This question is asking for a list of fractions, that when you pull out common factors, they will all simplify back to the 8/5 fraction.
So if 2 is the common factor, you multiply the numerator and denominator by 2.
2: (8*2)/(5*2)= 16/10
3: (8*3)/5*3)= 24/15
4: (8*4)/(5*4)= 32/20
5: (8*5)/(5*5)= 40/25
10: (8*10)/5*10)= 80/50
Eloise's Potential List:
16/10, 24/15, 32/20, 40/25, 80/50
If you simplify any of these fractions above, you will get 8/5 again.
To work backwards:
80/50: 10 goes into 80, 10 goes into 50= 8/5
16/10: 2 goes into 16, 2 goes into 10= 8/5
Hope this helps! :)
Answers:
x = -8/5 or x = 8/5
Sum of the first ten terms where all terms are positive = 4092
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Explanation:
r = common ratio
- first term = 4
- second term = (first term)*(common ratio) = 4r
- third term = (second term)*(common ratio) = (4r)*r = 4r^2
The first three terms are: 4, 4r, 4r^2
We're given that the sequence is: 4, 5x, 16
Therefore, we have these two equations
Solve the second equation for r and you should find that r = -2 or r = 2 are the only possible solutions. If r = -2, then 5x = 4r solves to x = -8/5. If r = 2, then 5x = 4r solves to x = 8/5.
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To find the sum of the first n terms, we use this geometric series formula
Sn = a*(1 - r^n)/(1 - r)
We have
- a = 4 = first term
- r = 2, since we want all the terms to be positive
- n = 10 = number of terms to sum up
So,
Sn = a*(1 - r^n)/(1 - r)
S10 = 4*(1 - 2^10)/(1 - 2)
S10 = 4*(1 - 1024)/(-1)
S10 = 4*(-1023)/(-1)
S10 = 4092
Answer: y = 20x+75
Step-by-step explanation:
Hi, to answer this question we have to write an equation:
The cost (y) must be equal to the product of the cost per hour of installation (20) and the number of hours that it takes (x); plus the fixed cost of parts and installation (75).
Mathematically speaking:
y = 20x+75
Feel free to ask for more if needed or if you did not understand something
Answer:62%
Step-by-step explanation: if you divide the amount spent by the amount made you get the percentage
Answer:
0. 542
Step-by-step explanation:
