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.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
step 1. Angle bisector theorem.
step 2. 14/6 = 21/ (3x - 12)
step 3. 14(3x - 12) =21(6)
step 4. 6x - 24 = 18
step 5. 6x = 42
step 6. x = 7.
#1)
Answer:
x=1 and y=12
Explanation:
y=5x+7
y=2x+10
This system should use substitution because the value of y is given in terms if x.
Substitution:
5x+7=2x+10
Solve:
3x=3
x=1
Substitute x to solve for y by plugging x into one if the original equations(doesn’t matter which one is used).
y=5x+7
y=5(1)+7
y=5+7
y=12
#2)
Answer:
x=-8 and y=2
Explanation:
y=2x+18
9y=-2x+2
This system also uses substitution. The value of y us already given in terms if c in the first equations, so we will substitute in the second equation.
Substitute:
9(2x+18)=-2x+2
Solve:
18x+162=-2x+2
20x=-160
x=-8
Now that we have the value if x, plug it into one of the original equations(doesn’t matter which equation) and substitute to find y.
y=2x+18
Substitute:
y=2(-8)+18
Solve:
y=-16+18
y=2
Answer:
use gauthmath
Step-by-step explanation:
you will thank me later
Answer:
a) Ans: 8.5 miles per hour
b) Ans: 46.75 miles
Step-by-step explanation:
a) Speed = Distance/Time
8.5/1h = 8.5 miles per hour
b) Distance = Speed x Time
8.5 miles per hour x 5.5h = 46.75 miles
