List five basic skills in problem solving related to technology
1. Technical Skills: The ability to understand and navigate various technology platforms, software applications, and devices is crucial in problem-solving. This includes knowledge of operating systems, programming languages, troubleshooting techniques, and general technical know-how.
2. Analytical Skills: Problem-solving in technology often requires analyzing complex issues, breaking them down into smaller components, and identifying patterns or trends. Analytical skills involve being able to gather and evaluate information, think critically, and make logical conclusions.
3. Research Skills: Effective problem-solving in technology often involves researching and gathering relevant information from various sources, such as online forums, technical documentation, and research papers. Being able to conduct thorough and efficient research is vital in understanding and finding possible solutions.
4. Adaptability: Technology is constantly evolving, and problems may arise due to changes in systems, updated software versions, or compatibility issues. Being adaptable and flexible in problem-solving allows individuals to quickly adjust and find alternative solutions when unexpected challenges arise.
5. Communication Skills: Strong communication skills are necessary for problem-solving, especially in team settings. It involves accurately articulating problems or issues, actively listening to others, and effectively conveying ideas or solutions to colleagues, stakeholders, or customers.
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Solve 8x+4≥52. (1 point)
x ≥ 7
x ≥ 2.5
x ≥ 11
x ≥ 6
To solve the inequality 8x + 4 ≥ 52, we can start by subtracting 4 from both sides:
8x ≥ 48
Next, we divide both sides by 8 to isolate the x variable:
x ≥ 6
Therefore, the solution to the inequality is x ≥ 6.
solve 1/4x - 3/4 is greater than 5 1/4
x is greater than 18
x is greater than 24
x is greater than 21 3/4
x is greater than 1 1/2
To solve the inequality (1/4)x - 3/4 > 5 1/4, we first find a common denominator, which is 4. We convert 5 1/4 to an improper fraction:
5 1/4 = (5*4 + 1)/4 = 21/4
Now we can rewrite the inequality:
(1/4)x - 3/4 > 21/4
Next, we can add 3/4 to both sides of the inequality:
(1/4)x > 21/4 + 3/4
Simplifying, we get:
(1/4)x > 24/4
Now, we can divide both sides of the inequality by 1/4 to isolate the variable x:
x > (24/4)/(1/4)
Simplifying further, we get:
x > 24
Therefore, the solution to the inequality is x > 24.
The sum of 4.5 and one-third a number is equal to at most 38.9. What are all the possible values of the number? How would you write an inequality that could be used to solve this problem? (1 point)
4.5+1/3+ n ≤ 38.9, where n is equal to the number.
1/3 n + 4.5 = 38.9, where n is equal to the number.
1/3 n + 4.5 is greater than or equal to 38.9, where n is equal to the number.
1/3 n + 4.5 is less than or equal to 38.9, where n is equal to the number.
To write an inequality that could be used to solve the problem, we need to remember that the sum of 4.5 and one-third of a number is at most 38.9. To express this mathematically, we can use the inequality:
4.5 + (1/3)n ≤ 38.9,
where n is the unknown number.
By rearranging the terms, we can solve for n:
(1/3)n ≤ 38.9 - 4.5,
(1/3)n ≤ 34.4,
n ≤ (34.4)/(1/3),
n ≤ 103.2.
Therefore, all possible values of the number (n) satisfy the inequality n ≤ 103.2.
Solve x + 15 greater than or equal to 3. Make sure to write your inequality so that a comes first.
To solve the inequality x + 15 ≥ 3, we can rearrange it so that a comes first:
15 + x ≥ 3.
Next, we subtract 15 from both sides of the inequality:
x ≥ 3 - 15.
Simplifying, we get:
x ≥ -12.
Therefore, the solution to the inequality is x ≥ -12.
Solve x + 2 1/2 less than 8 Make sure to write your inequality so that a comes first. (1 point)
To solve the inequality x + 2 1/2 < 8, we can rearrange it so that "a" comes first:
x < 8 - 2 1/2.
Next, we subtract 2 1/2 from both sides of the inequality:
x < 5 1/2.
Therefore, the solution to the inequality is x < 5 1/2.
Solve 5x < 12. Write the improper fraction in your answer as a mixed number. Make sure to write your inequality so that x comes first. (1 point)
To solve the inequality 5x < 12, we can rearrange it so that "x" comes first:
x < 12/5.
We can simplify the improper fraction 12/5 as a mixed number:
12/5 = 2 2/5.
Therefore, the solution to the inequality is x < 2 2/5.
Solve 3.4x ≥ 23.8. Make sure to write your inequality so that x comes first. (1 point)
To solve the inequality 3.4x ≥ 23.8, we can rearrange it so that "x" comes first:
x ≥ 23.8 / 3.4.
Simplifying the division, we get:
x ≥ 7.
Therefore, the solution to the inequality is x ≥ 7.
Solve 8x - 14 ≤ 10. Make sure to write your inequality so that a comes first. (1 point)
To solve the inequality 8x - 14 ≤ 10, we can rearrange it so that "a" comes first:
8x ≤ 10 + 14.
Simplifying, we have:
8x ≤ 24.
Next, we divide both sides of the inequality by 8 to solve for "x":
x ≤ (24) / 8.
Simplifying further, we get:
x ≤ 3.
Therefore, the solution to the inequality is x ≤ 3.
Solve 5.14x+2.25 > 15.1. Write the rational number in your answer in decimal form to the tenths place. Make sure to write your inequality so that x comes first. (1 point)
To solve the inequality 5.14x + 2.25 > 15.1, we can rearrange it so that "x" comes first:
5.14x > 15.1 - 2.25.
Simplifying, we have:
5.14x > 12.85.
Next, we divide both sides of the inequality by 5.14 to solve for "x":
x > 12.85 / 5.14.
Simplifying further, we get:
x > 2.5.
Therefore, the solution to the inequality is x > 2.5.
Solve 5.14x+2.25 > 15.1 Write the rational number in your answer in decimal form to the tenths place. Make sure to write your inequality so that a comes first. (1 point)
To solve the inequality 5.14x + 2.25 > 15.1, we can rearrange it so that "a" comes first:
2.25 + 5.14x > 15.1.
Now, we subtract 2.25 from both sides of the inequality:
5.14x > 15.1 - 2.25.
Simplifying, we have:
5.14x > 12.85.
Next, we divide both sides of the inequality by 5.14 to solve for "x":
x > 12.85 / 5.14.
Rounding the decimal to the tenths place, we get:
x > 2.5.
Therefore, the solution to the inequality is x > 2.5.
Fifteen less than four times a number is more than 49. What are all the possible values of
the number? Write an inequality that could be used to solve this problem. Use the letter x as your variable and write your x term first. (1 point)
To write the inequality that could be used to solve the problem, let's represent the number as "x".
"Fifteen less than four times a number" can be written as 4x - 15.
Now, we know that this expression is "more than 49". We can write this as:
4x - 15 > 49.
Therefore, the inequality that could be used to solve this problem is 4x - 15 > 49.
Youssef is taking a trip on an airplane. He knows that to avoid extra fees his suitcase must weigh under 50 pounds. The suitcase with his clothes weighs 35 pounds. He has room, so he decides to pack some books for his trip, too. Each book weighs on average 1.2 pounds. How many books could he bring on the trip? He writes the inequality 1.2b +35 < 50, where b equals the number of books, to help figure this out. Solve his inequality. Use the letter b as your variable and write your b term first. (1 point)
To solve the inequality 1.2b + 35 < 50, where b represents the number of books, we can rearrange it so that "b" comes first:
b < (50 - 35) / 1.2
Simplifying, we have:
b < 15 / 1.2
b < 12.5
Therefore, Youssef could bring a maximum of 12 books on his trip to ensure his suitcase weighs under 50 pounds.