options are

a) -2 and 12/5
b) 1 and 2
c)8/3 and 2
d) 3 and 4

Answer:

LCM of 3 and 2 is 6

so, firstly we had to make the denominator same:-

\( \frac{2(2a + 1) + 3(3a - 1)} {6} \)

\( \frac{4a + 2 + 9a - 3}{6} \)

\( \frac{13a - 1}{6} \)

Step-by-step explanation:

hope this helps you!!!

XxITSCHOCOLOVERxX

The simplified equation of \(\frac{2a+1}{3}+\frac{3a-1}{2}\) is \(\frac{13a-1}{6}\)

\(\frac{2a+1}{3}+\frac{3a-1}{2}\)

\(\frac{2a+1}{3}+\frac{3a-1}{2} = \frac{2(2a+1)+3(3a-1)}{6}\)

open the bracket in the numerator

Therefore,

\(\frac{2(2a+1)+3(3a-1)}{6}=\frac{4a+2 + 9a-3}{6}\)

combine like terms in the numerator

\(\frac{4a+2 + 9a-3}{6}=\frac{4a+9a+2-3}{6}\)

Hence,

\(\frac{4a+9a+2-3}{6}=\frac{13a-1}{6}\)

Therefore, the final equation is as follows

\(\frac{2a+1}{3}+\frac{3a-1}{2}=\frac{13a-1}{6}\)

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If you roll a fair six-sided die, you will receive the indicated number of points. After one roll, 3.5 points should be expected.

A six-sided cube with the digits 1-6 printed on the faces is the most popular type of die. The value of the roll is indicated by the number of "spots" that are visible at the top. The opposite faces on the six-sided die are positioned so that they always add up to seven. The word "die" is derived from Old French and Latin datum, which means "anything provided or played." The names of the numbers are preferable, but some seasoned gamblers still refer to the different sides of the dice by using the terms ace, deuce, trey, cater, cinque, and dice.

Add up all of the die's pips., \(1+2+3+4+5+6=21\).

The likelihood of a specific face being up on any roll of a single die is \(1/6\).

After one roll, the anticipated number of points is \(21/6= 3.5\)

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Answer: 8:4:12 I believe...

Step-by-step explanation: If the order is 2-his brother 1-his friend- and 3- himself, then I believe his brother would get eight, his friend 4, and he would have twelve.

Answer:

8:4:12

Step-by-step explanation:

Answer:

tan A = 28/45

Step-by-step explanation:

                                                                        opposite side

the tangent function is defined as tan A = ------------------------

                                                                        adjacent side

Here the length of the side opposite angle A is 28 and that of the side adjacent to A is 45.  Thus, the tangent of angle A is

tan A = 28/45

Answer:

Please check the explanation.

Step-by-step explanation:

Given that Richard gets a bonus of 30% of £130.

Thus,

Richard's bonus = 30% of 130

                           = 30/100 × 130

                           = 39

Thus, Richard gets £39.

Given that Connor gets a bonus of £40.

The difference between the bonus Richard gets and the bonus Connor gets.

Difference = Connor Bonus - Richard Bonus

                 = £40 - £39

                 = £1

It means Connor gets  £1 more than what Richard gets.

Therefore, the difference is: £1

Answer:

\(\sf Sin \ \theta = \dfrac{5}{13}\\\\Cos \ \theta =\dfrac{12}{13}\)

Step-by-step explanation:

            \(\sf =\dfrac{BC}{AB}\\\\ =\dfrac{5}{13}\)

\(\sf Cos \ \theta = \dfrac{adjacent \ side \ of \ angle \ A}{hypotenuse}\\\)

       \(\sf =\dfrac{AC}{AB}\\\\= \dfrac{12}{13}\)

250 ml is equivalent to 8.4535 ounces, making it a simple conversion to remember. Keep in mind that when converting between ounces and milliliters, it is important to use accurate conversion factors to ensure that your measurements are accurate.

Ounces and milliliters (ml) are both units of measurement for volume. Ounces are commonly used in the United States and some other countries, while milliliters are widely used in the metric system.

One important thing to remember is that 1 ounce equals 29.5735 milliliters.

To convert 250 ml to ounces, we divide 250 by 29.5735. Therefore, 250 ml is approximately equal to 8.4535 ounces. Understanding the conversion between ounces and milliliters is important, especially in the field of cooking, baking, and medicine.

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The two measuring devices used to measure liquid level in the tank are Displacer devices and Float- actuated devices. The options a and c are the correct answers.

Among the given measuring devices used to measure liquid level in the tank, Displacer devices and Float-actuated devices are the measuring devices used to measure liquid level in the tank. These are given below:

Displacer devices: These devices operate on Archimedes’ principle and are based on the design of a spring with a cylinder attached to its bottom end. These are generally used for level measurement in liquids that are not transparent and whose properties do not allow the use of other types of level indicators.

Float-actuated devices: These devices use the buoyancy principle and have a buoyant element. These are used for level measurement in transparent and opaque liquids where a reasonably accurate measurement of the level is needed. The given statement, "In on-off control switching differential is the range of process variable values where the controller tells final control element to open and to shut" is true. In on-off control switching differential is the range of process variable values where the controller tells final control element to open and to shut.

The statement "On-off controller used where precise control is not necessary and where the mass of system is small" is also true. On-off controller used where precise control is not necessary and where the mass of the system is small.

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Answer:

500 would be the answer of this question but it is also the standard form of this question

Answer:

$4.16

Step-by-step explanation:

To find out how much 8 ounces of frozen yogurt costs if each ounce costs $0.52, we can use an equation that looks like this:

Therefore, for 8 ounces of yogurt is will cost $4.16.

The two lines which must be parallel if m<1 + m<2 = 180° is c || d.

The correct answer choice is option D.

A parallel line is a line which is equally distant from one another at all points. It can also be said as a line having the same overall direction, not intersecting or coinciding.

If m<1 + m<2 = 180°

Then line c and line d are parallel to each other.

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To meet safety condition where distance between base of a ladder and the building should be one-third of the length of ladder, we can set up a proportion using the given information.Therefore, ladder is 60 feet long.

Let's denote the length of the ladder as L and the distance between the base of the ladder and the building as D.                                       According to the safety condition, we have the equation:

D = (1/3) * L

Given that the window is 20 feet above the ground, we can consider the ladder reaching the window as the height of the ladder, which is L, and the distance between the base of the ladder and the window as D + 20 (taking into account the 20 feet above the ground).

Using the proportion:

D + 20 = (1/3) * L

Substituting the safety condition equation into the proportion, we get:

(1/3) * L + 20 = (1/3) * L

Simplifying the equation, we find:

20 = (1/3) * L

To solve for L, we can multiply both sides of the equation by 3:

60 = L

Therefore, a ladder that is 60 feet long is needed to meet the safety condition, ensuring the distance between the base of the ladder and the building is one-third of the length of the ladder.

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Answer:

She never will finish it, or she finishes it in 3 days.

Step-by-step explanation:

The 1/3 would get smaller every day and we of oatmeal in the cup there for shell never finish it due to lack of information. Hope this helps.

Answer:

Step-by-step explanation:

radius of semicircle =4.7/2 m

area of semicircle=1/2 πr²

=1/2 ×π×(4.7)²

≈8.67 m²

fertiliser=8.67×20

=173.4

≈173 gm

The Newton method for solving nonlinear systems may converge to local extrema, requires computation of Jacobian matrices, and is sensitive to initial guesses. Applying the method to two iterations for system (a) with initial guess (1, 1) involves computing the Jacobian matrix and updating the guess using the formula (x₁, y₁) = (x₀, y₀) - J⁻¹F(x₀, y₀).

(a) The Newton method for solving nonlinear systems has a few disadvantages. Firstly, it may converge to a local minimum or maximum instead of the desired solution. This is particularly true when the initial guess is far from the true solution or when the system has multiple solutions. Additionally, the method requires the computation of Jacobian matrices, which can be computationally expensive and numerically unstable if the derivatives are difficult to compute or if there are issues with round-off errors. Lastly, the Newton method may fail to converge or converge slowly if the initial guess is not sufficiently close to the solution.

Applying the Newton method to compute two iterations for the system (a) with the initial guess (x₀, y₀) = (1, 1), we begin by computing the Jacobian matrix. Then, we update the guess using the formula (x₁, y₁) = (x₀, y₀) - J⁻¹F(x₀, y₀), where F(x, y) is the vector of equations and J⁻¹ is the inverse of the Jacobian matrix. We repeat this process for two iterations to obtain an improved estimate of the solution (x₂, y₂).

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Answer:

scalene

Step-by-step explanation:

all sides are different lengths so it is scalene

The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

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Answer:

-2

Step-by-step explanation:

Hope it helps

Answer:

180°

Step-by-step explanation:

The sum of the 3 interior angles of a triangle = 180°

Step-by-step explanation:

We have a diameter and vertical angles so

231.

180+51=231

Answer:

231

Step-by-step explanation:

The measure of arc WX is 51

XZ is a straight angle so its arc measures 180 degrees

The measure of arc WYZ

WYZ= WX + XZ

        = 51 + 180

            231

The lattice diagram of

24

Z

24

​ is a representation of the integers modulo 24, showing the relationships between the elements under addition and subtraction.

The lattice diagram of

24

Z

24

​  can be constructed by arranging the integers from 0 to 23 in a grid-like structure, with the vertical axis representing the first operand and the horizontal axis representing the second operand. Each point in the diagram corresponds to the result of adding the corresponding operands modulo 24.

Starting from 0 as the reference point, we can observe that by adding any integer modulo 24 to 0, we obtain the same integer. Similarly, subtracting any integer modulo 24 from 0 gives us the negation of that integer. This forms the first row and column in the lattice diagram.

Moving to the next row and column, we consider the results of adding or subtracting 1 modulo 24. As we progress through the rows and columns, we repeat this process for the remaining integers up to 23.

By connecting the points on the lattice diagram based on the addition and subtraction operations, we can see the relationships between the elements of

24

Z

24

​. It forms a symmetrical pattern, as the addition and subtraction operations are commutative and associative. The construction of lattice diagrams for modular arithmetic and their applications in abstract algebra and number theory.

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If Ridgewood Savings Bank charges a $27 per check overdraft protection fee. The amount she will owe the bank after July 12 is: $1,071.42.

Total obligation can be defined as the amount a person owe another person or the debt amount a borrower  is expected to payback to a lender.

Balance $1,400

July 9 check ($1,380.15)

Balance $19.85

July 10 check ($765.67)

($670 + $95.67)

Balance -$745.82 (Overdraft)

Now let find the amount she owe

Balance -$745.82

July 11 check $130

Balance -$875.82

July 12 check $87.60

Ending balance -$963.42

Overdraft fee $108

($27 ×4)

Total obligation -$1,071.42

Therefore her total obligation is $1,071.42.

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Answer:

-6

Step-by-step explanation:

Parallel lines have equal slope. So this question is basically asking you what is the slope of this line.

Make this equation into slope intercept form.

y= -6(x-3) -2

y= -6x +16

y=mx+b

Answer: {1, 2 , 3, 4, 5,6}

Step-by-step explanation:

A sample space is the set containing all possible outcomes for an event.

Given : Han rolls a standard number cube once.

The possible outcomes for rolling a standard number cube = 1, 2 , 3, 4, 5 ,6

So, the sample space would be = {1, 2 , 3, 4, 5,6}

Hence, the required sample space for Han = {1, 2 , 3, 4, 5,6}

Answer:

B (15,9)

Step-by-step explanation:

There you go

Answer:

a

Step-by-step explanation:

- 6x + 2y = - 12 → (1)

6x + 5y = 117 → (2)

Add the 2 equations term by term to eliminate the x- term

0 + 7y = 105

7y = 105 ( divide both sides by 7 )

y = 15

Substitute y = 15 into either of the 2 equations and solve for x

Substituting into (2)

6x + 5(15) = 117

6x + 75 = 117 ( subtract 75 from both sides )

6x = 42 ( divide both sides by 6 )

x = 7

solution is (7, 15 ) → a

Answer:

im pretty sure its D

Step-by-step explanation:

Answer:

=133

Step-by-step explanation:

1. Divide both sides of the equation by the same term

19=2527

2. Simplify

If you divide numbers you will get:

=133

And that's the answer

I hope this helps     :)