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3 years ago

Find the average of the following numbers: 124, 456 and 785

Mathematics

2 answers:

Oxana [17]3 years ago

6 0

Answer:

The answer is 455.

Step-by-step explanation:

You add them all up, then divide the sum by 3.

Radda [10]3 years ago

3 0

Answer: 455

Step-by-step explanation:

To find the average of the following numbers you must find their sum.

124+456+785=1365

Then you have to divide by the total amount of numbers, which in this case is 3.

1365/3=455

The average of of 124, 456, and 785 is 455.

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The three lines 8x+3y=12, 6y-7x=24, x+9y+33=0 intersect to form a triangle. Find the coordinates of its centroid

kicyunya [14]

Answer:

coordinates of its centroid=(-1,-1)

Step-by-step explanation:

The given three lines are:

8x+3y=12, (1)

6y-7x=24 (2)

and x+9y+33. (3)

Multiplying equation (1) by 2 and subtract the equation (2), we get

23x=0⇒x=0,

Putting the value of x=0 in equation (2), we get

6y=24

y=4

Now, multiply the first equation by 3 and subtract the equation (3), we get

23x=69⇒x=3

Putting the value of x=3 in equation (1), we get

24+3y=12

3y=-12

y=-4

Also, multiplying the equation (3) by 7 and add the equation (2), we get

69y=-207

y=-3

Putting the value of y=-3 in equation (2), we get

6(-3)-7x=24

-18-24=7x

x=-6

So the centroid is located at (the average of the three vertices):

$x=\frac{0+3-6}{3}=\frac{-3}{3}=-1$ and $y=\frac{4-4-3}{3}=\frac{-3}{3}=-1$ .

Thus, the coordinates of its centroid=(-1,-1)

3 0

3 years ago

The proportion of red marbles to blue marbles in a jar is 3 to 8. If there are 56 blue marbles in the jar, how many red marbles

natita [175]

Answer:

Step-by-step explanation:

3:8

8x7 = 56

3x7 = 21

5 0

3 years ago

Simplify the expression.<br> 4(-8x + 5) – (-33x – 26) = ______

ziro4ka [17]

Answer:

14+33x

Step-by-step explanation:

you have to break it up

4x(-3)+33x+26 MILTIPLY

-12+33x+26 CALCULATE

Solution is 14+33x

I HOPE THIS HELPS YOU

7 0

2 years ago

Which function has the domain x>-11

Marat540 [252]

<h2>Answer</h2>

$y=\sqrt{x+11} +5$

<h2>Explanation</h2>

Remember that the square root function is not defined, in the set of real numbers, for negatives values, so its radicand (the thing inside the square root) must be zero or bigger than zero. In other words, to find the domain of a square root function, you should set the thing inside the radical bigger or equal to zero and solve for x. Let's find the domain of each one of our functions:

For $y=\sqrt{x+11} +5$

The thing inside the square root is $x+11$ , so we are setting that bigger or equal than zero and solve for x to find the domain of the function:

$x+11\geq 0$

$x\geq -11$ domain

For $y=\sqrt{x-11} +5$

$x-11\geq 0$

$x\geq 11$ domain

For $y=\sqrt{x-5} -11$ and $y=\sqrt{x-5} +11$

$x+5\geq 0$

$x\geq -5$ domain

As you can see, the only one that has the domain $x\geq -11$ is the first choice.

7 0

3 years ago

Find the value of x. Round the length to nearest tenth.

Lady_Fox [76]

From the law of sines, we have

$l = h\sin(\theta) = h\cos(\alpha)$

where $l$ is the leg we're interested in, $h$ is the hypothenuse, $\theta$ is the angle opposite to $l$ , and $\alpha$ is the angle between $l$ and $h$ .

So, in the first case, we can use

$x = 15\sin(35) \approx 8.6$

And in the second excercise, we use

$x = 11\cos(44) \approx 7.6$

5 0

3 years ago

Read 2 more answers