First term: a1 = 151
common difference: d = -14 (we decrease by 14 each time, eg, 151-14 = 137)
nth term of this arithmetic sequence is...
an = a1+d(n-1)
an = 151+(-14)(n-1)
an = 151-14n+14
an = -14n+165
This will be used in the formula below
Sn = n*(a1+an)/2
<span>Sn = n*(151+(-14n+165))/2
</span><span>S26 = 26*(151+(-14*26+165))/2 ... replace every n with 26
</span>S26 = -624
The final answer here is choice C) -624
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Answer:
The fraction is
Step-by-step explanation:
=
Where x and y are the numerator and denominator of our new fraction respectively.
Also given is that x + y = 24
So = 36 ÷ 60 = 0.6
x = 0.6y
Substituting x in x + y = 24 gives;
0.6y + y = 24 , 1.6y = 24
y = 24 ÷ 1.6 = 15
x = 24 - 15 = 9
So our fraction is
To find how much lemonade the pitcher can hold, you will add the amounts that he drank and remained to get a total. This total would be the starting amount.
8 oz + 8 oz + 24 oz = 40 ounces
The pitcher originally held 40 ounces of lemonade.
to get an A, she needs >=160 points and she already has 125 points
let 'x' be the number of points on the last part of her project then
125 + x >= 160
x >= 160 - 125
x >= 35
Sarah needs at least 35 points on the last part of her project.