Complete the solution the equation. Find the value of y when x equals 15 .

Answers

Answer 1

Answer: -15+15 - 9y =39+15
-9y=54
y= -6

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What is the value of x? 6(-3-x)-2x=14

Answers

Let's solve your equation step-by-step:

It's usually easier to rewrite the equation, so let's do that

6(-3-x)-2x = 14

Step 1: Simplify both sides of the equation.

6(-3-x)-2x = 14

Simplify: (Distribute)

(6)(-3)+(6)(-x)+-2x=14

-18+-6x-2x = 14

(-6x + -2x) + (-18) = 14

(Combine like terms)

-8x+-18 = 14

-8x - 18 = 14

Step 2: Add 18 to both sides

-1x-18+18 = 14+18

-8x = 32

Step 3: Divide both sides by -8

-8x/8 = 32/-8

x = -4

Final answer -

x = -4

You can check your work by replacing your x by -4 so your equation will equal 14. Remember, use PEMDAS or your answer will not come out correctly.

↑ ↑ ↑ Hope this helps! :D

The equation given in the question has one unknown variable in the form of "x" and only one equation is required to find the value of the unknown variable. So it is absolutely possible to find the exact value of "x".
6(-3 - x) - 2x = 14
-18 - 6x - 2x = 14
-18 - 8x = 14
Multiplying both sides of the equation by -1 we get
8x + 18 = - 14
Dividing both sides by 2 we get
4x + 9 = - 7
4x = - 7 - 9
4x = - 16
x = - 16/4
= - 4
So the value of "x" comes out to be equal to - 4. I hope the procedure is clear enough for you to understand.

A square patio has an area of 197 square feet how long is each side of the patio to the nearest 0.05

Answers

If it is a square, all the sides are the same, i would think all the sides are 197 square feet.

SOMEONE PLEASE HELP ITS URGENT!!The prism has a volume of 120 cm3.

What would the volume of the prism be if each dimension were halved?

Answers

The volume of the prism is (Length x Width x Height).
To make it easier to work with, let me write (L x W x H).

If you cut each dimension in half, then the volume is

   (1/2 x L) x (1/2 x W) x(1/2 x H) .

It's pretty easy to rearrange that, and see what's going on:

   1/2 x L x 1/2 x W x1/2 x H =

   (1/2 x 1/2 x 1/2) x (L x W x H) =

      ( 1/8 ) x (original volume) =

   ( 1 / 2³ ) x (original volume)

Here's the general rule:

If you multiply all the linear dimensions of a drawing OR an object
by some factor 'K' , then

-- all of the linear features, like perimeter, diagonal, circumference,
diameter etc. are all multiplied by 'K' .

-- the 2-dimensional things on it, like area of the drawing, or surfaces
of a prism, sphere or any blob, are all multiplied by K² .

-- the 3-dimensional features, like volume of any prism, pyramid,
sphere, blob, ellipsoid, cylinder etc. are all multiplied by K³ .

if the volume of the prism were halved it would be 140

The center of a soccer field has an area of 100 $\pi$ m squared. Find the circumference of the center circle.

Answers

The formula for the area of a circle is A=πr². To find the circumference, we must find the radius, r. To do this, we plug in the area for A in the first formula, then plug it in to the circumference formula:
$100 \pi = \pi r^(2) \n (100 \pi )/( \pi ) = ( \pi r^(2) )/( \pi ) \n 100= r^(2) \n √(100)= \sqrt{r^(2) } \n r=10m$

Now we know that r=10 meters. Now we plug this into the circumference formula, C=2πr.
$C=2 \pi 10 \n C=20 \pi$

The answer is 20π meters.

Hope this helps!

( 5x + 685 ) + ( 12x - 106 ) = 2500

Answers

Answer:

x = 113

Step-by-step explanation:

( 5x + 685 ) + ( 12x - 106 ) = 2500 ( 685 - 106 = 579)

17x + 579 = 2500

17x = 2500 - 579

17x = 1921

x = 1921 / 17

x = 113

Measures of center questions, please help.

Answers

1. The mode is C. 18
2. The median is B. 16
3. The mean is D. 14.25
4. The median is 2.3
5. The mean is 18

1) the mode is the number that repeats the most in a given set of numbers, so the answer would be c, 18
2) the median is b, 16 (if you put the numbers in chronological order, there are two middle numbers, to get the median you have to average those two numbers)
3) the mean is d, 14.25 (add all the numbers up and divide by the amount of numbers that you have [if you have 5 numbers, you divide by 5])
4) the median is 2.3
5) the mean is 18
hope this helps!

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