Answer:
66 cm (Option B)
Step-by-step explanation:
The formula for the circumference of a circle is C = 2πr, so plug the values into the formula. The radius, (r) of a circle is one half of the diameter, so split 21 is half to get a radius of 10.5. Use 3.14 for π.
C = 2πr
C = 2(3.14)(10.5)
C = 6.28 × 10.5
C = 65.94
Rounded to the nearest unit, you get a answer of 66 cm.
Hope this helps! :)
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Value of the coin times number of coins summed up equal total value
so since we have "$2.10 in all"...
0.05n + 0.25q = 2.10
and we are told that there are "four times as many quarters as nickels"
this translates to
q = 4n
0.05n + 0.25q = 2.10
and
q = 4n
are your two equations that could be used to solve this problem
if you would like to know how many nickels and how many quarters there are, plug in q = 4n into the first equation and get
0.05n + 0.25(4n) = 2.10
multiply
0.05n + 1n = 2.10
add like terms
1.05n = 2.10
divide both sides by 1.05
n = 2.10/1.05 = 2
then plug that back into
q = 4n
so
q = 4(2) = 8
therefore you have
2 nickels
and
8 quarters
The new mean is 11
Step-by-step explanation:
The mean = sum of the numbers ÷ numbers
- The mean of a set of 5 numbers is 12
- One of the number is 16
- We need to find the new mean if 16 is removed from the set of numbers
∵ The set has 5 numbers
∵ The mean of the 5 numbers is 12
- Substitute these values in the rule of the mean above
∴ 12 = sum of the numbers ÷ 5
- Multiply both sides by 5
∴ 60 = sum of the numbers
∵ One of the number is 16
∵ 16 is removed from the set of the number
- Subtract 16 from the sum and the numbers will be four numbers
∵ The new sum = 60 - 16
∴ The new sum = 44
∵ The set has 4 numbers
∴ The new mean = 44 ÷ 4 = 11
The new mean is 11
Learn more:
You can learn more about the mean in brainly.com/question/5069437
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