For this one a simple way that you can think of it is that 1 pound of banana is equivalent to 100, 3/4 pounds of banana is 75, 1/2 pounds of banana is 50, etc.
3 1/2 pounds of banana = 350
3/4 pounds of banana = 75
If i want to find out how many loafs of banana bread I can make if ONE loaf requires 3/4 pounds of banana, and i have 3 1/2 pounds of banana then I divide:
350 / 75 = 4.66
So, with 3 1/2 pounds of bananas you can successfully create 4 loafs of banana bread. the remaining .66 is not enough banana to make another loaf.
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:
15.81
Step-by-step explanation:
Use the distance formula:
So the distance formula for two given points is
Distance= sqrt((x2-x1)^2 +(y2-y1)^2 ) =sqrt((-3-6)^2 +(-8-5)^2 )
=sqrt((-9)^2 +(-13)^2 )
=sqrt(81+169)
=sqrt(250)
=15.81
Hope this helped
:)
Answer: 11/24
Step-by-step explanation:
whenever u see this — (
it means the opposite of. so the opposite of -5/8 is +5/8.
-1/6 + 5/8 = 11/24
