10, subtract 2 from 12 and the answer is 10
Answer:
A
Step-by-step explanation:
Given
x² + 3x - 18
Consider the factors of the constant term (- 18) which sum to give the coefficient of the x- term (+ 3)
The factors are + 6 and - 3, since
6 × - 3 = - 18 and 6 - 3 = + 3, thus
x² + 3x - 18 = (x + 6)(x - 3) → A
Answer:
1/4
Step-by-step explanation:
So, we can create this representation of a in relation with b, since we know a is smaller than b by 1/5 of b, we can say that a is equal to 4/5 of b, right?
To invert the ratio, we need to isolate B, so we multiply both sides of the equation by 5/4
So, we have b being 1/4 bigger than a.
Answer:
(a) 63 cups
(b) 16 cups
Step-by-step explanation:
Given that the volume of the sink = (2000/3)×π in³
(a) For the cup that has diameter = 4 in. and height, h = 8 in.
The radius, r = Diameter/2 = 4/2 = 2 in.
The of a cone = 1/3×Base area × Height = 1/3 × π×r² ×h = 1/3×π×2²×8 = (32/3)×π in.³
The number of cups to scoop = (Volume of the sink)/(Volume of the cup)
The number of cups to scoop = ((2000/3)×π)/((32/3)×π ) = 125/2=62.5 cups
Rounding to the next whole number gives 62.5 cups ≈ 63 cups
(b) For the cup that has diameter = 8 in. and height, h = 8 in.
The radius, r = Diameter/2 = 8/2 = 4 in.
The of a cone = 1/3×Base area × Height = 1/3 × π×r² ×h = 1/3×π×4²×8 = (128/3)×π in.³
The number of cups to scoop = (Volume of the sink)/(Volume of the cup)
The number of cups to scoop = ((2000/3)×π)/((128/3)×π ) = 125/8=15.625 cups
Rounding to the next whole number gives 15.625 cups ≈ 16 cups.