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2 years ago

Evaluate 3 1/6 + 8 2/9 - 1 1/2

1 answer:

8 0

Hello! And thank you for your question!

First to make the question more easy to understand. We are going to make these three fractions improper fractions.

To do this I will give an example. 3 1/6. Do 6*3+1=19/6

Equation after made improper:

19/6 + 74/9 - 3/2

Now that we have this we can find the answer!

-------------------------------------

Work:

First you are going to find the LCD. And change all the numbers denominators to that LCD.

LCD = 18

Equation After incorporating LCD:

57/18 + 148/18 - 27/18

Second we are going to add all of the numerators together to get:

178/18.

Then simplify 178/18 to get:

89/9

Then convert 89/9 to a mixed fraction:

9 8/9

Final Answer:

9 8/9

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HELPPP ME PLEASE I REALLY NEED HELP

aliya0001 [1]

<h3>Answer: choice F) 12 & 1/2 square yards.</h3>

=====================================================

We'll use this formula

a & b/c = (a*c + b)/c

to convert from a mixed number to an improper fraction.

Let's convert the first mixed number to an improper fraction

a & b/c = (a*c + b)/c

3 & 3/4 = (3*4 + 3)/4

3 & 3/4 = 15/4

Repeat the same idea for the second mixed number as well

a & b/c = (a*c + b)/c

3 & 1/3 = (3*3 + 1)/3

3 & 1/3 = 10/3

--------------------

In short we have

3 & 3/4 = 15/4
3 & 1/3 = 10/3

Doing these conversions is useful to be able to multiply the values like so:

(15/4)*(10/3) = (15*10)/(4*3) = 150/12 = (6*25)/(6*2) = 25/2

Now use your calculator to find that 25/2 = 12.5

We can then say....

12.5 = 12 + 0.5 = 12 + (1/2) = 12 & 1/2

The answer is choice F) 12 & 1/2 square yards.

6 0

2 years ago

What is the value of the expression when p = –24 and q = 4?<br><br><br><br><br> p/2q

Tomtit [17]

6 0

3 years ago

A discuss moves from P1 (4,8) to P2 (15,17). What is the lincar displacement in the horizontal and vertical directions? What is

Yakvenalex [24]

Answer:

The horizontal displacement is 11 units, the vertical displacement is 9 units, and the projection angle is 39.3 degrees.

Step-by-step explanation:

We can start using the definition of displacement in one dimension between any 2 points which is the difference between them, so we have

$\Delta s = s_2-s_1$

And apply it to get the horizontal and vertical displacements.

Once we have found them, we can use trigonometric functions to find the projection angle with respect the horizontal.

Linear displacements.

Using the definition of displacement, we can write the horizontal displacement as

$\Delta x = x_2-x_1$

So we can use the given points $P1:(x_1,y_2) \text{ and } P_2: (x_2,y_2)$ on the displacement formula

$\Delta x = 15-4\\\Delta x = 11$

In the same manner we can look at the y components of those points to find the vertical displacement

$\Delta y = 17-8\\\Delta y =9$

Thus the horizontal displacement is 11 units and the vertical displacement is 9 units.

Projection angle.

The projection angle with respect the horizontal is the angle that is made between the line that connects the points P1 and P2 and the horizontal, so we can use the linear displacements previously found to write

$\tan(\theta) = \cfrac{\Delta y}{\Delta x}$

Solving for the angle we get

$\theta = \tan^{-1}\left(\cfrac{\Delta y}{\Delta x}\right)$

Replacing values

$\theta = \tan^{-1}\left(\cfrac{9}{11}\right)$

Which give us

$\theta = 39.3^\circ$

So the projection angle is 39.3 degrees.

7 0

3 years ago

*brainliest for best answer thank you* Solve for b.

vekshin1

Hello from MrBillDoesMath!

Answer:

The fourth choice, b = +\- sqrt( sg + a^2)

Discussion:

s = (b^2 - a^2)/g => multiply both sides by "g"

sg = b^2 - a^2 => add a^2 to both sides

sg + a^2 = b^2 => take the square root of each side

b = +\- sqrt( sg + a^2)

which is the fourth choice.

Thank you,

MrB

7 0

2 years ago

1v1 lol i'm a girl the code is za9nja

Naya [18.7K]

Answer:

i thought you was a guy ?

Step-by-step explanation:

3 0

2 years ago