Answer: I think its (D) Graph D
Step-by-step explanation: Hope this helps!
Answer: 22 degrees
Step-by-step explanation:
Since the angle 180° is in the third quadrant, subtract 180° from 202°.
Answer:
x = 7 and y = -2
Given:
x = 5y + 17 _____first equation
2x + 3y = 8 ____second equation
Steps:
2x + 3y = 8
<em>plug in x = 5y + 17 into second equation</em>
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2(5y + 17)+3y = 8 [ open the brackets ]
10y + 34 + 3y = 8
10y + 3y = 8 - 34 [ collect and group terms ]
13y = -26 [ divide both sides by 13 ]
y = -2 [ final answer ]
solve for x:
x = 5y + 17
x = 5(-2) + 17
x = 7
Answer
D. -3x + 4(2x-6) + 5
Step-by-step explanation:
-3x has nothing attached to it so leave it alone
4 times 2x equals 8x and 4 times -6 equals -24
add 5
8x-3x=5x
-24 + 5 = -19
5x - 19
Answer:
- 280 student tickets
- 520 adult tickets
Step-by-step explanation:
You may recognize that you are given two relationships between two unknowns. You can write equations for that.
You are asked for numbers of adult tickets and of student tickets. It often works well to let the values you're asked for be represented by variables. We can choose "a" for the number of adult tickets, and "s" for the number of student tickets. Then the problem statement tells us the relationships ...
a + s = 800 . . . . . . 800 tickets were sold
12.50a + 7.50s = 8600 . . . . . . . revenue from sales was 8600
(You are supposed to know that the revenue from selling "a" adult tickets is found by multiplying the ticket price by the number of tickets: 12.50a.)
___
You can solve these two equations any number of ways. One way is to do it by <em>elimination</em>. We can multiply the first equation by 12.50 and subtract the second equation:
12.50(a +s) -(12.50a +7.50s) = 12.50(800) -(8600)
5s = 1400 . . . . simplify. (The "a" variable has been eliminated.)
s = 280 . . . . . . divide by 5
Then the number of adult tickets can be found from the first equation:
a + 280 = 800
a = 520
280 student tickets and 520 adult tickets were sold.
