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3 years ago

Explain how you can use base 10 blocks to find 2.16÷3

1 answer:

8 0

You can use 10 blocks by having 1 ten and 6 ones and then divide it into groups of 3 when you do that you are kind of subtracting when you take away 3 away each time. After that you multiply it, so you think of whatever times 3 is 16 which is 15 r1. Then your answer should be 30.

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There are 21 mathematic majors and 129 computer science majors at a college. A) How many ways are there to pick 4 representative

kirza4 [7]

Answer: 1,733,760

Step-by-step explanation:

The number of combinations of selecting m things from n things is given by :-

$^nC_m=\dfrac{n!}{m!(n-m)!}$

Given : There are 21 mathematics majors and 129 computer science majors at a college.

Then, the number of ways to pick 4 representatives, so that 2 are mathematics majors and the other 2 are computer science majors :-

$^{21}C_2\times^{129}C_2\\\\=\dfrac{21!}{2!(21-2)!}\times\dfrac{129!}{2!(129-2)!}\\\\=\dfrac{21\times20\times19!}{2\times19!}\times\dfrac{129\times128\times127!}{2\times127!}\\\\=210\times8256= 1733760$

Hence, the number of ways to pick 4 representatives, so that 2 are mathematics majors and the other 2 are computer science majors =1,733,760

7 0

3 years ago

Algebra 1!!! I need help ASAP!!

vesna_86 [32]

To understand the algebra, go through the following equations below:

First the thing to note is that the top square is the square of the bottom square: Stage 1: 1 & $1^{2}$ , stage 2 = 2 & $2^{2}$ , stage 3 = 3 & $3^{2}$
Second image: Just add the two values above to get the total of tiles needed. For stage 5: 5 + $5^{2}$ = 30, Stage 12: 12 + $12^{2}$ = 156

Part B

First equation : y = $n^{2}$ + n

second equation: y = n + (n*n)

<h3>Meaning of algebra</h3>

Algebra is defined as a branch of mathematics that deals with variables, symbols and finding of these unknown using arithmetic operation such as ( +, -, *, ÷ )

Algebra is the study and understanding of mathematical symbols and how to manipulate them in mathematical problems and formulae.

In conclusion, the above are the solution to the questions on the attached image.

Learn more about algebra: brainly.com/question/22399890

#SPJ1

5 0

2 years ago

In a chess tournament, each player plays every other player exactly once. If it is known that 105 games were played, how many pl

diamong [38]

Answer:

15 players played in the chess tournament.

Step-by-step explanation:

When there are 15 players, the first player plays 14 games and step aside.

remaining 14 player

next player plays 13 games. steps aside

remaining 13 players

next player plays 12 games. steps aside

remaining 12 players

next player plays 11 games. steps aside

remaining 11 players

Last player plays 1 game and steps aside

remaining 1 player who will not play against himself.

∴ Sum of all games played

= 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 105 games played

3 0

3 years ago

15x+5y=10 <br>5x-7y=12<br><br>solve using elimination

Paul [167]

Point form: (1,-1)
equation form: x = 1, y = -1

8 0

3 years ago

A student on the cross- county team runs 30 minutes a day as a part of her training. Write an equation to describe the relations

KengaRu [80]

Answer:

The answer is below

Step-by-step explanation:

A student on the cross- county team runs 30 minutes a day as a part of her training. Write an equation to describe the relationship between the distance she runs in miles, D, and her running speed, in miles per hour, when she runs at a constant speed of 5.4miles per hour for m minutes, and then at b miles per hour for n minutes

Solution:

Given that the student runs for a total of 30 minutes per day. He runs at 5.4 miles per hour for m minutes, and then at b miles per hour for n minutes.

Hence:

m + n = 30

60 minute = 1 hour. Therefore, m minute = m/60 hour, n minute = n/60 hour.

The distance traveled is the product the speed in miles per hour and the time taken to cover the distance. Distance = speed * time

The total distance ran (D) is:

D = 5.4(m/60) + b(n/60)

6 0

3 years ago