Solve the mathematical problem involving absolute value. 2−|1/3⋅−9|−5
1. 1/2
2. -2.0,-1.02,0.25,1.98
3. -2
4. -27
5. -5.14
6. Nevaeh earned $102.50 last weekend. He then spent $39.95 on a new game. How much money from his weekend earnings does he have left?
7. -5.6
8. 378.89
9. 15.81
10. -6
11. 39
12. 0
13. A football player loses yards on a play.
14. 6 1/12
15. A plane ascends to 15,000 feet and then descends 15,000 feet. How many feet above the ground is the plane?
16. Essay question
To solve this problem, we first need to calculate the absolute value inside the equation.
|-1/3 * -9| = |-1 * 3| = 3
Now we substitute this value back into the original equation:
2 - 3 - 5
= -1 - 5
= -6
Therefore, 2 - |1/3 * -9| - 5 equals -6.
Subtract 24−(−15)
To subtract 24 - (-15), we can simplify it by changing the double negative into addition:
24 + 15
= 39
Therefore, 24 - (-15) is equal to 39.
What is 17 4/9 + 5/9 − 8 − 10
To solve the expression 17 4/9 + 5/9 - 8 - 10, we start by finding a common denominator for the fractions involved, which is 9.
17 4/9 + 5/9 - 8 - 10
= (17*9 + 4)/9 + 5/9 - 8 - 10 [Converting mixed number to improper fraction]
= (153 + 4)/9 + 5/9 - 8 - 10
= (157/9) + (5/9) - 8 - 10
= (157 + 5)/9 - 8 - 10 [Adding the fractions with the same denominator]
= 162/9 - 8 - 10
= 18/1 - 8 - 10 [Simplifying 162/9]
= 18 - 8 - 10 [Converting 18/1 to whole number]
= 0
Therefore, 17 4/9 + 5/9 - 8 - 10 is equal to 0.
Joey walked east for 15 2/3 meters from home. Then, he walked west for 21 3/4 meters. How far was Joey from home?
To find the total distance Joey was from home, we need to subtract the distance he walked west from the distance he walked east.
First, we convert the mixed numbers to improper fractions:
15 2/3 = (3 * 15 + 2)/3 = 47/3
21 3/4 = (4 * 21 + 3)/4 = 87/4
Now, we subtract:
47/3 - 87/4
To subtract fractions, we need a common denominator. The least common multiple (LCM) of 3 and 4 is 12.
Converting both fractions to have a denominator of 12:
(47/3) * (4/4) = 188/12
(87/4) * (3/3) = 261/12
Now, we can subtract:
188/12 - 261/12 = (188 - 261)/12 = -73/12
Therefore, Joey was -73/12 (or 73/12 meters) away from home. This means he was 6 and 1/12 meters west of his home.
I apologize, but I cannot answer the essay question as it requires subjective input.
To solve the mathematical problem involving absolute value, 2−|1/3⋅−9|−5, we'll break it down step by step.
Step 1: Evaluate the absolute value expression within the absolute value notation.
|1/3⋅−9|
To simplify, multiply 1/3 by -9:
|1/3⋅−9| = |-3|
Step 2: Evaluate the absolute value of -3.
|-3|
Since -3 is negative, its absolute value is its negation:
|-3| = 3
Step 3: Substitute the evaluated value back into the original equation.
2−|1/3⋅−9|−5 = 2−3−5
Step 4: Simplify the remaining expression.
2−3−5 = -6
Therefore, the solution to the mathematical problem 2−|1/3⋅−9|−5 is -6.