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valentinak56 [21]
2 years ago
9

A local college bookstore paid a net price of $12,500 for textbooks for the coming semester. The publisher offered a trade disco

unt of 20%. The publisher's original list price was ______
Mathematics
1 answer:
hichkok12 [17]2 years ago
4 0
The answer is  $15,625

The original price is 100%. A local college bookstore paid $12,500 which is 80% of the original price because he got 20% discount (100% - 20% = 80%).

Now, make a proportion.
If $12,500 is 80% of the original price, how much $ is original price (100%):
$12,500 : 80% = x : 100 %
x = $12,500 · 100% ÷ 80% = $15,625
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in the figure below line de is parallel to line f g with a transversal AG write and solve a system of liner equation to determin
Kay [80]
The complete question in the attached figure

we know that

angle y and angle (5y-18) are supplementary angles
then
y°+(5y-18)°=180°------> 6y=180+18------> y=198/6-----> y=33°
and
angle x and angle y are also supplementary angles
then
x+y=180--------> x=180-y-----> x=180-33-----> x=147°

the answer is
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7 0
2 years ago
Assume that a fair die is rolled. The sample space is , 1, 2, 3, 4, 56, and all the outcomes are equally likely. Find P8. Expres
liraira [26]

Answer:

P\left(8\right)=0

Step-by-step explanation:

Assuming that a fair die is rolled.

  • The sample space is 1, 2, 3, 4, 5, 6 and all the outcomes are equally likely.

Let  X  be the set of all possible outcomes. Let  A  be an outcome.

So, the probability that  A  occurs is:

                                                        P\left(A\right)=\frac{|A|}{|X|}

As the set of all possible outcomes of the roll of a single die is:

X=\left\{1,2,3,4,5,6\right\}

Observe that

|X|=6

Here  

|A|=0   because 8 is not in the set sample space. So, the outcome of occurring the number 8 is not possible from the all possible outcomes.

So, the probability must be zero.

In other words,

                        P\left(A\right)=\frac{|A|}{|X|}

                         P\left(8\right)=\frac{0}{6}=0

Therefore,

                   P\left(8\right)=0

5 0
2 years ago
At 7:00 AM there were 14,000 gallons of water in Lance’s pool when he noticed there was a leak. After 6 hours there were only 5,
Irina-Kira [14]
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4 0
2 years ago
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Consider a tree T storing 100,000 entries. What is the worst-case height of T in the following cases?
Darina [25.2K]

Answer:

Step-by-step explanation:

a.) The worst-case height of an AVL tree or red-black tree with 100,000 entries is 2 log 100, 000.

b.) A (2, 4) tree storing these same number of entries would have a worst-case height of log 100, 000.

c.) A red-black tree with 100,000 entries is 2 log 100, 000

d.) The worst-case height of T is 100,000.

e.)  A binary search tree storing such a set would have a worst-case height of 100,000.

6 0
2 years ago
Omar, Amare, and Jack paid a total of $68.25 for dinner and tickets to a concert. The concert
Marina86 [1]

Answer: $13

Step-by-step explanation:

To determine the solution arithmetically in two steps, first divide 68.25 by 3 and then subtract 9.75 from the result. To determine the solution algebraically, set up and solve the equation 3(x+9.75)=68.25. Each friend paid $13 for dinner.

4 0
2 years ago
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