Chef Rita Is cooking for a Sunday brunch.She knows that 22 pancakes can feed 8 people.She is wondering how many people she can f
2 answers:
Answer:
Chef Rita can feed 20 people with 55 pancakes.
Step-by-step explanation:
We can solve this problem using equivalent ratios. Since we know that Chef Rita can feed 8 people with 22 pancakes, we can set up the ratio:
To solve how many people she would be able to feed with 55 pancakes, we can set ratios equal to each other and solve for 'x' which is the number of people.
We can see what factor we multiply 22 by to get 55 and then we multiply the denominator by the same factor to get our equivalent ratio. 55 ÷ 22 = 2.5. So, 8 x 2.5 = 20 people.
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Answer:
Step-by-step explanation:
In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;
4, 8, 12, 16, 20...80
The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d
a is the first term = 4
d is the common difference = 21-8 = 8-4 = 4
n is the number of terms
On substituting, Tn = 4+(n-1)4
Tn = 4+4n-4
Tn = 4n
The nth term of the series is 4n.
Since the last term is 80, L = 4n
80 = 4n
n = 80/4
n = 20
This shows that the total number of terms in the sequence is 20
According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80 , we are to take the sum of the first 20terms of the sequence. Using summation notation;
4 + 8 + 12 + 16 + 20+ . . . + 80 =