Jane think of a number . She divides it by six and adds two. She gets an answer of 9. What number was she thinking of?

A parking lot charges $3 to park a car for the first hour and $2 per hour after that. If you use more than one parking space, th

Vikki [24]

Given, a parking lot charges $3 for first hour and $2 per hour after that.

So for t hours, the parking lot charges $3 for the first hour and after first hour there is $(t-1)$ hours left.

So for $(t-1)$ hours it will charge $2 per hour.

The charges for $(t-1)$ hours = $ $2(t-1)$ .

Total charges for t hours for one car = $ $(3+2(t-1))$

Now for the second car, it will charge 75% of the first car.

So the charges for second car

=$[ $(3+2(t-1))(75/100)$ ]

=$ $0.75(3+2(t-1))$

There are 3 cars. That parking charges for the third car is also 75% of the first car.

So for third car the parking charges are same as for the second car.

Total parking charges for 3 cars

= $ $(3+2(t-1))+(0.75(3+2(t-1))+(0.75(3+2(t-1))$

= $ $(3+2(t-1))+(0.75)(2(3+2(t-1))$

We have got the required answer here.

The correct option is option C.

8 0

3 years ago

A telephone company charges a fixed monthly rate plus a rate per minute of usage. The company charges $120 for 100 minutes of us

soldi70 [24.7K]

The answer to this is C.

6 0

3 years ago

Mr. Montes is writing a short, three-question, true or false quiz for his Algebra 2 classes. He had planned on using a random an

belka [17]

Answer:

There are 4 questions to answer here and the answers are given below:

1. COMBINATION

2. SET 2

3. {S2, S3, S4, S5}

4. { } OR ∅

Step-by-step explanation:

The key topics here are PERMUTATION & COMBINATION and SETS & VENN DIAGRAMS.

The assignment has 5 questions in all. The options for each question are listed below and separated by commas:

1. True, False

2. True, False

3. A, B, C, D

4. A, B, C, D

5. A, B, C, D

Mr. Montes derives his answers from a random answer generator; same way Amisha generated her answers by random selection.

QUESTION 1

If you want to find the odds that Amisha got at least 3/5 of the answers correctly, would you use a permutation or a combination?

ANSWER TO QUESTION 1

You would use a combination. Note that as much as 'permutation' is distinctly defined from 'combination', in many complex cases both are used to derive the solution. In this case though, a combination is used. For each of the 5 questions, there are a number of possible answers. Questions 1 and 2 have only two possible answers (also known as options) while questions 3, 4 and 5 have four possible answers/options to choose from. Amisha can only have one set of five answers; each to each question. So this is a combination! If you want to find the odds that Amisha got at least 3 of her 5 answers correct, you would use a combination of the various possible answers to check.

QUESTION 2

Find "Set 1 ∩ Set 2" and explain the notation in the sentence.

ANSWER TO QUESTION 2

First list out relevant information:

- The correct answers to questions 3, 4 and 5 are respectively C, B, A

- The universal set consists of five students: S1, S2, S3, S4, S5 hence

Ц = {S1, S2, S3, S4, S5}

Next, enlist the elements of each defined set

Set 1: {S1, S2, S3, S4, S5} Set 2: {S2, S3, S4} Set 3: {S4, S5}

Note: Set 1 is equal to the universal set.

Now this notation "∩" means "intersect". It requires an action - checking out which elements in one set also appear in a second set and then bringing those elements to form a new set.

In the case of this question, we're to find Set 1 intersect Set 2. The elements present in Set 1 and also present in Set 2 are {S2, S3, S4}.

If you look closely, you'll observe that these are the same elements in Set 2! This brings to remembrance, one of the laws of sets:

The intersect of any subset and the universal set (recall that Set 1 happens to be equal to or have the same elements as the universal set) is equal to that subset.

So the answer to question 2 is

Set 1 ∩ Set 2 = Set 2

QUESTION 3

Find "Set 2 ∪ Set 3" and explain the notation in the sentence.

ANSWER TO QUESTION 3

The notation ∪ represents "union". This is the act of putting together the elements in two sets, to form a new set. In this activity, if an element appears in both sets, it is only written once in the new set, not twice.

So, Set 2 union Set 3 = {S2, S3, S4, S5}

As earlier stated, Student 4 isn't appearing twice in the new set.

QUESTION 4

Find the ' of Set 1 and explain the notation in this sentence.

ANSWER TO QUESTION 4

The symbol ' means "complement of a set". Finding the complement of a set is like subtracting the elements of that set from the universal set.

Since Set 1 contains the same elements as the universal set, subtracting Set 1 from the universal set will give you nothing. In this case, the complement of Set 1 is a null set!

Set 1 ' Ц = { } or ∅

where the empty bracket symbol and the slashed zero symbol represent null set.

Kudos!

3 0

3 years ago

Anybody have the answer?

natita [175]

But what are they midpoints of? AFE, BFC, CEF,AFB?

7 0

3 years ago

A cafeteria can seat 5x10*2 students. Each table has 2x10*1 seats. How many tables are in the cafeteria?

frozen [14]

Answer: 25 tables.

Step-by-step explanation:

5 • 10*2= 500 (10*2= 100, then 100 times 5)

2 • 10*1= 20 (10*1= 10, then times 2)

Therefore a cafeteria can seat 500 students. Each table had 20 seats.

Divide 500/20 and get 25.

Hope this helps

8 0

3 years ago