Answer:
D. 1.2
Step-by-step explanation:
The sum of an arithmetic sequence is the product of the average term value and the number of terms.
The average term is often computed by averaging the first and last terms of the sequence. It can also be computed by averaging the middle two terms of the sequence (when there are an even number of terms, as here).
We are given a_13 is 1.9. We know that a_12 is 3.7 less, so is -1.8. Then the average of these two middle terms is ...
... (-1.8 + 1.9)/2 = 0.05
The product of this value and the number of terms (24) is ...
... 24·0.05 = 1.2 . . . . . the sum of 24 terms of the sequence
The amounts of sugar, butter, and flour used are 150 grams, 225 grams, and 450 grams, respectively.
Anders makes scones with three ingredients : sugar, butter, and flour. The ratio of the amounts of sugar, butter, and flour is 2:3:6. The available amounts of the ingredients in the kitchen include 200 grams of sugar, 300 grams of butter, and 450 grams of flour. He makes as many scones as he can with these ingredients.
Let the amounts of sugar, butter, and flour be 2x, 3x, and 6x, respectively. The maximum proportion is for flour. The amount of flour used is 450 grams. The amount of butter used is half of that of the flour. The amount of sugar is one-third of that of flour.
B = (3x/6x)*450 = 225
S = (2x/6x)*450 = 150
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Answer:
x + (5x-9)
Step-by-step explanation:
x stands for the number of coins Nancy has
Kevin has 9 less than 5 times what Nancy has, so his part of the expression is 5x-9
To find the total number of coins they have, you have to add Nancy's number of coins x plus Kevin's number of coins 5x-9
x + (5x-9)
But you have to put parentheses around Kevin's 5x-9 so that part of the expression is calculated first, as per order of operations
Answer:
c
Step-by-step explanation:
