PRE CALC QUESTION

Diego said that the awnser to the question "How many groups of 5/6 are in 1?" Is 6/5 or 1 1/5.Do you agree with his statement? E

slamgirl [31]

Answer:

Diego is correct.

He has correctly divided 1 in groups of $\frac{5}{6}$ .

Step-by-step explanation:

The question 'How many groups of 5/6 are in 1?' means that we need to divided 1 into groups of $\\frac{5}{6}$ .

When we form groups from a given total, we divided the total by the size of the group.

If we are dividing $N$ number of people in groups of $x$ number of people, then the expression to find the number of groups formed can be given as:

⇒ $\frac{N}{x}$

For this question the data given is:

$N=1$

$x=\frac{5}{6}$

So, the number of groups formed can be given as:

⇒ $\frac{1}{\frac{5}{6}}$

When divisor is a fraction, then we multiply the reciprocal of the divisor with the dividend.

⇒ $1\times\frac{6}{5}$

⇒ $\frac{6}{5}$

In order to convert fraction to mixed number we will divide numerator with denominator and then write the quotient as whole number, remainder as numerator and the denominator remains as it is.

On dividing 6 by 5, the quotient =1 and remainder =1. Thus the mized number is:

⇒ $1\frac{1}{5}$

Thus, there are $\frac{6}{5}$ or $1\frac{1}{5}$ groups in 1. This matches with Diego's answer and hence he is correct.

3 0

3 years ago

I NEED ANSWER SUPER BAD PLEASE!!!!!!!!!!!What is the greatest integer less than 100 for which the greatest common divisor of tha

PtichkaEL [24]

Answer:

92

Step-by-step explanation:

We will list out the numbers which are factors of 12. They include:

1, 2, 3, 4, 6, 12.

We need to get the highest number that has its greatest factor to be 4. It means that 6 and 12 cannot divide it.

To do this, we will write out the multiples of 4. They include:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88,92,96.

We will have to choose the highest number which only 4 can divide and 6 and 12 cannot divide.

Since we are looking for the largest, We can try dividing all the numbers by 4, 6, and 12 starting from 96.

We will quickly see that 4 can divide 92 but 6 and 12 cannot.

This gives us 92 as the answer.

4 0

2 years ago

What is the surface area of the cylinder with height 7 cm and radius 5 cm? Round

nalin [4]

Answer:

376.991 cm²

Step-by-step explanation:

$SA_{cylinder} = 2\pi r^{2} + 2\pi rh$

Surface Area = 2π(5²) + 2π(5)(7)

= 50π + 70π

= 120π

= 376.9911184... ≈ 376.991

<h2>Derive Surface Area of A Cylinder</h2>

If you take a look at a net of a cylinder, you can see it is composed of two circles(bases) and a rectangular strip with the length of the diameter of the circle

The formula for the area of a circle = πr², and since there are 2, it is 2πr²

The formula for circumference of a circle = 2πr, and since we are multiplying that by the height by the height of the cylinder, it is 2πrh

∴ 2πr² + 2πrh

5 0

2 years ago

Let v⃗ 1=⎡⎣⎢033⎤⎦⎥,v⃗ 2=⎡⎣⎢1−10⎤⎦⎥,v⃗ 3=⎡⎣⎢30−3⎤⎦⎥ be eigenvectors of the matrix A which correspond to the eigenvalues λ1=−1, λ2

kaheart [24]

Answer:

- x as a linear combination :

x = -1 v1+ 0 v2+ 1 v3.

- Transpose Ax = (12, -6, -6)

Step-by-step explanation:

Given v1 = (0 3 3),v2 = (1 −1 0), v3 = (3 0 −3) be eigenvectors of the matrix A which correspond to the eigenvalues λ1 = −1, λ2 = 0, and λ3 = 1, respectively, and let x = (−2 −4 0). Express x as a linear combination of v1, v2, and v3, and find Ax .

To write x as a linear combination of v1, v2, and v3

x = -1 v1+ 0 v2+ 1 v3.

To find Ax

Write A = (0 ......3 ......3 )

...................(1 ......-1 ......0)

...................(3 ......0......-3)

Since transpose x = (-2, 4, 0)

Ax =......... (0 ......3......3 )(-2)

...................(1 ......-1 ......0)(4)

...................(3 ......0......-3)(0)

= (0×-2 + 3×4 + 3×0)

...(1×-2 + -1×4 + 0×0)

.. (3×-2 + 0×4 + -3×0)

As = (12)

....(-6)

Transpose Ax = (12, -6, -6)

7 0

2 years ago

Abigail mixes 2/3 pounds of walnuts with 3/5 puns of dried fruit.To create more of the same mixture how many pounds of walnuts d

Nataly_w [17]

Step one. create a common denominator.
ex. 15
walnuts = 10/15 dried fruit= 9/15

so if you had 15/15 pounds of dried fruit you would need 16/15 pounds of walnuts

which is 1 1/15 pounds of walnuts

8 0

3 years ago