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:
She will have 1824.98 dollars in five years
Step-by-step explanation:
1500 X 1.04 ^ 5
For this case we have that by definition, the area of a rectangle is given by:

Where:
a, b: They are the dimensions of the rectangle.
In the statement we are told that "The area is greater than 12 square inches", then:

Also we have:

Substituting we have:

Dividing between 2 on both sides:

Finally we have:

ANswer:

Answer:
m = 17.78.
Step-by-step explanation:
Given the algebraic expression;
2.5m + 10 = 1.6m - 6
To find the value of m;
First of all, we would collect like terms.
2.5m - 1.6m = -6 - 10
0.9m = -16
m = -16/0.9
m = 17.78
(x^2)^3 is the same as x^6 which is the same as x*x*x*x*x*x