Answer:
8. -385°, 335°
9. -30°, 330°
Step-by-step explanation:
8. θ = -25°
-25-360 = -385°
-25+360 = 335°
9. θ = -390°
-390+360 = -30°
-30+360 = 330°
Answer: 10 dimes
Solve using system of equations.
q=number of quarters and d=number of dimes
.25q+.10d=5.50 because the total of dimes and quarters is $5.50
8+d=q because there are 8 more quarters than dimes
substitute 8+d for q into the first equation to get .25(8+d)+.10d=5.50
then simplify
2+.35d=5.50
.35d=3.50
d=10 he has 10 dimes
It is impossible to solve for 2 unknown variables in an equation. In order to solve this, you must think mentally.
What two numbers can you add to make 22?
A good example is 15 and 8.
Can 15 and 8 be divided into smaller numbers?
Yes.
15/3 = 5
8/2 = 4
^
Notice how I'm dividing by the coefficient? *3*c and *2*f
So C can be 5 and F can be 4.
3(5) + 2(4) = 22
15 + 8 = 22
22 = 22
Question:
The local community theater sold a total of 240 tickets for Saturday night’s performance. They sold 180 more full-price tickets than discount tickets. Which system of equations can be used to model this situation?
Answer:


Step-by-step explanation:
Given

Represent the number of full price with x and discounted price with y.
From the question:
x = 180 more than y
So:

Also, a total of 240 were sold.
So:

Hence, the equations are:


Solving further;
Substitute 180 + y for x in 


Solve for 2y


Divide through by 2

Recall that: 


Hence:
<em>Full Price = 210</em>
<em>Discounted = 30</em>
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