The correct option is (b). -|24| < (is Less than) |24|.
A mathematical symbol used to indicate an inequality between two values is the less-than sign. At writings from as early as the 1560s, the commonly used form of two equal-length strokes connecting in an acute angle at the left,, has been discovered.
The symbol for less than is. The comparative terms "greater than" and "equal to" are two more (less than or equal to).
As a result, is the inequality sign for at least. No more than denotes something that is less than or equal to. It is indicated by the symbol in inequality. Consequently, is the inequality symbol for no more than.
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Answer:
5 hours
Step-by-step explanation:
Let's express each scenario as a function in a slope-intercept form, y = mx + b,
Where,
y = total amount of water
x = number of hours
m = rate of at which water is drained or filled per hour
b = initial quantity of water in the tank
✔️Equation for Tank A:
m = 2 gallons/hour = 2
b = 100 gallons = 100
Substitute m = 2 and b = 100 into y = mx + b:
y = 2x + 100
✔️Equation for Tank B:
m = 6 gallons/hour = -6 (this is negative 6 because water drains)
b = 140 gallons = 140
Substitute the values into y = mx + b
y = -6x + 140
✔️Set the two equation equal together to determine the number of hours (x) that must pass for the total amount of water (y) in tank A and tank B to be the same.
2x + 100 = -6x + 140
Collect like terms
2x + 6x = -100 + 140
8x = 40
Divide both sides by 8
x = 40/8
x = 5
Therefore, 5 hours must pass for the total amount of water in both tanks to be the same.
Answer:
3 student.
Step-by-step explanation:
From the first statement:
Let the total score be T
Let the total number of student be x
The average of the score = 72
Average = Tota score / number of student
72 = T/x
Cross multiply
T = 72x ..... (1)
Second statement:
One more student took the test and the average becomes 76 with the student having a score of 88.
Therefore,
Overall score = T + 88
Total student = x + 1
Average = 76
Average = overall score / total number of student
76 = (T + 88) /(x + 1)
Cross multiply
76(x + 1) = T + 88
Clear bracket
76x + 76 = T + 88
From equation 1
T = 72x
76x + 76 = 72x + 88
Collect like terms
76x – 72x = 88 – 76
4x = 12
Divide both side by the coefficient of x i.e 4
x = 12/4
x = 3
Therefore, the initial number of the student were 3.
You can take 8,000 and times it by 0.03. your answer is 2,500
Answer:
x = 9
Step-by-step explanation:
2x - 3 = 15
2x = 15 + 3
2x = 18 (divide both sides by 2 to get x)
2x/2 = 18/2
x = 9
