John and his son are building a boxcar for a group competition. according to the rules of the competition, the length of the car must be 3 inches
greater than its width. also, the width of the car must be at least 2 inches greater than the radii of the wheels.
when they signed up for the competition, they were given a kit containing everything they needed to build the car except for the base and the wheels.
according to the rules of the competition, they must spend no more than $50. the cost of the base will be $0.50 per square inch and the cost of each
of the 4 wheels will be $2.25 per inch of radius.
if x represents the width of the car and y represents the radii of the wheels, then which of the following systems of inequalities can be used to
determine the length and width of the car and the radii of the wheels?
a. yr - 2
b.
y > i + 2
vi

the correct answer is 45x

9×5=45 then add the x

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;