Bit George is 12 years old. He is 3 years older than 50% of Lola's age. How old is Lola?
To find Lola's age, we need to determine the age of 50% of Lola's age.
Let's assume Lola's age as x.
50% of Lola's age is (50/100)*x = x/2
We know that Bit George is 3 years older than 50% of Lola's age. So, we can write the equation:
Bit George's age = (x/2) + 3
Given that Bit George is 12 years old, we can set up the equation:
12 = (x/2) + 3
Simplifying the equation:
12 - 3 = x/2
9 = x/2
Multiplying both sides of the equation by 2 to eliminate the fraction:
9 * 2 = x
18 = x
Therefore, Lola is 18 years old.
Bot an 8-sided fair die has 4 faces numbered 1-4. The other 4 faces are each painted a different color and do not have a number on them. How many outcomes are in the sample space if the die is rolled once? Pick one of these answers. 2. 4. 8. 16.
The sample space refers to the set of all possible outcomes of an event.
In this case, since the die has 4 numbered faces and 4 colored faces, the sample space will consist of the numbers 1, 2, 3, 4, along with the 4 different colors.
Hence, the answer is 8.
Bot Eathan buys a rug in the shape of a semicircle with a diameter of 90 inches (in.), as shown. Whay is the area of the rug, in square inches? Round your answer to the nearest tenth.
To find the area of a semicircle, we can use the formula:
Area = (π * r^2) / 2,
where r is the radius of the semicircle.
Given that the diameter of the semicircle is 90 inches, we can find the radius by dividing the diameter by 2:
r = 90 inches / 2 = 45 inches.
Substituting the value of the radius into the formula, we get:
Area = (π * 45^2) / 2.
Using the value of π as approximately 3.14159, we can calculate the area:
Area = (3.14159 * 45^2) / 2 ≈ 3.14159 * 2025 / 2 ≈ 3183.09875 / 2 ≈ 1591.5494.
Rounding the area to the nearest tenth, we get:
Area ≈ 1591.5 square inches.
Therefore, the area of the rug is approximately 1591.5 square inches.
Bot the total cost, y, of buying soda from a vending machine is proportional to the number of sodas bought, x. Alexei draws a graph of the relationship, where the constant of proportionality is $2 per soda. Select the point where Alexei's graph will start. Then, enter values to show a different point on her graph. The line from Alexei's graph will start at the point (2, 2) or (2, 0) or (0, 2) or (0, 0). It will also pass through the point (blank, blank).
Given that the constant of proportionality is $2 per soda, and the relationship states that the total cost, y, is proportional to the number of sodas bought, x, we can use this information to find the coordinates of the points on Alexei's graph.
To determine the starting point of the graph, we need to think about the initial cost when no sodas are bought. In this case, if no sodas are bought (x = 0), the total cost would also be $0 (y = 0). Therefore, the correct starting point would be (0, 0).
To find a different point on the graph, let's take the scenario where 3 sodas are bought (x = 3). We can calculate the total cost using the constant of proportionality:
Total Cost = Constant of proportionality * Number of sodas bought.
Plugging in the values, we get:
Total Cost = $2 * 3 = $6.
Therefore, the different point on the graph would be (3, 6).
In summary, the line from Alexei's graph will start at the point (0, 0) and pass through the point (3, 6).
Bot Sasha runs on a treadmill for 40 minutes at a speed of 6.3 miles per hour. How many miles does Sasha run?
To find the distance Sasha runs, we can use the formula:
Distance = Speed × Time.
Given that Sasha runs for 40 minutes at a speed of 6.3 miles per hour, we need to convert the time from minutes to hours. There are 60 minutes in an hour, so 40 minutes is equal to 40/60 = 2/3 hours.
Plugging in the values:
Distance = 6.3 miles per hour × (2/3) hour.
Simplifying the equation:
Distance = (6.3 × 2) / 3 = 12.6 / 3 ≈ 4.2 miles.
Therefore, Sasha runs approximately 4.2 miles.