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?
$10 Mystery Bag! (FINAL SALE)
(1 point)
Responses
$9.00
$9.00
$7.90
$7.90
$8.10
$8.10
$7.29
$7.29
Alicia shoots a basketball at a hoop 100 times. she hits the backboard and misses with 2.5 of her shots, hits the rim and misses with 32% of her shots, and makes a basket with the rest of her shots.
how many baskets does she make?
68
40
32
28
To find out how many baskets Alicia makes, we first need to calculate how many shots hit the backboard and missed, and how many shots hit the rim and missed.
1. Shots hitting the backboard and missing: 2.5 shots
2. Shots hitting the rim and missing: 32% of 100 = 32 shots
Total shots that do not result in baskets: 2.5 + 32 = 34.5 shots
Total shots attempted: 100
Total baskets made = 100 (total shots) - 34.5 (non-basket shots) = 65.5
Since Alicia can't make a fraction of a basket, we can round down to the nearest whole number, so she makes 65 baskets.
Therefore, the correct answer is not provided among the options, it should be 65.
of the 60 students who auditioned in a singing contest, 40% were asked to come back for a second audition. after the second audition, 6 students were asked to come back for a final audition.
what percentage of the students from the second audition were asked to come back for the final audition?
4%
10%
15%
25%
To find the percentage of students from the second audition who were asked to come back for the final audition, we need to first find the total number of students who went to the second audition.
From the information given:
- Initially, 60 students auditioned.
- 40% of 60 students were asked to come back for a second audition.
40% of 60 = 0.40 * 60 = 24 students were asked to come back for the second audition.
Then, from the second audition:
- 6 students were asked to come back for the final audition.
Therefore, the percentage of students from the second audition who were asked to come back for the final audition is:
(6 students who came back for the final audition / 24 students who came back for the second audition) * 100%
(6 / 24) * 100% = 0.25 * 100% = 25%
Therefore, the correct percentage is 25%.
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 thee area of the regular bicycle wheel?
21.98
153.86
285.74
1,1142.96
To find the difference in area between the two wheels, we need to find the areas of both wheels and then subtract the area of the training wheel from the area of the regular bicycle wheel.
1. Area of the training wheel:
For a circle, the area is calculated as A = πr^2, where r is the radius.
Area of training wheel = π(3^2) = 9π square inches
2. Area of the regular bicycle wheel:
Area of regular bicycle wheel = π(10^2) = 100π square inches
Now, subtract the area of the training wheel from the area of the regular bicycle wheel:
Area difference = 100π - 9π = 91π square inches ≈ 285.74 square inches
Rounding to the nearest hundredth, the area of the training wheel is approximately 285.74 square inches smaller than the area of the regular bicycle wheel.
Therefore, the correct answer is 285.74.
Rita drew a scale drawing of a picnic area near the river.
The picnic area, which is 135 yards long in real life, is 15 inches long in the drawing.
What scale did Rita use for the drawing?
(1 point)
1 INCH :
YARDS
To find the scale that Rita used for the drawing, we need to set up a proportion:
In the drawing, the length of the picnic area is 15 inches.
In real life, the length of the picnic area is 135 yards.
We can set up the proportion as:
15 inches / 135 yards = 1 inch / X yards
Cross multiply to solve for X:
15 * X = 135
X = 135 / 15
X = 9
Therefore, the scale Rita used for the drawing is 1 inch : 9 yards.