Answer:
6 gallons of punch makes her recipe.
Step-by-step explanation:
Given:
Quarts of ginger ale (g) = 6
Quarts of lemonade (l) = 8
Quarts of raspberry (r) = 10
Therefore, the total volume of fruto punch is equal to the sum of the volume of each of its ingredients.
So, Total volume = 
Total volume = 6 + 8 + 10 = 24 quarts
Now, we know that,
1 quart = 0.25 gallons
Therefore, from unitary method,
24 quarts = 24 × 0.25 = 6 gallons of punch
Therefore, 6 gallons of punch makes her recipe.
Simplest form add all like things 1.26x+ 11.24
Answer:
x = 9
Step-by-step explanation:
The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is
5(x - 6 + 5) = 4(x - 3 + 4)
5(x - 1) = 4(x + 1) ← distribute parenthesis on both sides
5x - 5 = 4x + 4 ( subtract 4x from both sides )
x - 5 = 4 ( add 5 to both sides )
x = 9
Volume of the cube with side 4p = 4p x 4p x 4p = 64p³
Volume of the cube with side 2q² = 2q² x 2q² x 2q² = 8q⁶
Total Volume = 64p³ + 8q⁶
Total Volume = (4p)³ + (2q²)³
Total Volume = (4p + 2q²)( ( 4p)² - (4p)(2q²) + (2q²)²)
Total Volume = (4p + 2q²)( 16p² - 8pq² + 4q⁴)
Answer: (4p + 2q²)( 16p² - 8pq² + 4q⁴)
