Answer: I don't know how to type the infinity symbol on my phone but..
(-infinity, -5)
Basically x can be anything less than -5.
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Answer:
28.83 ≤ x ≤ 33.17
Step-by-step explanation:
7% of 31 is ...
0.07 × 31 = 2.17
When we say the value can vary from 31 by 7%, we usually mean it can go that much lower or higher. For some value x, this means ...
31 -2.17 ≤ x ≤ 31 +2.17
28.83 ≤ x ≤ 33.17
Answer:
x = 10
Step-by-step explanation:
3x + 14 + 68 = 12x - 8
Combine like terms:
3x + 82 = 12x - 8
Subtract 3x from both sides.
82 = 9x - 8
Add 8 to both sides.
90 - 9x
Now, divide both sides by nine.
x = 10
Answer:
Option 2
Step-by-step explanation:
A is symmetrical
B ie skewed towards right. The data value of 10 disturbs its symmetry
The denominators are: 10, 20, and 12
The LCD (lowest common denominator) is 60 as this is the smallest multiple of 10, 20, and 12.
Get each fraction to have a denominator of 60
3/10 = (3/10)*(6/6) = (3*6)/(10*6) = 18/60
3/20 = (3/20)*(3/3) = (3*3)/(20*3) = 9/60
1/12 = (1/12)*(5/5) = (1*5)/(12*5) = 5/60
The fractions
3/10, 3/20, and 1/12
are equivalent to
18/60, 9/60, and 5/60
in that exact order
Add up the second set of fractions to get
(18/60) + (9/60) + (5/60) = (18+9+5)/60 = 32/60 = 8/15
The result of adding the fractions and reducing leads to 8/15 meaning that Alan takes 8/15 of the journey to use his car, bike and boat
The rest of the journey (7/15) is done walking
Multiply this with the total distance 140
(7/15)*140 = (7/15)*(140/1)
(7/15)*140 = (7*140)/(15*1)
(7/15)*140 = (980)/(15)
(7/15)*140 = (975+5)/15
(7/15)*140 = (975/15)+(5/15)
(7/15)*140 = (65)+(1/3)
(7/15)*140 = 65 & 1/3
The answer as a mixed number is 65 & 1/3
The answer as an improper fraction is 980/15
The approximate answer in decimal form is 65.33 (rounded to 2 decimal places)