Which is the least common multiple of 4 and 12

a. The sum of money shared is $14,000. b. Andrew received $4,200, Berth received $2,800, and Carlton received $7,000.

Given that the ratio of the money shared among Andrew, Berth, and Carlton is 3:2:5, we can represent their shares as 3x, 2x, and 5x, respectively, where x is a common ratio.

If Carlton received $4,200 more than Berth, we can write an equation as follows:

5x = 2x + $4,200

Solving for x, we get x = $1,400.

Therefore, Andrew's share is 3x = 3 * $1,400 = $4,200, Berth's share is 2x = 2 * $1,400 = $2,800, and Carlton's share is 5x = 5 * $1,400 = $7,000.

The sum of money shared is the total of their shares, which is $4,200 + $2,800 + $7,000 = $14,000.

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The simplest form in parenthesis is option C which is negative five sixths times x plus eight  (- 5x/6 + 8)

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

WE have Given equation as; parenthesis negative two thirds times x minus 6 end quantity minus quantity negative 14 plus one sixth times x end parenthesis,

( -2/3 * x - 6 )  -  ( -14 + 1/6 * x)

Now solving the equation will gives;

= ( -2/3 * x - 6 ) - ( -14 + 1/6 * x )

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

= -2x/3 - 6 + 14 - x/6

Now collecting like terms;

= -2x/3 - x/6 - 6 + 14

= - 5x/6 + 8

Therefore the correct answer is option C; negative five sixths times x plus eight (- 5x/6 + 8)

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f(x) = 13x-7 and g(x) = (x+7)/13

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

Explanation:

Let's go through the answer choices to see which pairs are inverses or not.

The process of finding an inverse follows these steps

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

Choice A

f(x) = (x/3) + 10

y = (x/3) + 10 .... f(x) replaced with y

x = (y/3) + 10 .... x and y swapped; solve for y from here

x-10 = y/3

y = 3(x-10)

y = 3x-30

g(x) = 3x-30

This doesn't match the g(x) = 3x-10 listed. We can rule out choice A.

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

Choice B

f(x) = cube root of 4x

y = cube root of 4x

x = cube root of 4y

x^3 = 4y

4y = x^3

y = (1/4)x^3

g(x) = (1/4)x^3

This is close to what is listed, but the 4 is not being cubed. We can rule out choice B as well.

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

Choice C

f(x) = 13x-7

y = 13x-7

x = 13y-7

x+7 = 13y

13y = x+7

y = (x+7)/13

g(x) = (x+7)/13

This is a perfect match to what choice C is saying. Therefore, choice C is the final answer. If you applied this process in reverse, you'd find that g(x) leads to the inverse f(x).

Further confirmation would be to show that f(g(x)) = x and g(f(x)) = x for all real numbers x. I'll let you do this step.

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

For the sake of completion, let's check choice D

f(x) = (9/x) - 5

y = (9/x) - 5

x = (9/y) - 5

x+5 = 9/y

y(x+5) = 9

y = 9/(x+5)

g(x) = 9/(x+5)

Choice D lists (x+5)/9 instead of 9/(x+5), so we can rule out choice D.

Answer:

55 degrees

Step-by-step explanation:

Hi there!

The sum of the interior angles of a triangle is always 180 degrees.

We can solve for the interior angles at the bottom by subtracting both 135 and 100 from 180 (because straight lines have a measure of 180 degrees too):

180-135 = 45 degrees

180-100 = 80 degrees

Now, to solve for the final angle at the top, subtract 80 and 45 degrees from 180:

180-80-45 = 55 degrees

This angle at the top measuring 55 degrees is the opposite angle of x. Opposite angles are always congruent, so therefore, x measures 55 degrees.

I hope this helps!

Answer:

56 meters

none of these

Step-by-step explanation:

4*2=8

8*6=48

48+8=56

Answer:

32

Step-by-step explanation:

you add all the sides and to find the missing side you add 4+4 because it is the opposite and the other 8-6 to get 2 so 4+8+8+6+4+2=32

The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.

The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.

Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:

y - 3 = 1(x - (-1))

Simplifying:

y - 3 = x + 1

Now, we can rewrite the equation in the standard form:

y = x + 4

Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

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Using the concept of rotational symmetry, the angle of rotation about the center that results in an image that matches the original figure is; Option A:  90

Rotational symmetry is defined as a process that requires the rotation of a given object about a reference point to produce its image which has the same characteristics. This tells us that its dimensions, measure of internal angles and size do not change except its orientation. The orientation depicts the way in which the object is positioned.

The sum of an angle formed at a point is 360 degrees. Thus turning a given object about a point implies its rotation with respect to a measured  angle.

Thus in the diagram given in the question, the pattern shown divides the angle at the centered point into four equal parts.

Thus;

Angle of rotation = 360/4 = 90 degrees

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f(-2) is the value of f(x) when x = -2 :

Substitute x = -2 to f(x)

f(-2) = 4(-2)^2 - 3(-2) + 7

= 4(4) + 6 + 7

= 16 + 6 + 7

f(-2) = 29

Answer:

1.98

Step-by-step explanation:

y - x + z for

x = 4.7, y = 6, and z=0.68

6 - 4.7 +.68

1.3+.68

1.98

Answer:

\(= 1.98 \\ \)

Step-by-step explanation:

given that,

\(x = 4.7 \\ y = 6 \\ z = 0.68\)

Let's solve now

\(y - x + z \\ 6 - 4.7 + 0.68 \\ 1.3 + 0.68 \\ = 1.98\)

Answer:

B

Step-by-step explanation:

use quadratic formula:  (-b ±√b²-4ac) ÷ 2a

a = 10,  b = -9,  c = -6

Answer: The angle is in the second quandrant

Step-by-step explanation:

If sin of theta is greater than 0, the angle theta has to be in either the first or second quandrant. If tangent of theta is less than 0, it cannot be in the first or third quandrant. Therefore, we know the angle is in the second quandrant.

given that m is parallel to n,

the angle opposite (2x + 16)° is also (2x + 16)° as vertically opposite angles are equal.

using the corresponding angle rule we know that:

2x + 16 = 96

2x = 80

so x = 40

Answer:

slope (m) = 2/3

Step-by-step explanation:

slope = change in x /change in y

Also, slope is y2 - y1 / x2 -x1. That is what I apply for this activity, hence:

slope = 3 - (-1) / 0 - (-6)

         = 3 + 1 / 0 + 6

         = 4 / 6

         = 2/3

∴ slope(m) = 2/3

The value of the function is -19.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -3x + 2

Substitute x = 7.

f(7) = -3 x 7 + 2

f(7) = -21 + 2

f(-7) = -19

Thus,

-19 is the value.

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Answer:

36° , 54° , 90°

Step-by-step explanation:

since the triangle is right then one angle is 90°

the ratio of the smaller angles = 3 : 2 = 3x : 2x ( x is a multiplier )

the sum of the 3 angles in the triangle is 180° , that is

3x + 2x + 90 = 180

5x + 90 = 180 ( subtract 90 from both sides )

5x = 90 ( divide both sides by 5 )

x = 18

Then

3x = 3 × 18 = 54°

2x = 2 × 18 = 36°

the 3 angles measure 36° , 54° , 90°

In general, when working with any software or application, it is helpful to familiarize oneself with the available tools and functions and to experiment with different keystroke sequences to find the most efficient and effective method for the task at hand.

Keystroke sequences are sets of commands that are used to perform a specific task on a computer or other electronic device. The effectiveness of a keystroke sequence depends on the task at hand and the software or application being used.

Finding a shaded area typically involves using a mathematical formula to calculate the area of the shape and then subtracting the area of any unshaded portions.

Depending on the software or application being used, there may be built-in tools or functions to assist with this calculation.

P.S: This is a general overview, seeing the question is incomplete.

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Answer:

6 hundred

Step-by-step explanation:

the value of 6 in 2693 is 6 hundred as :-

TH. H. T. O

2. 6. 9. 3

6 comes under the hundred's value

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Answer:

6 hundred

Step-by-step explanation:

tama po yan im suree lab yow

Answer:

the question is not visible

Answer:

1.44632768 hours

Step-by-step explanation:

Time = 256/2.95 = 86.779661 minutes or 1.44632768 hours

The given data as;

Expected value define as the summation of xP(x)

So;

So, expected value is the summation of xP(x);

Expected value = Summation of xp(x)

= -0.8 + (-0.3) + (-0.4) + (-0.1) + 0

= -0.8 - 0.3 - 0.4 - 0.1 + 0

= -1.6

Answer ; Expected value = -1.6

...

The requreid,
(a) Approximate values of the given numbers are π ≈ 3.1, √6 ≈ 2.4, 2√6 ≈ 4.8, and √7 ≈ 2.6.
(b) √6  < √7 <  π  < 2√6

(a)

π ≈ 3.1 (since π is between 3 and 4, and is closer to 3.1 than to 3.2)

√6 ≈ 2.4 (since 6 is between 4 and 9, and the square root of 6 is closer to 2.4 than to 2.5)

2√6 ≈ 4.8 (since 2√6 is approximately twice the value of √6, which is 2.4)

√7 ≈ 2.6 (since 7 is between 4 and 9, and the square root of 7 is closer to 2.6 than to 2.7)

(b)

Order from least to greatest:

√6  < √7 <  π  < 2√6

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Answer:

because if there are ATMs that arent in network, then you wont have coverage for what you pay for

Answer:

Vertex:

(

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Focus:

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Axis of Symmetry:

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Directrix:

y

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Focus:

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Step-by-step explanation:

Answer:

the answer is -3.

Step-by-step explanation:

To find the combined rate of all the individuals working together, you must add the individual rates.

When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.

This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.

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x+7.9=8.5

solving x would be .6

if my answer helps please mark as brainliest.

(1) +8,+4,0,+2,+3 = 0 , 2 , 3 , 4 , 8

(2) -1,-11,-5,-0,-12 = -12 , -11 , -5 , -1 , -0

To solve the exercise you can propose the following system of linear equations:

To solve the system of linear equations you can use the method of reduction or elimination. To do this first multiply Equation 1 by -32 and add both equations, then solve for the variable y:

Finally, replace the value of the variable y into any of the initial equations and solve for the variable x. For example, replace the value of the variable y in Equation 1:

Therefore, 15 double rooms and 8 single rooms were rented.