.
∠RST and ∠DEB are congruent.
∠STQ and ∠EBC are congruent.
∠TQR and ∠BCD are congruent.
You can conclude the above angles are congruent because ∠R and ∠D has the same sign on their angle and so does ∠S and ∠E.
1002
The equation ( x + 1 ) + ( x + 2 ) + ( x + 3) = 3009
We do 1 + 2 + 3 = 6
Subtract 3009 with 6 = 3003
We have 3x = 3003
Divide 3003 / 3 = 1001
x = 1001
Let's use our equation!
1002 + 1003 + 1004 = 3009