Given situation: Reggie picked 3 3/4 quarts of blueberries and 4 1/3 quarts of raspberries at a fruit farm. Question: About how many total of berries did he pick?Since we have 2 fractions with different denominator, let us first convert it to have the same denominator then add.=> 3 3/4 = convert to improper fraction=> (4 * 3 = 12 + 3 = 15) = 15/4Second Fraction=> 4 1/3 = convert to improper fractoin also=> (3 * 4 = 12 + 1 = 13) = 13/3Now, let's find the less common denominator=> 15/4 + 13/3 = 45/12 + 52/12=> 45/12 + 52/12 = 97 / 12<span>=> 8 8/100</span>
You can tell if this is proportional even without graphing it. The x values on Table F jump inconsistently while y values stay consistent. Table G, however, both values stay consistent.
Answer:
The answer to your question is x = 10
Step-by-step explanation:
Use proportions to solve this problem
Given (x + 4)/8 = (2x + 1)/12
12(x + 4) = 8(2x + 1)
Expand
12x + 48 = 16x + 8
Group like terms
12x - 16x = - 48 + 8
Simplify
-4x = -40
Solve for x
x = -40/-4
Result
x = 10
