Based on the calculations, we can predict that 2, 3, 4, 5, etc., will make the inequality true.
<h3>How to solve an inequality?</h3>
In Mathematics, an inequality can be used to show the relationship between two (2) or more integers and variables in an equation.
Evaluating the given inequality, we have:
-1 ≤ x/2
-2 ≤ x
x ≥ 2.
Therefore, we can predict that 2, 3, 4, 5, etc., will make the inequality true.
Next, we would complete the table to check our prediction:
x -4 -3 -2 -1 0 1 2 3 4
x/2 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2
When x = -2:
-1 ≤ -2 (false)
When x = 2:
-1 ≤ 1 (true)
When x = 3:
-1 ≤ 3 (true)
When x = 4:
-1 ≤ 4 (true)
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<u>Complete Question:</u>
1. a. Consider the inequality -1 ≤ x/2.
i. Predict which values of will make the inequality true.
ii. Complete the table to check your prediction.
Given:
Of the 50 students in the cafeteria, 7 have red hair.
Total number of students = 750
To find:
The proportion that could be used to predict the number of students who have red hair.
Solution:
Let x represent the number of students who have red hair.
The ratio of student having red hair to the total number of students are
The number of students having red hair is proportional to the total number of students. So, the above ratios are equal.
Multiply both sides by 750.
Therefore, the required equation is and the number of students who have red hair is 105.
The amount gotten after $1689 invested for 4 years at 3% compounded annually is $1901
The amount of money gained after an investment is compounded is given by:
Where P is principal, A is the final amount, r is the rate, n is the number of times compounded per period and t is the time
Given that P = $1689, t = 4, r = 3% = 0.03, n = 1, hence:
The amount gotten after $1689 invested for 4 years at 3% compounded annually is $1901
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The distance traveled by Mr.Nersin = 4 miles
The time for which Mr.Nersin rode first = 1/2 hour
The time for which Mr.Nersin rode after a short rest = 1/10 hour
Then
The total time for which Mr.Nersin rode = (1/2) + (1/10) hour
= (5 + 1)/10 hour
= 6/10 hour
= 3/5 hour
So
Average speed of Mr. Nersin = Distance traveled / Time taken
= 4/(3/5) miles/hour
= (4 * 5)/3 miles/hour
= 20/3 miles/hour
= 6 2/3 miles/hour
= 6.67 miles per hour
So the average speed at which Mr.Nersin traveled is 6 2/3 or 6.67 miles per hour.
Answer:
2.2 x10= = 22.2 =22 million.
Step-by-step explanation:
