-3(4x - 2) -4 = 2(1 - 6x) what is the solution for this question

Canon has 12 jigsaw puzzles in total.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Let us say puzzles solved by :

Arthur be x

Conan be y

Doyle be z

also,

Here, it is given that :

Arthur has completed four times as many jigsaw puzzles as Conan which means :

x = 4y.......(1)

Doyle has completed three times as many jigsaw puzzles as Conan which  means :

z = 3y.....(2)

Doyle has completed 12 fewer jigsaw puzzles than Arthur has means :

z = x-12....(3)

now, to find the number of jigsaw puzzles does Conan (y) we equate equation (2) and (3) to find the value of y also by putting value of x in equation (3) :

3y = x-12

3y = 4y-12

4y-3y = 12

y = 12

Therefore, Canon has 12 jigsaw puzzles in total.

Read more about equations at :

https://brainly.com/question/10413253

#SPJ1

Answer:

A. intersecting lines

Step-by-step explanation:

When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection.

The sale price of the shoe is given as follows:

P3,436.

The sale price of the shoe is obtained applying the proportions in the context of the problem.

The initial price is of:

P 4,295.

The shoe is sold at a discount of 20%, meaning that the sale price is 80% of the initial price, and the value is given as follows:

0.8 x 4295 = P3,436.

The problem asks for the selling price of the shoe.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

x=11

Step-by-stepx+11 explanation:

this was an accident ignore this

Answer:

The probability of spending between 4 and 7 days in recovery

P(4≤x≤7) = 0.5445

Step-by-step explanation:

Step(i):-

Given mean of the Population μ = 5.3 days

Given standard deviation of the population 'σ' = 2 days

Let 'X' be the random variable in normal distribution

Let    x₁ = 4

\(Z_{1} = \frac{x_{1}-mean }{S.D} = \frac{4-5.3}{2} = -0.65\)

Let    x₂ = 7

\(Z_{2} = \frac{x_{2}-mean }{S.D} = \frac{7-5.3}{2} = 0.85\)

Step(ii):-

The probability of spending between 4 and 7 days in recovery

P(4≤x≤7) = P(-0.65≤Z≤0.85)

             =  P(Z≤0.85) - P(Z≤-0.65)

            = 0.5 + A( 0.85) - ( 0.5 - A(-0.65)

            = 0.5 + A( 0.85) -  0.5 +A(0.65)   ( ∵A(-0.65) = A(0.65)

           =   A(0.85) + A(0.65)

          = 0.3023 + 0.2422

         = 0.5445

Final answer:-

The probability of spending between 4 and 7 days in recovery

P(4≤x≤7) = 0.5445

Answer:

4039.25

Step-by-step explanation:

(100) (40) + 79 − 40 + 1/4

16157 /4 = 4039.25

The value of the missing segment n using the product of intersecting chord theorem is 14cm

The product of the segments of two intersecting chords are equal.

The segments of the chords ;

Chord 1 = 4 and n

Chord 2 = 7 and 8

The principle can be related Mathematically thus ;

4 × n = 7 × 8

4n = 56

Divide both sides by 4

4n/4 = 56/4

n = 14

Therefore, the value of n in the question is 14cm

Learn more on circles ;https://brainly.com/question/14868497

#SPJ1

The correct option of system of equations that can be used to find the temperature at which the degrees Celsius and the degrees Fahrenheit would be equivalent is the option;

5·F - 9·C = 160

F - C = 0

A system of equation, is a set of equation that have common variables.

The equation for conversion of the temperature in degrees Celsius to the temperature in degrees Fahrenheit is; 9·C = 5·F - 160

When the temperature in degrees Celsius is equivalent to the temperature in degrees Fahrenheit, we get;

F = C

Therefore;

F - C = 0

Similarly, from the specified equation, we get;

9·C = 5·F - 160

5·F - 9·C = 160

The system of equation that would give the temperature where the degrees Celsius and degrees Fahrenheit are equivalent is therefore;

5·F - 9·C = 160

F - C = 0

(Which yields a temperature of 40°)

Learn more on linear systems of equations here; https://brainly.com/question/14323743

#SPJ1

Answer:

-9

Step-by-step explanation:

x+x-9=-27

2x=-27+9

2x=-18

x=-9

Answer:

-2,  (-5 is extraneous)

Step-by-step explanation:

assuming √(x+6) -4 =x

√(x+6) = x+4

square both side

x+6 = (x+4)^2

x+6 = x^2+8x+16

x^2+7x+10=0

(x+2)(x+5) = 0

x = -2, -5

put -5 back into org equation and it is not true

√(-5+6) -4 ≠ -5

Answer:

x=3 and AB=20

Step-by-step explanation:

If CB and BD are equal segments then you can solve for x by solving for

3x+6=8x-9

3x+15=8x (Add 9 to both sides)

15=5x (Subtract 3x from both sides)

x=3 (Divide 5 by both sides)

To find AB, substitute 3 and x

7(3)-1

21-1

20

Answer:

20.52 cm²

Step-by-step explanation:

\(\textsf{Area of a semicircle}=\sf \dfrac12\pi r^2 \quad \textsf{(where r is the radius)}\)

\(\textsf{Area of a triangle}=\sf \dfrac12bh \quad \textsf{(where b is the base and h is the height)}\)

Given:

\(\begin{aligned}\implies \textsf{Shaded area} & =\sf \dfrac12\pi r^2-\sf \dfrac12bh\\ & = \sf \dfrac12 \cdot 3.14 \cdot 6^2-\dfrac12 \cdot 12 \cdot 6\\ & = \sf 56.52-36\\ ^& = \sf 20.52\:\:cm^2\end{aligned}\)

Answer:

20.52cm^2

Step-by-step explanation:

from the picutre we can see that this is a semicircle with 2 right angle triangles inside it. to find the area we will solve for the semi circle then solve for the triangles and and subtract

circle area is \(\pi r^{2}\) leaving the semicircle to be \(\frac{\pi r^{2} }{2}\) for the semi circle

next we need the radius. since the diameter is given, we can solve for r by dividing it in two

12 ÷ 2 = 6

so the area of the semi circle is \(\frac{\pi 6^{2} }{2}\)

this gives 18\(\pi\)cm^2 if we simplify

next the triangles, since they are equal in size we can treat them as a square and stack them. this is because they have equal side lengths so when stacked they form a square:

base x height divided by 2 times 2 would be the normal process to find two equal triangles but you can see the division and multiplication cancel out

6x6= 36cm^2

finally subtracting the areas to find the shaded region and use 3.14 as pi

18\(\pi\)cm^2 - 36cm^2 = 20.52cm^2

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

5x = 12 + 3

5x = 15

\(x = \frac{15}{5} \\ \)

x = 3

Answer:

3

Step-by-step explanation:

5x-3=12

5x=12+3

5x=15

x=15/5

x=3

Frankenstein, Victor feels, for the first time in a long time, a sense of joy and calm,  An award for creating the monster causes these feelings.

To learn more about Frankenstein,  refer,

https://brainly.com/question/14669816

#SPJ4

Frankenstein, Victor feels, for the first time in a long time, a sense of joy and calm,  An award for creating the monster causes these feelings.

To learn more about Frankenstein,  refer,

brainly.com/question/14669816

#SPJ1

Answer:

59 or infant

Step-by-step explanation:

she will either live to be 59 each time or she will live to be a undying God like being

Answer:

slope:-15

Y-intercept: 275

Step-by-step explanation:

say “x” is how many weeks have passed. Every week the total amount is less by 15. So that would be your slope. For the y-intercept, it says that Kayla starts with $275 in her bank account. So after 0 weeks, there is $275 there. This means that 275 is your y-intercept.

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

Learn more about mean absolute deviation at: https://brainly.com/question/447169

#SPJ1

The scale factor of the dilation is 48.

The scale factor is a mathematical concept that describes the ratio of the lengths, areas, or volumes of two similar geometric figures. Similar figures have the same shape but may have different sizes.

When one figure is a dilation (a type of transformation that changes the size of a figure without changing its shape) of another figure, the scale factor is the ratio of the corresponding side lengths or dimensions of the two figures.

The scale factor of the dilation is the ratio of the length of the image to the length of the original object. In this case, the length of the image is 12 millimeters and the length of the original object is 0.25 millimeters. Therefore, the scale factor is:

scale factor = length of image/length of the original object

scale factor = 12 mm / 0.25 mm

scale factor = 48

So the scale factor of the dilation is 48.

To know more about scale factors follow

https://brainly.com/question/28565537

#SPJ1

Answer:

Step-by-step explanation:

The correct answer is a. A larger sample size was used.As per the Law of Large Numbers, the more times an experiment is repeated, the closer the actual results will be to the expected probability. In this case, rolling the cube 100 times provides a larger sample size than rolling it only 20 times. The more rolls that are made, the greater the likelihood that the actual results will converge towards the expected probability of 1/2 for rolling an even number.Option b, The 100 tosses were controlled better, is not relevant to this scenario since the fairness of the cube is assumed.Option c, The expected probability changed when the cube was rolled 100 times, is not true. The expected probability of rolling an even number on a fair six-sided die is always 1/2, regardless of the number of times it is rolled.Option d, The thrower considered only the even rolls, and disregarded the odd rolls, is not a valid assumption. The question states that the number of even rolls was recorded, but it does not imply that odd rolls were disregarded.

Answer:

The fence will constantly move until the wall is finished.

Step-by-step explanation:

Since you build sections of a wall for the prison, you move the fence to the area. You have to budget rent for the fence and labor to move it as the wall evolves.

After the raise, Tyler's brother will make $14 x 1.05 = $14.70 per hour.

Answer:

14 x 1.05 = 14.70

Step-by-step explanation:

Answer:

  19.2

Step-by-step explanation:

You want the solution to 38.4 = 2x.

When you divide both sides of the equation by 2, you will have your answer.

  38.4/2 = (2x)/2

  19.2 = x

The solution to the equation is x = 19.2.

__

Additional comment

When you learned multiplication and division, you learned that each multiplication fact corresponds to two division facts:

  A = B×C . . . . . . . 6 = 2×3

  A/B = C . . . . . . . . 6/2 = 3

  A/C = B . . . . . . . . 6/3 = 2

We use that relationship here to find the value of one of the factors in the product:

  38.4 = 2·x

  38.4/2 = x

The other division fact is still true, but isn't useful here for finding the value of x.

  38.4/x = 2

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

For more such questions on points, click on:

https://brainly.com/question/26865

#SPJ8

Answer:

628

Step-by-step explanation:

Deposit means money is going into the bank so add 129 onto 499

(b) writing a cheque means money is coming out of the bank so subtract 24 from your previous answer.

    628 - 24 = 604

(c) again, this money is coming out so take 151 away from 604

(d) round 604 to the nearest hundred

     (it's between 600 and 610 but which is it closest to?)