Answer: d
Step-by-step explanation:
The probability of not being purple is the probability of the three other colors. Suppose the number of purple marbles is x. Then we have 20+30+40+x = 90 + x marbles. Then the probability of not being purple is 90/(90+x). If this fraction can have a lowest term for some value of x, then the numerator of this lowest term must be a factor of 90.
Checking through the options, only option D has a non-factor of 90 as its numerator.
Answer:
Second option: False
Step-by-step explanation:
You need to use the following identity:

Let be "x" the lenght of the buildings's shadow.
(Lenght of building's shadow)
You can observe in the figure that:

Substitute these values into
and solve for ""x":

Therefore, the length of its shadow IS NOT 12.94 feet.
Answer:
Percent is always out of 100
Step-by-step explanation:
Y=mx+b
solve for b
-11=-3*1/2+b
-11=-1.5+b
b=-11+1.5
b=-9.5
To identify the slope of the equation given, it would be helpful to write it in the slope-intercept form. It is expressed as y = mx + b where m is the slope. We write it as follows:
<span>27y=3x-54
y = 3x/27 - 54/27
y = x/9 - 2
Therefore, the slope is 1/9. Hope this answers the question. Have a nice day.</span>