Can someone explain what the prime factorization is like my teacher calls it a factor tree can u plz help me ???

1 answer:

8 0

A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself. A composite number is a number that can be easily divided. Does this answer your question?

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a container of coffee is 1/6 full.The container contains 2/3 of a pound of coffee.write division expression that represents the

zimovet [89]

Answer:

capacity of the container is 4 pound

Step-by-step explanation:

We have given that a container of the coffee is $\frac{1}{6}$ full

And it contains $\frac{2}{3}$ of a pound so $\frac{2}{3}$ pound

It means $\frac{1}{6}$ f of container contain $\frac{2}{3}$ pound coffee

So capacity of the container is $\frac{\frac{2}{3}}{\frac{1}{6}}=4pound$

So capacity of the container is 4 pound

8 0

3 years ago

What is the set fee, or initial value, of this function

Ber [7]

Answer:
The set fee would be $15

Explanation:
The set fee is the starting value. This means that it is the value of the y at x = 0 (y-intercept).

To get the set fee, we would first need to get the equation of the line.

Equation of the linear line has the following general formula:
y = mx + c
where m is the slope and c is the y-intercept

1- getting the slope:
we are given two points which are:
(20,25) and (50,40)
the slope = $\frac{y2-y1}{x2-x1}= \frac{40-25}{50-20} = 0.5$

The equation now is:
y = 0.5x + c

2- getting the value of the y-intercept:
To get the value of the c, we will use any of the given points, substitute in the equation and solve for c.
I will choose the point (20,25)
y = 0.5x + c
25 = 0.5(20) + c
25 = 10 + c
c = 15

The equation of the line representing the scenario is:
y = 0.5x + 15

Now, we know that the value of the c is the y-intercept which is the initial value of the function at x=0.
In our situation, this represents the set fee.

Hope this helps :)

6 0

4 years ago

Bob has two weekend jobs last weekend he made a total of $77 after working as a cashier for 5 hours and delivering newspapers fo

OlgaM077 [116]

Answer: $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.

Step-by-step explanation:

1. Let's call the amount he got paid per hour at his job as a cashier: $x$ .

Let's call the amount he got paid per hour at his job delivering newspapers: $y$ .

2. Keeping on mind the information given in the problem above, you can make the following system of equations:

$\left \{ {{5x+4y=77 \atop {6x+3y=78}} \right.$

3. You can solve it by applying the Substitution method, as following:

- Solve for one of the variables from one of the equations and substitute it into the other equation to solve for the other variable and calculate its value.

- Substitute the value obtained into one of the original equations to solve for the other variable and calculate its value.

4. Therefore, you have:

$5x+4y=77\\5x=77-4y\\x=\frac{77-4y}{5}=15.4-0.8y$