A restraint has one type of lemonade that is 12% sugar and another that is 7% sugar. How many gallons of each type does the rest
aurant need to make 20 gallons of a lemonade mixture that is 10% sugar?
1 answer:
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Answer:
A. 10cm
B. 8 times
Step-by-step explanation:
The question is on volume of a conical container
Volume of a cone=
where r is the radius of base and h is the height of the cone
Given diameter= 12 cm, thus radius r=12/2 =6 cm
h=10 cm
B.
If height and diameter were doubled
New height = 2×10 =20 cm
New diameter = 2×12 = 24, r=12 cm
volume =
To find the number of times we divide new volume with the old volume
2018 is the 70th term of the progression.
Explanation
We start out finding the common difference of the progression:
46-17 = 29
Now we write the explicit formula for the sequence. It is of the form
We set this equal to 2018 to see if the answer is a whole number. If it is, it will be the term number that gives us 2018:
2018=17+29(n-1)
Using the distributive property,
2018=17+29*n-29*1
2018=17+29n-29
Combine like terms:
2018=29n-12
Add 12 to both sides:
2018+12=29n-12+12
2030=29n
Divide both sides by 29:
2030/29=29n/29
70=n
Since n=70, this means 2018 is the 70th term of the sequence.
Explanation
We start out finding the common difference of the progression:
46-17 = 29
Now we write the explicit formula for the sequence. It is of the form
We set this equal to 2018 to see if the answer is a whole number. If it is, it will be the term number that gives us 2018:
2018=17+29(n-1)
Using the distributive property,
2018=17+29*n-29*1
2018=17+29n-29
Combine like terms:
2018=29n-12
Add 12 to both sides:
2018+12=29n-12+12
2030=29n
Divide both sides by 29:
2030/29=29n/29
70=n
Since n=70, this means 2018 is the 70th term of the sequence.