Answer:
The dimension of the larger bin is x and the smaller bin is
.
Step-by-step explanation:
Let the dimension of the larger bin is x.
It is given that the dimension of the smaller bin can be found by dilating the dimension of the larger bin by a scale factor of 0.75
In order to find the dimension of the smaller bin multiply the dimension of the larger bin by 0.75

Hence, the dimension of the larger bin is x and the smaller bin is
.
Answer:
30% probability that the ball taken from B is red.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
Red ball from urn A:
3/6 = 1/2 probability of getting a red ball from urn A.
Then urn B will have 5 balls, 2 of which are red, so 2/5 probability of getting a red ball.
Blue ball from urn A:
3/6 = 1/2 probability of getting a blue ball from urn A.
Then urn B will have 5 balls, 1 of which is red, so 1/5 probability of getting a red ball.
Total:

3/10 = 0.3 = 30%.
30% probability that the ball taken from B is red.
Answer: Choice A
The volume expression is 4/3 times pi times (3x)^3
===================================================
The volume of a sphere is found through the formula
V = (4/3)*pi*r^3
so we start with the fraction 4/3, multiply it with pi, and then multiply it with r^3
In this case, the radius is r = 3x because this is half of the diameter d = 6x
We simply replace the r with 3x in that formula above
V = (4/3)*pi*r^3
V = (4/3)*pi*( r )^3
V = (4/3)*pi*(3x)^3 ... replace r with 3x
The solution would be like this for this specific problem:


The correct sequence of operations when solving
negative one over five (x − 25) = 7 would be multiply each side by −5, and adding
25 to each side.
Answer:
24 is the largest fraction fell by 12 to 19