Answer:
3x-5> 6x- 14
Step-by-step explanation:
Let the blue ribbons be denoted by the letter x.
Then according to the given condition
3 times the blue ribbons = 3x
Decreased by 5 = 3x-5
is greater than
6 times the blue ribbons = 6x
decreased by 14 = 6x-14
Putting in one line
3x-5> 6x- 14
Solving the inequality
3x-5> 6x- 14
Taking both sides positive as in modulus
14-5 > 6x-3x
9> 3x
9/3 > x
3> x
Again solving for inequality
3x-5> 6x- 14
Taking one side negative that is mod
3x-5> -6x + 14
3x+ 6x > 14+5
9x> 19
x > 19/9
x > 2.11
so x lies between 2 and 3
3 > x > 2.11
Now putting the values for x= 19
3x-5> 6x- 14
57-5> 114-14
52 > 100 False
Now putting the values for x= 3
3x-5> 6x- 14
9-5> 18-14
4>4 False
Now putting the values for x= 2
3x-5> 6x- 14
6-5> 12-14
1> -2 True
There are 2 blue ribbons
A1 is the 1st term
r is the difference, they can say "r" or "d" for the difference
1st a1 is the first term = -3
2nd "r" is the difference between each consecutive terms (coming after each other) = 1.5
the rule to get any term of the sequence as we add 1.5 each time is --> a1+(n-1)*d
a1 --> 1st term , n --> order of the term u want whether 2nd, 3rd , 25th
d --> difference
so to get the 2nd--> -3+(2-1)*1.5= -1.5
to get the 3rd --> -3 +(3-1)*1.5 = 0
<span>and so on </span>
Circle Circumference= 2πr
Diameter is given, but the formula requires the radius.
Radius= diameter ÷ 2= 1/2 ÷ 2= 1/2 * 1/2= 1/4= 0.25
C= circumference
π= 3.14
C= 2πr
substitute in numbers
C= 2(3.14)(.25)
C= 1.57 rounded to 1.6 miles
ANSWER: 1.6 miles
Hope this helps! :)
Since 1/2x is the slope, it is proportional. The equation has a constant rise/run.
