Using proportions, it is found that the estimate of the the per capita consumption from 2011 was of 29.25 gallons.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The amount in 2012 was a increase of 5.3% from 2011, that is, 105.3% = 1.053 of x, and the consumption per capita was of 30.8 gallons, hence:
1.053x = 30.8
x = 30.8/1.053
x = 29.25 gallons.
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Answer:
Isolate the variable by dividing each side by factors that don't contain the variable. Exact Form: x = 38/7 Decimal Form: x = 5.428571 Mixed Number Form: x = 5 3/7
Step-by-step explanation:
Answer:
13). -2x³ + x² + 1 14). x + 10y - 10z 15). -2x³ + x² + 1
Step-by-step explanation:
13). (x³ - x² + 4) - (3x³ - 2x² + 3)
= x³ - x² + 4 - 3x³ + 2x² - 3
= x³ - 3x³ - x² + 2x² - 3 + 4
= -2x³ + x² + 1
14). (3x + 4y - 3z) - (2x - 6y + 7z)
= 3x + 4y - 3z - 2x + 6y - 7z
= 3x - 2x + 4y + 6y - 3x - 7z
= x + 10y - 10z
15). (x³ - x² + 4) - (3x³ - 2x² + 3)
= x³ - x² + 4 - 3x³ + 2x² - 3
= x³ - 3x³ - x² + 2x² + 4 - 3
= -2x³ + x² + 1
Answer:
Step-by-step explanation:
