21. no solution
22. all solutions
23. all solutions
24. x=6
25. x=2
26. no solution
27. no solution
28. all solutions
29. all solutions
I really hope this helps!
Answer:
Step-by-step explanation:
This is an arithmetic series with first term 7 and common difference 9, so the general formula for the nth term of the sequence is .
The sequence has 7 terms, so the sigma notation is:
The value of c is 233.3
Step-by-step explanation:
Given equation is:
To find the value of c, we have to isolate c on one side of the equation
So,
Adding 250 on both sides
Multiplying by 20 on both sides
Dividing both sides by 18
Rounding off to the nearest one decimal place
c=233.3
The value of c is 233.3
Keywords: Linear Equation, Solution of linear equation
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A useful formula for finding the effective rate on discounted notes is
.. (effective rate) = r/(1 -rt)
If we assume a 52-week year, the t = (13 weeks)/(52 weeks) = 1/4.
.. (effective rate) = 0.0385/(1 -0.0385/4) ≈ 0.038874 ≈ 3.89%
Answer:
A⇒35 km/hr
B⇒25 km/hr
Step-by-step explanation:
Let us call them cyclist A and B.
The rate of cyclist A will be x km/h
The rate of cyclist B will be (x-10) km/h
The total distance traveled= 120 km
Time taken =2 hours
Relative speed, since they are travelling in different directions, is arrived at by addition of their individual speeds = {x+ (x-10)}km/hr (2x-10)km/hr
Distance =speed × time
120km = (2x-10)km/hr×2
120=4x-20
4x=140
x= 35 km/hr⇒ speed for cyclist A
B⇒ (x-10) km/hr=35-10=25 km/hr