There are students in a small class. To make a team, the names of of them will be drawn from a hat. How many different teams of students are possible?

Answers

Answer 1

Answer: $e.g\na\ small\ class\ has\ 15\ students\ and\ we\ will\ choose\ 3-person\ team\n\nthe\ number\ of\ possible\ teams\ is\n\n {n \choose k}={15 \choose 3}= (15!)/(3!\cdot(15-3)!)= (12!\cdot13\cdot14\cdot15)/(2\cdot3\cdot12!) = (13\cdot2\cdot7\cdot3\cdot5)/(2\cdot3) = 13\cdot7\cdot5=455$

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Which ordered pair is a solution of the equation?3x+3y= -x+5y

a) only (1,2)
b) only (2,4)
c) both (1,2) and (2,4)
d) neither

Answers

First simplify the equation.

3x+3y= -x+5y

4x=2y

2x=y

y=2x

Means that the y value is 2 times the x value.

answer: C but there are more solutions than just (1,2) and (2,4)

Juanita has a secret number. read he clues and then answer the questions that follow Juanita says, "clue 1" my SECERT number is a factor of 60

Answers

these are the factors of 60: 1,2,3,4,5,6,10,12,15,20,30,and 60

Answer:

Step-by-step explanation:

Micah deposited $4000 between two savings account. One account earns 4% simple interest each year. The other account earns 2% simple interest. Last year Micah earned $140 interest on the accounts. What amount was originally deposited into the account that pays 4% interest?

Answers

Answer:

The amount that is deposited at 4 % simple interest is $ 3000.

Step-by-step explanation:

Given, the total amount deposited = $ 4000,

Let x be the amount that is deposited at the rate of 4 % simple interest,

⇒ The amount deposited at the rate of 2% simple interest = ( 4000 - x ) dollars,

We know that,

The simple interest on an amount is,

$I=(P* r* t)/(100)$

Where, P is the principal amount, r is rate of interest and t is time,

Thus, the total interest he earned in a year

$I=(x* 4* 1)/(100)+((4000-x)* 2* 1)/(100)$

$=(4x)/(100)+(2(4000-x))/(100)$

$=(4x+2(4000-x))/(100)$

According to the question,

I = $ 140,

$\implies (4x+2(4000-x))/(100)=140$

$(2x+8000)/(100)=140$

$2x+8000=14000$

$2x=6000$

$x=3000$

Hence, the amount that is deposited at 4 % simple interest is $ 3000.

$3000 * 0.04 = $120
$100 * 0.02 = $20

total 2 accounts = $120 + $20 = $140

answer: $3000 was the originally deposited into the account that pays 4% interest.

What is 3/10 equivalent to

Answers

3/10 is equal to 6/20 and 9/30 and so on. On decimals it would be 0.6

How to calculate square root?

Answers

To calculate the square root, you can either use the √symbol on a calculator or you can manually find it using Prime Factorization. For non-perfect squares, Prime Factorization is the way to go.

The first two steps work for solving large perfect squares as well.

1. Divide your number into perfect square factors.

2. Take the square roots of your perfect square factors.

3. If your number doesn't factor perfectly, reduce your answer to simplest terms.

4. If needed, estimate. In some cases if you have memorized some of the square roots, you can estimate where the number would be.
ie. $√(63)$ you know that $7^2 =49$ and $8^2 = 64$ , so you can estimate that the $√(63)$ would be between 7 and 8 but closer to 8.

5. Alternatively, reduce your number to its lowest common factors as your first step. Finding perfect square factors isn't necessary if you can easily determine a number's prime factors (factors that are also prime numbers).
ie. $√(45)$
= $√(9*5)$
= $√(3*3*5)$
= $3 √(5)$

Hope this helped!!!

For each of these word problems, determine if the answer can be found using the division problem 125 ÷ 12.A group of twelve art students are visiting a local art museum for a field trip. The total cost of admission for the students is $125. What is the cost of admission for each student?

The school van can carry twelve passengers at a time. What is the least number of trips the van must make in order to bring 125 passengers to the same location?

Charlotte and her mother baked 125 cookies to give as Christmas gifts to their neighbors. If they plan to give a dozen cookies to each neighbor, how many neighbors will receive a gift?

Nicholas and Elaine are planning to serve cheesecake for dessert at their wedding and have purchased twelve cheesecakes. If the cheesecakes are divided evenly among the 125 wedding guests, how much cheesecake will each guest receive?

Answers

Answer:

125/12

Step-by-step explanation:

1st problem-no

2nd problem-yes

3rd problem-yes

4th problem-no

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Circle the number that makes each equation true.

Anna and Charles have a bag that contains 1 black marble and 1 white marble. They are playing a game where they randomly select a marble out of the bag three times, with replacement Anna thinks that the probability of getting a black marble on the first selection and a black marble on the third selection is greater than the probability of getting a black marble on the first selection and a white marble on the third selection. Charles disagrees. He thinks that the two probabilities are equal. The sample space of possible outcomes is listed below. B represents a black marble, and W represents a white marble. Who is correct, Anna or Charles?

Stacy wants to make 100 name tags with ribbons ATTACHED TO THEM. each name tag requires 5 centimeter of ribbon. SHE HAS 3.25 meters of ribbon. exactly how many more centimeters of ribbon does stacy still need to make 100 name tags