Answer:
A
Step-by-step explanation:
-
(x + 3) > x - 3 ( multiply both sides by 2 to clear the fraction )
- (x + 3) > 2x - 6 ← distribute parenthesis on left side by - 1
- x - 3 > 2x - 6 ( subtract 2x from both sides )
- 3x - 3 > - 6 ( add 3 to both sides )
- 3x > - 3
divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity
x < 1
Answer:
It will take them 5 hours to meet if they start moving towards eachother simultaneusly.
Step-by-step explanation:
Distance, s = 540 miles
Motocycle's speed, v = 48 mph
Time for motorcycle to cover 48 miles, t = 
=
= 11.25 h
For a car it takes 2.25 hours less than 11.25 for motorcycle:
Time for car than becomes: 11.25 - 2.25 = 9 h
Speed for car would be v(c) = 
=
= 60 mph
<em>For finding when they will meet, we will need relative speed: </em>
Since they are moving towards each other the relative speed is the sum of speed of car and the speed of motorcycle
Relative Speed = 48 + 60 = 108 mph
Distance = 540 miles
Time = 
= 
= 5 hours
So far, Jackie has read 217 pages
In order to determine the total number of pages Jackie read, we would have to determine the number of pages she read each day and add these pages together
- Number of pages she read on Monday =
x 252 = 126 pages - Number of pages she read on Tuesday = 28 pages
- Number of pages she read on Wednesday =
x 252 = 63 pages
The total number of pages she has read so far = 126 + 28 + 63 = 217 pages
A similar question was solved here: brainly.com/question/24708342?referrer=searchResults
Answer:
Base = 24 ft; height = 47 ft
Step-by-step explanation:
The formula for the area of a triangle is
A = ½bh
Let x = the base. Then
2x - 1 = the height

We reject the negative value, so x = 24 ft
Base = x = 24 ft
Height = 2x - 1 = 2(24)-1 = 48 - 1 = 47 ft
Check:
564 = ½ × 24 × 47
564 = 564
OK
Answer:
Step-by-step explanation:
Information given
represent the sample mean for the sample
population mean (variable of interest)
s=4.9 represent the sample standard deviation
n=8 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
the degrees of freedom are given by:
Since the Confidence is 0.95 or 95%, the value of
and
, and the critical value for this cae would be
Now we have everything in order to replace into formula (1):