Answer:
64/3 tablespoons of sugar for 32 ounces of water
Step-by-step explanation:
In these kinds of questions it is nice to find how muc of 1 thing there is for every ONE of another. so 8 tablespoons of sugar for 12 ouncesof water you can divide both sides by 8 or 12.
Dividing it by 8 gets 8/8 = 1 tablespoon of sugar for 12/8 = 1.5 ounces of water.
Dividing by 12 gets 8/12 = 2/3 tablespoon of sugar for 12/12 = 1 ounce of water.
Now you can take one or the other and multiply it to fit whichever you want to fit a ratio.
It asks what happens if you use 32 ounces of water, so lets use the ratio where we hae 1 ounce, then multiply everything by 32.
2/3 tablespoon of sugar for 1 ounce of water
Multiply by 32 and you get 32*(2/3) = 64/3 tablespoons of sugar for 32 ounces of water
Answer:
sum of 22nd = 1,428.05
sum of 23 to 40 is 932.53
Step-by-step explanation:
A(n)=20(1.1)^n-1
20 is the first term or a1
1.1 is the common ratio or r
A(22) = 20(1.1)^22-1
22nd term = 20(1.1)^21
22nd term = 148.00
sum of geometric sequence
formula
Sn = a1(1-r^n)/1-r
Sn = sum
a1 = first term
n = number of term
r = constant ratio
sum of 22nd = 1,428.05.
23 to 40 is 17 terms
Sequence: 23, 25.3, 27.83, 30.613, 33.6743, 37.04173, 40.745903 ...
The 17th term: 105.684378686
Sum of the first 17 terms: 932.528165548
socratic
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