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3 years ago

How do I find the prime factorization of 40? And what is prime factorization?

1 answer:

3 0

Prime factorization is a way of showing which prime numbers (numbers that can only be divided by one and itself) can go into a number. For instance, the prime factorization of 4 would be 2 x 2. Two can only be divided by one and itself, so it is a prime number, and 2 x 2 = 4. For larger numbers, divide by a prime number until the number that is being divided is a prime number. Each divisor will be used as part of the prime factorization. The final dividend will also be used. Add the dividend, order each divisor from least to greatest, and then you're done. Therefore, the prime factorization of 40 would be 2 x 2 x 2 x 5.

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there are 118 boys and 121 girls signed up for a volleyball league. The coaches first make teams of 9 players and then assign an

andrew11 [14]

The number of nine-players team= 21 teams.

The number of ten-players team= 5 teams.

Step-by-step explanation:

step 1: The total players signed up for a volleyball league= 118 boys+121 girls= 239 players.

step 2: The coach first makes a 9 players team= 239-9= 230 members

In this stage, the number of 9 players-team is one.

step 3: The remaining 230 players cannot be divided equally into 9 players, since 230 is not divisible by 9.

step 4: Find the number within 230 that is divisible by 9 as a whole. Check for easy number (9*20= 180 is within 230)

Therefore, 230-180= 50 players are remaining.

In this stage, the number of 9 players-team= 1+20= 21 teams with 9-players.

The number of 10 players-team= 50 players/10= 5 teams with 10-players.

8 0

3 years ago

create a frequency table and probability models to determine the probability the following outcome police officer kept recording

icang [17]

Answer:

0.28 = 28% probability that a randomly selected driver will come to complete stop

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

Recording of 75 drivers.

Of those, 21 came to a complete stop.

Then

21/75 = 0.28

0.28 = 28% probability that a randomly selected driver will come to complete stop

8 0

3 years ago

Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they

sp2606 [1]

mechanic #1's rate = x

mechanic #2's rate = y

* Their rate is dollars per hour ($/hr)

mechanic #1 worked for 20 hours (hr × $/hr = $)

20x = money earned by mech#1

and mechanic #2 worked for 5 hours

5y = money earned by mech#2

together they charged a total of $1150. So the amount of money earned by both mechanics.

20x + 5y = 1150

the sum of the two rates was $95 per hour.

x + y = 95

which means

x = 95 - y

plug (95 - y) in for "x" in the other equation to get everything in terms of one variable.

20(95 - y) + 5y = 1150

solve for y

1900 - 20y + 5y = 1150

1900 - 15y = 1150

-15y = 1150 - 1900

-15y = -750

y = -750/-15

y = 50 $/hr

Now use this to solve for x

x + y = 95

x + 50 = 95

x = 95 - 50

x = 45 $/hr

mech#1 charged 45$/hr

mech #2 charged 50$/hr

4 0

3 years ago

Solve |x| > 4 A: {-4, 4} B: {x|-4 < x < 4} C: {x|x < -4 or x > 4}

lord [1]

The answer is A because when the two lines are on the outside of a term like that it means that what ever is inside is the opposite of the original number

For ex. | 4 | < 4
The 1st number will be a negative so it makes the statement true

8 0

3 years ago

2+3=95 4+5=259 6+7=4913 8+9=?

Ksju [112]

Answer:

Step-by-step explanation:

by considering 2 + 3 = 95

3² = 9

2 + 3 = 5

by considering 4 + 5 = 259

5² = 25

4 + 5 = 9

by considering 6 + 7 = 4913

7² = 49

6 + 7 = 13

by considering 8 + 9 = ????

9² = 81

8 + 9 = 17

∴ 8 + 9 = 8117

7 0

3 years ago