The unit rate is -1/3.
In direct variation, y varies directly to x by a constant ratio k.
Its equation looks like this: y = kx ; where k stands for the constant ratio.
In the above equation. x = -3y, it should be converted to the proper equation. both sides must be transferred and its accompanying sign must be changed.
3y = -x
3y/3 = -x/3
y = (-1/3)x
where: y is the total value; -1/3 is the unit rate; and x is the number of units
Answer:
Chick-Fil- A
Step-by-step explanation:
They got waffle fries there
Answer:
Scalene
Step-by-step explanation:
The sizes of all the sides are different!
Answer:
D. 68.00%
Step-by-step explanation:
Population mean time (μ) = 32 hours
Standard deviation (σ) = 2 hours
Assuming a normal distribution, for any given number of hours 'X', the z-score is determined by:
For X=30
For a z-score of -1, 'X' corresponds to the 15.87-th percentile of a normal distribution.
For X=34
For a z-score of 1, 'X' corresponds to the 84.13-th percentile of a normal distribution.
The percentage of the garages that take between 30 and 34 hours to erect is:

The percentage is roughly 68%.
Step-by-step explanation:
2a. The block of wood has the shape of a rectangular prism. The log has the shape of a cylinder.
2b. Density is mass divided by volume. We know the mass, but we need to find the volume.
Volume of a rectangular prism is:
V = whl
where w is the width, h is the height, and l is the length
V = (18)(10)(8)
V = 1440 in³
So the density is:
d = 46.65 lbs / 1440 in³
d = 0.0324 lb/in³
2c. Volume of a cylinder is:
V = πr²h
where r is radius and h is height.
The circumference is C = 2πr, so r = C / (2π).
r = 25.12 / (2*3.14)
r = 4.00
V = 3.14 (4.00)² (21)
V = 1055.04 in³
So the density is:
d = 39.25 lb / 1055.04 in³
d = 0.0372 lb/in³
2d. The block is less dense than water; the log is more dense than water. So he should make the boat out of the block.