A store is having a three-day sale. On the first day of the sale, the price of an item is reduced by 10% from its regular price.
Each day of the sale after the first day, the price of each sale item is reduced to equal 90% of its price from the previous day.
One sale item has an original price of $10.00.
What is the price for the item on the 3rd day of the sale?
First, we need to calculate the price of the item on the first day of the sale after the 10% reduction from its original price:
$10.00 - 10% of $10.00 = $10.00 - $1.00 = $9.00
Next, we need to find the price of the item on the second day of the sale, which is 90% of the price from the first day:
90% of $9.00 = 0.90 x $9.00 = $8.10
Finally, we need to find the price of the item on the third day of the sale, which is 90% of the price from the second day:
90% of $8.10 = 0.90 x $8.10 = $7.29
Therefore, the price of the item on the 3rd day of the sale is $7.29.
Alicia shoots a basketball at a hoop 100 times. She hits the blackboard and misses with 2/5 of her shots, hits the rim and misses with 32 % of her shots, and makes the basket with the rest of her shots.
How many baskets does she make?
First, let's calculate how many shots Alicia misses when hitting the backboard:
2/5 of 100 shots = (2/5) x 100 = 40 shots that she misses by hitting the backboard
Next, let's calculate how many shots Alicia misses when hitting the rim:
32% of 100 shots = 0.32 x 100 = 32 shots that she misses by hitting the rim
Now, let's calculate the total number of shots that Alicia misses:
40 (missing by hitting the backboard) + 32 (missing by hitting the rim) = 72 shots missed
Finally, let's calculate how many shots Alicia makes:
100 total shots - 72 shots missed = 28 shots made
Therefore, Alicia makes 28 baskets.
of the 60 students who auditioned, 40% were asked to come back for a second one. After the second one, 6 students were asked to come back for a final audition.
what precentage of students from the second audition were asked to come back for the final audition?
First, let's calculate how many students were asked to come back for a second audition:
40% of 60 students = 0.40 x 60 = 24 students were asked to come back for a second audition
Next, we need to calculate the percentage of students from the second audition who were asked to come back for the final audition:
Number of students asked to come back for final audition / Number of students from the second audition * 100%
= 6 students / 24 students * 100%
= 0.25 * 100%
= 25%
Therefore, 25% of the students from the second audition were asked to come back for the final audition.
A bicycle training wheel has a radius of 3 inches. A regular bicycle wheel has a radius of 10 inches.
Approximately how much smaller, in square inches and rounded to the nearest hundredth, is the area of the training wheel than the area of a regular bicycle wheel?
The area of a circle is given by the formula: A = πr^2.
For the training wheel with a radius of 3 inches:
A_training = π(3)^2
A_training = π(9)
A_training ≈ 28.27 square inches
For the regular bicycle wheel with a radius of 10 inches:
A_regular = π(10)^2
A_regular = π(100)
A_regular ≈ 314.16 square inches
Now, we can calculate how much smaller the area of the training wheel is compared to the regular bicycle wheel:
Difference in area = A_regular - A_training
Difference in area = 314.16 - 28.27
Difference in area ≈ 285.89 square inches
Therefore, the area of the training wheel is approximately 285.89 square inches smaller than the area of a regular bicycle wheel.
This image is a diagram of a rectangular prism with a volume of 2 cubic meters. The figure consists of two rectangular prisms with dimensions labeled as follows: 2 inches, 6 inches, 4 inches, 2 inches, 10 inches, and 8 inches. The text on the image prompts a question: What is the volume of this figure, in cubic inches?
To find the volume of the figure in cubic inches, we need to calculate the volume of each rectangular prism and then sum them up.
First rectangular prism:
Volume = length x width x height
Volume = 2 inches x 6 inches x 4 inches
Volume = 48 cubic inches
Second rectangular prism:
Volume = length x width x height
Volume = 2 inches x 10 inches x 8 inches
Volume = 160 cubic inches
Now, add the volumes of the two rectangular prisms:
Total Volume = Volume of first prism + Volume of second prism
Total Volume = 48 cubic inches + 160 cubic inches
Total Volume = 208 cubic inches
Therefore, the volume of the figure in cubic inches is 208 cubic inches.