The volume of this cube is 12,167 cubic millimeters. What is the value of r?

The answer you are looking for is letter A, x=30.

Solution/Explanation:

First, write out the equation,

1200-5(3x+30)=600

Next, using the Distributive Property,

1200-15x-150=600

Simplify the left side of the equation just a little bit more,

1050-15x=600

Reverse order of terms on the left side, to make it a little bit easier to solve,

-15x+1050=600

Now, subtract 1050 from both sides,

-15x+1050-1050=600-1050

Now, simplify this part of the equation,

-15x=-450

Finally, divide both sides by -15,

So, therefore, the final answer is x=30.

I hope this helped you. Enjoy your day, and take care!

Answer:

216

Step-by-step explanation:

Volume of a rectangular prism = area of base * depth

Area of base: 72

Depth: 3

Volume = 72 * 3 = 216

Answer:

(4, 6 )

Step-by-step explanation:

Given the equations

x - y + 2 = 0 ( subtract - y + 2 from both sides )

x = y - 2 → (1)

2x + y - 14 = 0 → (2)

Substitute x = y - 2 into (2)

2(y - 2) + y - 14 = 0 ← distribute and simplify left side

2y - 4 + y - 14 = 0

3y - 18 = 0 ( add 18 to both sides )

3y = 18 ( divide both sides by 3 )

y = 6

Substitute y = 6 into (1) for corresponding value of x

x = 6 - 2 = 4

solution is (4, 6 )

Answer:

just put in the cheat codes of life its not that hard

Answer:

answers is B

(Study island)

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Since the triangles are similar then the sides must be proportional

10/6 = x/12 cross multiply expressions

6x = 120 divide both sides by 6

x = 20

Answer:

b -7/8 > -0.50

Step-by-step explanation:

is your answer

Answer:

- 7/8 > -0.50

Step-by-step explanation:

-7/8 =-.875

Change to get decimals with decimals or fractions to have a common denominator

-.875 < -0.60  true

-.875 > -0.50  false

-14/16 > - 15/16 true

-7/8 < - 2/8true

Answer:

No solution

Step-by-step explanation:

A solution for a system of equations entails that all variables are the same. In this case, it means that both x and y must be the same.

Looking at the graph, there is no spot where y=3x+3 and 3x-y=2 intersect

To confirm, we can look at the equations. If we make them both equal to y, we can set them equal to each other.

For y=3x+3, this is already set to y. For 3x-y=2, we can add y to both sides and subtract 2 from both sides to get

3x-2=y

3x+3=y

Since the x and y values must be the same, we can say that

3x-2=3x+3

subtract 3x from both sides

-2 = 3

Since -2 is not equal to 3, we can confirm that there are no solutions to this system of equations

Answer:

Step-by-step explanation:

Nothing. A point is dimensionless. Ugh what an awful LOL.

How about the tip of a candle that has never been lit?

Answer:

Step-by-step explanation:

Out of 12 consecutive integers:

Sum of 3 integers will be divisible by 4 if the remainders are:

So total number of combinations is:

Answer:

Step-by-step explanation:

15x + 6y = 0

4x - 6y = -38

19x = -38

x = -2

2(-2) - 3y = -19

-4 - 3y = -19

-3y = -15

y = 5

(-2, 5)

mean marks of 100 students was 40.. It was discovered that 53 was misread as 83. Find the actual mean.

Total mean score = 40

[tex]mean \: = \frac{sum \: of \: observation}{number \: of \: observations} [/tex]

sum of observations

= mean × no of observations

= 40×100

= 4000

After the replacement, sum of new observation will be

=4000-83+53

= 3970

mean of new the observation will be

[tex] = \frac{3970}{100} [/tex]

[tex] = 39.7[/tex]

[Hence, the actual mean is 39.7]

Step-by-step explanation:

something is missing here.

it is not clear, what exactly is 27 km. only the side of the orange triangle ? or the whole distance to the 90 degree angle ?

but in both cases that is not enough. we need some information about the split ratio of the orange side and the white side. it some angles in the graphic.

otherwise I can simply keep the given sides with their lengths but freely move the line between the orange and white triangles. there are infinite many solutions.

is it meant to be an isoceles triangle (2 equal sides) ? it certainly does not look like it, but that would be the only case where the given information can lead to a solution.

under that assumption the baseline of the white triangle is also 27 km.

the first side is 9km.

the second side we get via Pythagoras :

27² = 9² + x²

729 = 81 + x²

648 = x²

x = 25.46 km

now, since this is a right-angled triangle we can (especially to calculate the area) also consider the two sides enclosing the 90 degree angle as baseline and height.

the area of a triangle is baseline×height/2

area = 9×25.46/2 = 114.55 km²

Answer:

undefined

Step-by-step explanation:

Here,

x1 = - 3

y1 = 6

x2 = - 3

y2 = 4

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope

= ( 4 - 6 ) / ( - 3 - ( - 3 )

= - 2 / 0

= undefined

Answer:

The slope is undefined.

Step-by-step explanation:

slope(m):

y2-y1/x2-x1

4-6 / (-3)-(-3)

-2 / 0

undefined ∞

Basically count/add up the total amount of degrees that are include in the angle <FHD.

-- (central angles)

So, 35 + 65 = 100 degrees

Answer:

252

Step-by-step explanation:

To be divisible by 3, it's digits have to add to a number that is a multiple of 3.

To be divisible by 4 its last 2 digits have to be divisible by 3.

So let's start with 1x1 which won't work because 1x1 is odd. so let's go to 2x2 and see what happens.

212 that's divisible by 4 but not 3

222 divisible by 3 but not 4

232 divisible by 4 but not 3

242 not divisible by either one.

252 I think this might be your answer

The digits add up to 9 which is a multiple of 3 and the last 2 digits are divisible by 4

Answer:

30.6 cm

Step-by-step explanation:

length times width gives you the area of a normal 2d triangle

Answer:

x + 14.7

Step-by-step explanation:

x + 6.2 + 8.5.

Combine like terms

x + 14.7

Answer:

139

Step-by-step explanation:

Supplementary angles add to 180 degrees

BOC + 41 = 180

BOC = 180-41

BOC = 139

Answer:

Stationary matrix S = [ 0.6   0.4 ]

limiting matrix  P = [tex]\left[\begin{array}{ccc}0.6&0.4\\0.6&0.4\\\end{array}\right][/tex]

Step-by-step explanation:

Transition matrix

[tex]p = \left[\begin{array}{ccc}0.8&0.2\\0.3&0.7\\\end{array}\right][/tex]

solving the equation SP = S ( using Markova chain with 2 states )

stationary matrix,  S = [ a , 1 - a ]

given that  SP  = S

[ a , 1 - a ] * [tex]\left[\begin{array}{ccc}0.8&0.2\\0.3&0.7\\\end{array}\right][/tex] =  [ a , 1 - a ]

= a*(0.8) + ( 1 - a ) ( 0.3 ) = a

∴ a = 0.6

hence;  stationary matrix S = [ 0.6   0.4 ]

             limiting matrix  P = [tex]\left[\begin{array}{ccc}0.6&0.4\\0.6&0.4\\\end{array}\right][/tex]

Answer:

x = 11

Step-by-step explanation:

Given 2 secants to a circle from an external point , then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

7(7 + x) = 6(6 + 15) ← distribute left side

49 + 7x = 6 × 21 = 126 ( subtract 49 from both sides )

7x = 77 ( divide both sides by 7 )

x = 11

Answer:

P=61°

Step-by-step explanation:

P²=C²+ U²–2 C U cos P

189²= 215²+123²– 2×215×123×cos p

P= 61°

I hope I helped you^_^

Answer:

[tex]\frac{4x+9}{2x+5}[/tex]

Step-by-step explanation:

Answer:

I have explained the answer in detailed steps for you. If you do not understand any steps, please comment below, and I will help you out.

Answer:

3600 i think

Step-by-step explanation:

Answer: P (4 or even) = 1/2 = 50% = 0.5

Step-by-step explanation:

Concept:

Here, we need to know the idea of probability.  

Probability is a measure of the likelihood of an event to occur.  

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

The numbers on a dice: 1, 2, 3, 4, 5, 6

Total numbers: 6

Numbers of 4 = 1

Numbers of even = 3

[Since 4 is one of the even numbers and they are overlapping, so we should subtract 1 from the number of favorable outcomes]

P (4 or even) = Favorable / Total (refer to attachment)

P (4 or even) = [(1 + 3) - 1] / 6

P (4 or even) = (4 - 1) / 6

P (4 or even) = 3 / 6

P (4 or even) = 1 / 2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

8

Step-by-step explanation:

3(y - 1) + 2x²

Let x =2 and y =1

3(1-1)+2 (2)^2

3(0) +2(4)

0+8

Answer:

4/2

Step-by-step explanation:

Rise/Run

4/2

Answer:

2

Step-by-step explanation:

y2 - y1 / x2 - x1

-1 - (-3) / 6 - 5

= 2/1

= 2

Answer:

Last option

-10x³ + 2x - 8

is the answer

HOPE IT HELPS YOU

Answer:

1st option

Step-by-step explanation:

If x = a is a zero of f(x) then (x - a) is a factor of f(x)

Here the zeros ( where the graph crosses the x- axis ) are

x = - 2, x = 1, x = 3 , then the corresponding factors are

(x - (- 2) ), (x - 1), (x - 3) , that is (x + 2), (x - 1), (x - 3)

f(x) is then the product of the factors , that is

f(x) = (x + 2)(x - 1)(x - 3)