A party rental company has chairs and tables for rent. The total cost to rent

What is the prime factorization of 240? Question options: 24 · 3 · 7 23 · 3 · 5 24 · 5 23 · 5 · 7 24 · 3 · 5

timama [110]

The prime factorization of 240 is $2^{4}$ . 3 . 5 ⇒ last answer

Step-by-step explanation:

Prime number is the number that has only 2 factors 1 and itself

{2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 29 , ............}

In prime factorization we use only the prime numbers

Ex: The factors of 15 are 1 , 3 , 5 , 15,

Then the prime factors of 15 are 3 and 5 only because they are

prime numbers

So to find the prime factors of a number do that

1. Factorize the number by divide it using prime numbers only

2. Write the number as a product of its prime factors

∵ 240 divisible by first prime number 2

∴ 240 ÷ 2 = 120

∵ 120 ÷ 2 = 60

∵ 60 ÷ 2 = 30

∵ 30 ÷ 2 = 15

- We divided the number by 2 for 4 times

∴ $2^{4}$ is a prime factor of 240

∵ 15 is divisible by prime number 3

∴ 15 ÷ 3 = 5

∴ 3 is a prime factor of 240

∵ 5 is divisible by prime number 5

∴ 5 ÷ 5 = 1

∴ 5 is a prime factor of 240

∴ The prime factors of 240 are $2^{4}$ , 3 , 5

The prime factorization of 240 is $2^{4}$ . 3 . 5

Learn more:

You can learn more about factors in brainly.com/question/5194236

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7 0

4 years ago

Which graph represents the solution set for the system x + 2y 3, x + y 4, and 3x − 2y 4?

Lerok [7]

x + 2y + 3 = 0
Subtract x from both sides.
2y + 3 = -x
Subtract 3 from both sides.
2y = -x - 3
Divide by 2 on both sides
y = -(x+3)/2

x + y + 4 = 0
Subtract x and 4 from both sides
y = -x - 4

3x - 2y + 4 = 0
Subtract 3x and 4 from both sides.
-2y = -3x -4
Divide by -2 from both sides.
y = -(3x + 4) / 2

The answer is the graph that contains these slopes and lines on the graph, which was not provided.

4 0

4 years ago

The temperature went from -12°F to 18°F. Which of the following expressions could be used to find how much the temperature chang

kenny6666 [7]

Answer:

D

Step-by-step explanation:

D represents absolute value, and this is what you use to find the answer to this equation.

6 0

3 years ago

Read 2 more answers

birute deposite $500 In a savings account with a simple interest rate of 1.3% . how could you use this information to find the i

vladimir2022 [97]

Money Birute deposited in a savings account = $500

Rate of simple interest per annum = 1.3%

▪︎We need to find the interest she will earn in 4 years.

We know that :

$\tt \: \color{hotpink}simple \: interest \color{plum}= \frac{principal \times rate \times time}{100}$

In this case :

Principal = $500

Rate = 1.3%

Time = 4 years

Which means :

The simple interest she will earn in 4 years :

$= \tt \frac{500 \times 1.3 \times 4}{100}$

$= \tt \frac{2600}{100}$

$\color{plum} = \tt\bold{\$26}$

Thus, the simple interest she will earn in 4 years = $26

Amount = Principal + Interest

Amount she will gain after 4 years :

$=\tt 500 + 26$

$\color{plum} = \tt\bold{\$526}$

Thus, the amount she will gain after 4 years = $526

Amount change in her account = 526 - 500 = 26

We know that :

$\tt \: \color{hotpink}percentage \: of \: change\color{plum} = \frac{change}{original \: price} \times 100$

Which means :

Percentage of change in her savings account :

$=\tt \frac{26}{500} \times 100$

$=\tt \frac{26 \times 100}{500}$

$= \tt\frac{2600}{500}$

$\color{plum} = \bold{\tt\bold{5.2\%}}$

<h2>○=> Therefore :</h2>

▪︎Simple interest after 4 years = $26

▪︎Money she will earn after 4 years = $526

▪︎Percentage of change in her savings account = 5.2%

6 0

3 years ago

Could someone answer and explain these to me? That would be great, thanks!

Flura [38]

Answer:

y=-x^2

Step-by-step explanation:

given that y = x^2 is the function.

For equivalent to -y, we can multiply this equation both the sides by -1

We get -y = -x^2

Hence option G is right.

Also y =x^2 is a parabola with vertex at origin open up.

Hence if F is selected we get -y =(-x)^2 = x^2, this will make the parabola open down and hence this option is wrong.

H: -y=-x is wrong because this represents a line but we had original equation as that of a parabola

J) -y = x^(-2) means x^2y =-1

This implies that rate of change of y = 2/x^3 but rate of change of y has to equal 2x since y = x^2 is original. Hence only option G is right.

6 0

3 years ago

Read 2 more answers