All categories

3 years ago

32 over 9 converted to a mixed number

Mathematics

2 answers:

aliya0001 [1]3 years ago

8 0

3 5/9 would be your answer :)

Olenka [21]3 years ago

4 0

Hoi!

To convert $\frac{32}{9}$ into a mixed number, let's divide 32 by 9.

32 ÷ 9 = $3\frac{3}{5}$

Your mixed number is $3\frac{3}{5}$ . :)

You might be interested in

Simplify. Assume that all variables represent positive real numbers. sqrt[45][x]^[7][y]^[8]

Lisa [10]

Answer:

3 x^3 y^4 sqrt(5x)

Step-by-step explanation:

sqrt(45x^7y^8)

We know that sqrt(ab) = sqrt(a)sqrt(b)

sqrt(45)sqrt(x^7) sqrt(y^8)

sqrt(9*5) sqrt(x^2 *x^2 * x^2* x) sqrt(y^2 *y^2 *y^2 *y^2)

We know that sqrt(ab) = sqrt(a)sqrt(b)

sqrt(9)sqrt(5) sqrt(x^2)sqrt(x^2) sqrt(x^2) sqrt(x) sqrt(y^2)sqrt(y^2)sqrt(y^2)sqrt(y^2)

3 sqrt(5) x*x*x sqrt(x) y*y*y*y

3 x^3 y^4 sqrt(5)sqrt(x)

3 x^3 y^4 sqrt(5x)

4 0

2 years ago

Read 2 more answers

Solve the system (x-1)²+(y-2)²=2² and y=2x+2.

Likurg_2 [28]

Answer:

(x, y) = (-0.6, 0.8) or (1, 4)

Step-by-step explanation:

Use the second equation to substitute for y in the first.

(x -1)² +((2x +2) -2)² = 4

x -2x +1 + 4x² = 4 . . . . . . . eliminate parentheses

5x² -2x -3 = 0 . . . . . . . . . . subtract 4, collect terms

Now we can rearrange the middle term to ease factoring by grouping.

(5x² -5x) +(3x -3) = 0

5x(x -1) +3(x -1) = 0

(5x +3)(x -1) = 0

The values of x that make these factors zero are ...

x = -3/5, x = 1

The corresponding values of y are ...

y = 2(-3/5)+2 = 4/5 . . . . for x = -3/5

y = 2(1) +2 = 4 . . . . . . . . for x = 1

The solutions are: (x, y) = (-3/5, 4/5) or (1, 4).

___

A graphing calculator verifies these solutions.

3 0

3 years ago

A coin is tossed 72 times. What is a reasonable prediction for the number of

Aneli [31]

Answer :

That’s it, the probability of getting tail on a single coin toss times the number of observations.

In this case, 1/2 * 72 = 36

However, there’s something called chance error. How much do you expect the result to differ from the expected value? It can be calculated as follows:

The Standard Deviation of this experiment is √(0.5)(0.5) =0.5

The Standard Error is √72 (0.5) ≈ 4.18330 round to the nearst tenth is 4

So, the expected value is 36, give or take 4.

And since the number of tails in a toss coin experiment is normally distributed, then you can expect the number of tails to be between -2 and +2 SEs from the expected value 95% of the time.

In other words, if you repeat this experiment a large number of times, you can expect to obtain between 27 and 43 tails 95% of the time.

Hope this helps

4 0

2 years ago

Given csc(A) = 60/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational

Katarina [22]

Answer:

$\displaystyle \sec A=\frac{65}{63}$

Step-by-step explanation:

We are given that:

$\displaystyle \csc A=\frac{65}{16}$

Where A is in QI.

And we want to find sec(A).

Recall that cosecant is the ratio of the hypotenuse to the opposite side. So, find the adjacent side using the Pythagorean Theorem:

$a=\sqrt{65^2-16^2}=\sqrt{3969}=63$

So, with respect to A, our adjacent side is 63, our opposite side is 16, and our hypotenuse is 65.

Since A is in QI, all of our trigonometric ratios will be positive.

Secant is the ratio of the hypotenuse to the adjacent. Hence:

$\displaystyle \sec A=\frac{65}{63}$

6 0

3 years ago

Read 2 more answers

Factor the polynomial

3241004551 [841]

$-2x^3-4x^2-6x=-2x(x^2+2x+3)\\\\Answer:\ D.$

3 0

3 years ago