<span>The answer is B. C(n) = 0.75n - 0.25.
Let n be the number of pieces. The price for 1 piece is $0.75. The price C for n pieces without a coupon is n * $0.75: C(n) = 0.75n. The coupon value is $0.25. So, this value must be subtracted from the total price of n pieces. Since the coupon values in independent on the number of pieces, the price C for n pieces with the coupon will be: C(n) = 0.75n - 0.25. Therefore, the correct choice is B.</span>
Answer:
96 ounces each day
Step-by-step explanation:
Divide the 24 bottles by 3
24/3 = 8
8bottles per day
8 bottles *12 ounces per bottle
96 ounces each day
Answer:
P(0,0) = 2/12 times 1/11 = 1/66
Step-by-step explanation:
For probability questions, think of each event happening separately, it makes the maths easier to understand. For example, in this question, do not think of the two boys taking a fruit at the same time - that makes the maths complicated
.
Let Daniel take a fruit first, then Sean can take a fruit. There are two parts to consider.
P
r
o
b
a
b
i
l
i
t
y
=
number of desirable outcomes
total number of possible outcomes
For Daniel: there are 12 different pieces of fruit in the bowl, he just takes one without choosing a specific fruit. (random)
The chance that Daniel takes an orange is
2
12
Of the 12 pieces of fruit. 2 are oranges.
Now Sean: the numbers of fruit in the bowl have changed. There are now only 11 pieces of fruit in the bowl, and only 1 is an orange.
The chance that Sean takes an orange is
1
11
Answer:
1078
Step-by-step explanation:
Total no of rows (n) = 22
Since, 18, 20, 22 ..... forms an arithmetic sequence with first term (a) = 18 and common difference (d) = 2.
We need to find: Total no of seats in the theatre 
Formula to be used:
![S_{n}= \frac{n}{2}\bigg[2a+(n-1)d\bigg]](https://tex.z-dn.net/?f=S_%7Bn%7D%3D%20%5Cfrac%7Bn%7D%7B2%7D%5Cbigg%5B2a%2B%28n-1%29d%5Cbigg%5D)
Plug the values of a, d and n in the above formula, we find:
![\implies S_{22}= \frac{22}{2}\bigg[2(28)+(22-1)(2)\bigg]](https://tex.z-dn.net/?f=%5Cimplies%20S_%7B22%7D%3D%20%5Cfrac%7B22%7D%7B2%7D%5Cbigg%5B2%2828%29%2B%2822-1%29%282%29%5Cbigg%5D)
![\implies S_{22}=11[56+(21)(2)]](https://tex.z-dn.net/?f=%5Cimplies%20S_%7B22%7D%3D11%5B56%2B%2821%29%282%29%5D)
![\implies S_{22}=11[56+42]](https://tex.z-dn.net/?f=%5Cimplies%20S_%7B22%7D%3D11%5B56%2B42%5D)
![\implies S_{22}=11[98]](https://tex.z-dn.net/?f=%5Cimplies%20S_%7B22%7D%3D11%5B98%5D)

Thus, there are total 1078 seats in the theatre.
Answer:
$44,313.75
Step-by-step explanation:
First, we need to turn the km into meters. There are 1000 meters in a km meaning we need to multiply each of these values by 1000.
0.101 km * 1000= 101 meters
0.065 km * 1000 = 65 meters
Now we need to multiply these values together to find the area of the field
101m * 65m = 6,565
Finally, we need to multiply this area by the cost per square meter
6,565
/ 6.75 = $44,313.75
The total repair will cost $44,313.75