Answer:
These horses can finish first, second and third in 1320 different ways.
Step-by-step explanation:
The order in which the horses finish is important. That is, horse A finishing 1st, horse B 2nd and horse C 3rd is a different outcome than horse B 1st, horse A 2nd and horse C 3rd.
So the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
Assuming there are no ties, how many different ways can these horses finish first, second, and third?
12 horses.
3 first positions.
So
These horses can finish first, second and third in 1320 different ways.
STEP-BY-STEP SOLUTION:
Let original price = x
New price with 10% discount from the original price = $50
( 100% - 10% )x = 50
90% of x = 50
x = ( 50 / 90% ) × 100%
x = $55.55 reciprocal
x = $55.55 ( to the nearest nickel )
Answer:
C- Money lost from a pocket
Step-by-step explanation:
It would be C because something is decreasing ( now a negative) from what they did have.
Answer:C= 37.68 or 12pi
Step-by-step explanation:
First, diameter= 2 times the radius. So, in this case 6*2=12 which would be the diameter. Now, we have to figure out the circumference. c=pi*12. If we wanted to do the actual calculation just do: 12*3.14 which would get you 37.68 or 12pi
Answer: 2.5 mL
Step-by-step explanation:
Given : A patient is given a solution containing 0.625 g of calcium carbonate.
i.e. Patient required calcium carbonate = 625 mg [∵ 1 g = 1000 mg]
Let x be the amount of solution ( in millimeters) given to the patients.
Ratio of amount of calcium carbonate (mg) to amount of solution (ml) =
If the calcium carbonate solution contains 1250 mg per 5 mL,
Then, Ratio of amount of calcium carbonate to amount of solution =
By using proportion we have :-
Hence, 2.5 mL solution were given to the patient.