a recipe calls for 6 cups of brown sugar for every 2 cups of white sugar. How many cups of brown sugar is required for every cup
1 answer:
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Answer:
B
Step-by-step explanation:
+ 6 = x ( subtract 6 from both sides )
= x - 6 ( square both sides )
x = (x - 6)² ← expand using FOIL
x = x² - 12x + 36 ( subtract x from both sides )
0 = x² - 13x + 36 , that is
x² - 13x + 36 = 0 ← in standard form
(x - 4)(x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 9 = 0 ⇒ x = 9
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = 4
left side = + 6 = 2 + 6 = 8
right side = x = 4
Since 8 ≠ 4 then x = 4 is an extraneous solution
x = 9
left side = + 6 = 3 + 6 = 9
right side = x = 9
Thus the solution is x = 9 → B
Answer:
Area = 1.54
Step-by-step explanation:
Area = π
π = 3.14
diameter = 1.4
radius (half of diameter) = 0.7
Area = 3.14 x
Area = 3.14 x 0.49
Area = 1.5386
round to the nearest hundredth:
1.5386 = 1.54
radius = 3 feet
rearrange the formula making r the subject
πr³ = V ( multiply both sides by 3 to eliminate fraction )
4πr³ = 3V ( divide both sides by 4π )
r³ = = ( 3 × 36π ) / 4π = 3 × 9 = 27
take the cube root of both sides
r = = 3