The attached image represents the interval 2 < x ≤ 9 on the number line
<h3>How to highlight the interval?</h3>
The interval is given as:
2 < x ≤ 9
The above interval means that:
- 2 is exclusive of the values of x (because of the < inequality symbol)
- 9 is inclusive of the values of x (because of the ≤ inequality symbol)
In inequality, the < symbol uses an open circle, while the ≤ uses a closed circle
Next, we highlight the interval using the above rules (see attachment)
Read more about inequality at:
brainly.com/question/24372553
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Answer:
number of adults tickets sold = x = 90
number of teachers tickets = y = 45
number of students tickets = z = 145
Step-by-step explanation:
Cost of tickets
Adults = $6
Teachers = $4
Students = $2
Total tickets sold = 280
Total revenue = $1010
Let
x = number of adults tickets
y = number of teachers tickets
z = number of students tickets
x + y + z = 280
6x + 4y + 2z = 1010
If the number of adult tickets sold was twice the number of teacher tickets
x = 2y
Substitute x=2y into the equations
x + y + z = 280
6x + 4y + 2z = 1010
2y + y + z = 280
6(2y) + 4y + 2z = 1010
3y + z = 280
12y + 4y + 2z = 1010
3y + z = 280 (1)
16y + 2z = 1010 (2)
Multiply (1) by 2
6y + 2z = 560 (3)
16y + 2z = 1010
Subtract (3) from (2)
16y - 6y = 1010 - 560
10y = 450
Divide both sides by 10
y = 450/10
= 45
y = 45
Substitute y=45 into (1)
3y + z = 280
3(45) + z = 280
135 + z = 280
z = 280 - 135
= 145
z = 145
Substitute the values of y and z into
x + y + z = 280
x + 45 + 145 = 280
x + 190 = 280
x = 280 - 190
= 90
x = 90
Therefore,
number of adults tickets sold = x = 90
number of teachers tickets = y = 45
number of students tickets = z = 145
Answer:
1/2-3/8
Step-by-step explanation:
Convert to decimals and round to nearest tenth. 1/2=50% 3/8= 37.5% 1/8=12.5%
50-37.5=12.5
