Ned thought he needed 2/3 cups of flour for his donut recipe, but in order for him to get the correct amount, he needs to divide by 3/4.
Answer:
20
Step-by-step explanation:
first plug it in, then solve. Step by step:
3(5 + 2) - 1
3(7) - 1
21 - 1
20
Answer:
1) 3rd option-17,28,39,50
2) 17 and 11
3) 8 classes
Step-by-step explanation:
hope this helps
9514 1404 393
Answer:
2,664,118.8 cm³/min
Step-by-step explanation:
The diameter at the water level of 5 m is (5/8)(6 m) = 3.75 m, so the area of the water surface is ...
A = (π/4)d² = (π/4)(3.75 m)² ≈ 11.044662 m²
When rising at the rate of 24 cm/min, the volume is increasing at the rate ...
(110,446.62 cm²)(24 cm/min = 2,650718.8 cm³/min
The input volume must be sufficient to accommodate this increase as well as the leakage. Then the input volume is ...
2,650718.8 cm³/min + 13,400 cm³/min = 2,664,118.8 cm³/min
Answer:
Step-by-step explanation:
As C and D are both at y = -9, the line below V₂ is vertical and located at
x = ½(22 + (-2) = 10
The line between V₁ and V₂ will contain the point halfway between B and D.
x = ½(14 + (-2)) = 6
y = ½(7 + (-9)) = -1
(6, -1)
The slope of the line between V₁ and V₂ is the same as between V₁ and our just found midpoint between B and D
m = (5 - (-1)) / (0 - 6) = -1
so the line equation is
y = -x + 5
Which intersects x = 10 at
y = -10 + 5 = -5
V₂ = (10, -5)
The distance between V₂ and B, C, and D is
d = √((14 - 10)² + (7 - (-5))²) = √160
The distance between V₁ and B, A, and D is
d = √((-10 - 0)² + (15 - 5)²) = √200
As √200 > √160, the dump should be located at V₁ or at least √200 away from any two of the points
