7/8 and 3/4
Both need to have same denominator so it would be 32, in this case because 8*4 is 32.
7/32+3/32=10/32 simplified to 5/16
Answer:
3x
x
+
2
x
−
(5)(8)x
x
+2
=
−35x+2
x
Step-by-step explanation:
Answers:
x = -8/5 or x = 8/5
Sum of the first ten terms where all terms are positive = 4092
========================================================
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.
-----------------
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
I won’t give a actual answer to the equation, because I want you and anyone else to learn it. but I do want to help!
the sum is the answer to a addition problem. that means you should choose anything that falls under that.
The term is anything that is being separated by + or - so for this, choose anything like that.
The product is the final answer to a multiplication problem.
Factor- any number leading up to a answer in a problem. Example: 3 times 4 is 12. The 3 and the 4 are the factors.
Quotient- the final answer to a division problem.
Coefficient- the number separated from the rest of the problem or the number at the beginning of the problem that stands alone. Because this one is a bit harder to explain, I’ll go ahead and tell you it is 4.
Variable- the unknown number such as y or x.
I hope this helps, and good luck!! :)
Equation:
0.06(8000)+8000
We can make it simpler:
1.06(8000)
Multiply:
8480
MARCUS WILL HAVE $8480
