You can set up a proportion to solve for the percentage of the coins that are pennies. Of course, there are alternate methods as well, but this is one method. First, you define the percentage of the coins that are pennies to be equal to a variable, such as x. Next, you write 240/600 = x/100, due to how "x" is the amount out of 100 (since per cent is for every cent (out of 100)), and 240 would correspond to x while 600 would correspond to 100. This proportion may also be written as 100/x = 600/240, or 240/x = 600/100. In order to solve for x, you use cross-products, or you multiply each denominator by the numerator of the other fraction. You will be left with a numerical value that's equal to a number times x, and then you divide both sides of the equation by the coefficient of x in order to isolate x. As a result, you will have the percentage of the coins that are pennies to be your answer. Remember to write the units for every numerator and denominator in your proportion.
Answer:
y = -1/4x+2
Step-by-step explanation:
We can find the slope by finding two points on the line, and doing (y1-y2) ÷ (x1-x2). The two points I chose were (0,2), and (4,1). We can plug this into the equation to get (2-1) ÷ (0-4), to get -1/4, which is our slope. We can see on the graph, that the line intersects with the y axis when the y coordinate is 2, making the y-int 2.
Answer:
We have that 
.
So
However, b is a probability, which means that it cannot be negative. So no, P(A ∩ B) cannot be 0.5. It can, at most, be 0.3.
Step-by-step explanation:
Event A:
Probability that a student has a Visa card.
Event B:
Probability that the student has a MasterCard.
We have that:
In which a is the probability that a student has a Visa card but not a MasterCard and 
is the probability that a student has both these cards.
By the same logic, we have that:
In this problem, we have that:
(a) Could it be the case that P(A ∩ B) = 0.5?
We have that .
So
However, b is a probability, which means that it cannot be negative. So no, P(A ∩ B) cannot be 0.5. It can, at most, be 0.3.
Answer:
Two boxes will cost 
The cost of one tile is approximately 
Step-by-step explanation:
Note that 1 ft = 12 in, then
The area of the floor is
Now
then
144 sq. in - 1 tile,
9540 sq. in - x tiles.
Mathematically,
tiles is needed to cover the floor (67 full tiles).
Each box of tiles contains 45 tiles, so Cristina has to buy 2 boxes. These two boxes will cost The cost of one tile is approximately
