Answer:
X = 5
Step-by-step explanation:
Here is what I am picturing (not to scale)
A ----------------B-----------C
We are given the information of AB (which equals 3x + 1), BC (which equals 4x - 5), and AC (which equals 8x - 9).
With reference to the line, AB + BC = AC
So,
3x + 1 + 4x - 5 = 8x - 9
7x - 4 = 8x - 9
5 = x
Answer:
In choice A, the compound inequality x ≤ 6 OR x > 9 and the graph match the given simple inequalities
Step-by-step explanation:
In the compound inequality
- If the sign of inequality is >, then the arrow represented it pointed to the right
- If the sign of inequality is <, then the arrow represented it pointed to the left
- If the sign of inequality is ≥ or ≤, then the end of the arrow is a bold circle
- If the sign of inequality is > or <, then the end of the arrow is an empty circle
Let us solve the question
∵ x ≤ 6
∴ The arrow represents it is starting at 6 with a bold circle and
pointed to the left side
∵ x > 9
∴ The arrow represents it is starting at 9 with an empty circle and
pointed to the right side
→ Look at the graphs to find the answer that represents the information
above
In choice A
∵ an arrow with a bold end started from 6 and pointed to the left
∵ an arrow with an empty end started from 9 and pointed to the right
∴ x ≤ 6 OR x > 9 and the graph match the given simple inequalities
1.25 x 250=$312.50 as Alex’s new salary.
1.25 x 180=$225 as Ben’s new salary.
Now subtract Ben’s salary from Alex’s salary
312.50 - 225=$87.50
Alex earned $87.50 more in one month than Ben
Answer:
Step-by-step explanation:
Range = difference between the highest and the lowest
Mode = Data that occurs the most time
Median = Arrange the data in ascending order. The middle data is the median. If number of data is even, median is the average of the two middle terms.
1) Range = 28 -21 = 7
Mode = 25
Number of data (Count the total dots) = 14
Median = average of 7th and 8th term
Median = (25+25)/2 = 50/2 = 25
2) Range = 0.18 - 0.11 = 0.07
Mode = 0.15 and 0.16
Number of data = 23
Median =12th term = 0.15