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3 years ago

11

Anna has fabric that is 1/4 yard long. She needs to cut the fabric into pieces that are 1/8 yard long. How many 1/8 yard long pi

eces will she have

1 answer:

Damm [24]3 years ago

8 0

Answer:

2

Step-by-step explanation:

1/4= .25

1/8= .125

so 1/4÷ 1/8=2

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I have a question about polynomial division it is in the picture

Cloud [144]

To answer this question, we have to do the long division process for polynomials. We can do the operation as follows:

To do this division process, we have:

1. Divide the first term of the dividend by the first element of the divisor. They are:

$\frac{-4x^3}{4x^2}=-x$

2. Now, we have to multiply this result by the divisor, and the result will change its sign since we have to subtract that result from the dividend as follows:

$-x\cdot(4x^2_{}-4x-4)=-4x^3+4x^2+4x$

And since we to subtract this result from the dividend, we end up with:

$-(-4x^3+4x^2+4x)=4x^3-4x^2-4x$

3. Then we have the following algebraic addition:

$\frac{\begin{cases}-4x^3+24x^2-15x-15 \\ 4x^3-4x^2-4x\end{cases}}{20x^2-19x-15}$

4. Again, we need to divide the first term of the dividend by the first term of the divisor as follows:

$\frac{20x^2}{4x^2}=5$

5. And we have to multiply 5 by the divisor, and the result will be subtracted from the dividend:

$5\cdot(4x^2-4x-4)=20x^2-20x-20$

Since we have to subtract this from the dividend, we have:

$-(20x^2-20x-20)=-20x^2+20x+20$

6. And we have to add this algebraically to the dividend we got in the previous step:

$\frac{\begin{cases}20x^2-19x-15 \\ -20x^2+20x+20\end{cases}}{x+5}$

And this is the remainder of the division, x + 5.

As we can see from the division process, we got as:

1. The quotient: -x + 5

$q=-x+5$

2. The remainder: x + 5.

$R=x+5$

Since we have that the dividend = divisor * quotient + remainder.

Therefore, the result for this division is:

$-4x^3+24x^2-15x-15=(4x^2-4x-4)\cdot(-x+5)+(x+5)$

4 0

10 months ago

Find the probability of rolling factors of 4.

mylen [45]

The probability of rolling factors of 4 are 4/1 or 2/1

8 0

2 years ago

If the scale on a map is 1/4 in. = 50 miles, how many miles do 3 3/8 inches represent?

Korvikt [17]

Hey there Fish Girl!

So, if $\left[\begin{array}{ccc}1/4 \end{array}\right]$ equals 50 miles, then we would do this multiplied by . . . .

So, if we would want to go to 3 whole, we would then have to go to the number 3 of course. So then, we do $\left[\begin{array}{ccc}4*3=12\end{array}\right]$ and then from this, we would have to multiply this my 50.

The reason to why we would have to do this is because 1/4 of a mile is 50, so then, sense we are trying to get to the number 3, then, from doing this,we would determine a figure out how many miles this would conclude to be.

$\left[\begin{array}{ccc}12*50\end{array}\right] =\left[\begin{array}{ccc}\boxed{\boxed{600}} \ so \ far!\end{array}\right]$

So, now, we have covered 3 as a whole, then we would have to see how 3/8 and also 1/4 can relate to each other.

So, in this case, $\boxed{\boxed{ \frac{3}{8} \ would \ be \ almost \ \boxed{half} \\ \ because \ it \ is \ almost \frac{4}{8} }}$

So, most likely, it would stay the same as it is, 1/4 because this is almost half to.

SO ALL WE WOULD NEED TO DO NOW IS TO ADD . . . . .

$\left[\begin{array}{ccc}\left[\begin{array}{ccc}\boxed{\boxed{600+50 \ or \frac{1}{4}=650}} \end{array}\right]\end{array}\right]$

YOUR CORRECT AND FINAL ANSWER TO THIS QUESTION WOULD BE. . . .

$\left[\begin{array}{ccc}650 \ miles\end{array}\right]$

Hope this helps you fish Girl! :)

8 0

2 years ago

Read 2 more answers

A student wants to simulate 31 birthdays, but she does not have a calculator or software program available, so she makes up 31

mihalych1998 [28]

Answer:

No, it is not okay to conduct the simulation this way.

Step-by-step explanation:

In statistics, simulation refers to a technique that is employed to model random events so that the results obtained from using the simulation is significantly similar to the results obtained from observing the real-world.

Researchers are therefore able to understand the real world when they observe the simulated outcomes.

From the description above, it can be seen that simulation is about studying random events. Therefore, a sample of the population that will be used in the simulation must be selected through a random sampling.

Random sampling refers to the sampling method that gives equal opportunity of being selected to each member of the population. This makes the sample selected through random sampling technique to be an unbiased representation of the total population.

As a result, making up 31 numbers between 1 and 365 by the student is not a random sampling, because his method may favor some numbers over others. It is therefore a defective method of carrying out simulation.

Therefore, the it is not okay to conduct the simulation this way.

I wish you the best.

6 0

3 years ago

What polynomial has a graph that passes through the given points?

Evgen [1.6K]

The answer is <span>B. y = x^3 + 4x^2 + 2x - 2

A line that passes through all given point is the correct choice. Now, substitute x and y in all of the choices:

</span>B. y = x³ + 4x²<span> + 2x - 2
Point 1: </span><span>(-2, 2)
x = -2
y = 2
____
2 = (-2)</span>³ + 4 *(-2)² + 2 * (-2) - 2
2 = -8 + 4 * 4 + (-4) - 2
2 = -8 + 16 - 4 - 2
2 = 2
_____

Point 2: (-1, -1)
x = -1
y = -1
____
-1 = (-1)³ + 4 *(-1)² + 2 * (-1) - 2
-1 = -1 + 4 * 1 + (-2) - 2
-1 = -1 + 4 - 2 - 2
-1 = -1
____

Point 3: (1, 5)
x = 1
y = 5
____
5 = (1)³ + 4 *(1)² + 2 * 1 - 2
5 = 1 + 4 * 1 + 2 - 2
5 = 1 + 4 + 2 - 2
5 = 5
____

Point 4: (3, 67)
x = 3
y = 67
____
67 = (3)³ + 4 *(3)² + 2 * (3) - 2
67 = 27 + 4 * 9 + 6 - 2
67 = 27 + 36 + 6 - 2
67 = 67

So, line B passes through all choices.

3 0

2 years ago