4 1/3x + 16 = 2 2/3x + 21

The value of x for the given equation (2x+5)=(17x-14) will be 19/15.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,

(2x+5)=(17x-14)

We have to rearrange the equation by applying the arithmetic operation for the like term, the terms which are similar, and we can perform arithmetic operations on it like addition and subtraction.

17x-2x=5+14

15x=19

x=19/15

Thus, the value of x for the given equation (2x+5)=(17x-14) will be 19/15.

The question is incomplete, the complete question is"solve the value of x for the given equation,

(2x+5)=(17x-14)

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Answer: 9

Step-by-step explanation:

Each input is multiplied by 5. This means to get x, we need to divide 45 by 5, which is 9.

The equations 66 ÷ 10  = 6.6, 660 ÷ 10 = 66, 0.66 ÷ 10 = 0.066, and 6 ÷ 100 = 0.06 are true. which is the correct answer would be options (A), (B), (D), and (E).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

A. 66 ÷ 10  = 6.6

66/10 = 6.6

This is the true equation.

B. 660 ÷ 10 = 66

660/10 = 66

This is the true equation.

C. 6,600 ÷ 1,000 = 0.66

This is not the true equation.

D. 0.66 ÷ 10 = 0.066

This is the true equation.

E. 6 ÷ 100 = 0.06

This is the true equation.

Thus, the equations 66 ÷ 10  = 6.6, 660 ÷ 10 = 66, 0.66 ÷ 10 = 0.066, and 6 ÷ 100 = 0.06 are true.

Hence, the correct answer would be options (A), (B), (D), and (E).

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Answer: 240 combinations

Step-by-step explanation: So basically because you can have a possibility of 16 people being chairperson and 15 vice chairpersons, so all you have to do is multiple 16x15 which is 240.

Answer:

Triangle

Step-by-step explanation:

It has three side unlike the others can't have three sides

Yes Timothy is correct because triangle AKLM was dilated by a scale factor of 1.5 centered at the origin.

In Geometry, dilation simply refers to a type of transformation which changes the size of a geometric object based on the scale factor, but not its shape.

For the given vertices of triangle KLM, the dilation with a scale factor of 1.5 from the origin (0, 0) or center of dilation should be calculated as follows:

Point K (-1, 3) → Point K' (-1 × 1.5, 3 × 1.5) = Point K' (-1.5, 4.5).

Point L (8, 4) → Point L' (8 × 1.5, 4 × 1.5) = Point L' (12, 6).

Point M (10, -3) → Point M' (10 × 1.5, -3 × 1.5) = Point M' (15, -4.5).

In conclusion, the coordinates of the image triangle K'L'M after a dilation with a scale factor of 1.5 from the origin are (-1.5, 4.5), (12, 6), and (15, -4.5) as shown in the graph, and as such Timothy is correct.

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The perimeter of the given figure is 19 cm and area is 20 cm².

What is perimeter?

A perimeter could be a closed path that encompasses, surrounds, or outlines either a 2 dimensional form or a one-dimensional length. The perimeter of a circle or an oval is termed its circumference.

Main body:

to find the perimeter we need the measurement of each side.

so length of DE side

DE = A F - BC

DE = 6-2

DE = 4 cm

so perimeter = 6+4+2+4+3

                     = 19 cm

area of figure =  area of rectangle ABCG + GDEF

area = 4*3 + 4*2

area of figure = 12+8

Hence area is 20 cm².

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Answer:

Their Divider

Step-by-step explanation:

1-->1/2+1/2-->1/4+1/4+1/4+1/4-->etc.

The function that can represent the graph is the option;

f(x) = x²·(x - a)²·(x - b)⁴·(x - c)

A function that only uses non-negative integer powers or only positive integer exponents of a variable in an equation is referred to as a polynomial function.

As, the graph touches the at x axis by 3 points.

So, the graph has an even multiplicity at three points as x², (x - a)², and  (x - b)⁴ .

Now, The function has a single zero or factor such as (x - c) in the first equation

So, The function that could represent the graph is the function

f(x) = x²·(x - a)²·(x - b)⁴·(x - c)

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In completing the square method, considering the equation X^2 - 2x +  the number to be added should be 1 to make it a perfect square

The standard quadratic equation is of the form

ax^2 + bx + c

The completing the square method is one of the methods of solving quadratic equations

The factor to be added to the equation while using the completing the square method is of the formula

(b / 2a)^2

compared to the equation in the problem X^2 - 2x +

= (b / 2a)^2

= (2 / 2)^2

= (1)^2

= 1

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If a company’s stock was selling at 35$ a share a month later it was selling at 14$ a share the percentage loss is 60%

The company's initial share price = $35 per share

The company's new share price = $14 per share

Therefore the share price decreased from $35 to $14,  we have to find the percentage loss

The percentage loss = [(The company's initial share price - The company's new share price) / The company's initial share price ] × 100

Substitute the values in the equation

The percentage loss = [(35-14) / 35] × 100

= (21/35)×100

= 0.6 × 100

= 60%

Hence, if a company’s stock was selling at 35$ a share a month later it was selling at 14$ a share the percentage loss is 60%

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The standard form equation for a line passing through the point (-3, 4) and parallel to the line denoted by y = 1/2x+4 is 2y - x = 11.

The standard form equation

ax + by = c

Here a, b, and c are constants and therefore use the slope-intercept form.

y = mx + c ...... (1)

where m is the slope, b = y-intercept

y = 1/2x + 4

Slope (m) = 1/2

It passes through a line that has points (-3,4)

Let's find c by putting the value of x = -3 and y = 4 in equation (1).

4 = 1/2 (-3) + c

4 = -3/2 + c

c = 4 + 3/2

=> c = (8+3)/2

=> c = 11/2

Therefore,

y = 1/2x + 11/2

y = (x+11)/2

=> 2y - x = 11

2y - x = 11 is the standard form of the line that passes through (-3,4) and is parallel to the line represented by y = 1/2x+4.

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The time taken for the rocket to reach its maximum height by virtue of the information given is; 2.25 seconds.

The maximum height reached by the toy rocket is; 88 feet.

It follows from the task content that the maximum height reached by the rocket is to be determined.

The given function is; h (t) = -16 t² + 72t + 7.

Since it follows from evaluation that; at maximum height, the rate of change of height to time is equal to 0.

Therefore; at maximum height;

h'(t) = 0

h'(t) = -32t + 72 = 0

-32t = -72

t = -72/-32

t = 2.25 seconds.

Therefore, the time taken for the rocket to reach its maximum height is; 2.25 seconds.

Also, the maximum height reached by the rocket is at; h (2.25);

h(2.25) = -16(2.25)² + 72 (2.25) + 7

= -81 + 162 + 7

= 88.

The maximum height reached is; 88 feet.

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Solutions for the given equalities:

m < - 2

y > 5

b > -4

What is inequality in mathematics?

An inequality in mathematics is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions. It is most commonly used to compare the sizes of two numbers on a number line.

The given inequalities are

1)              m - 1 < -3

    Adding 3 on both sides, we get

             m - 1 + 3 < -3 + 3

               m + 2 < 0

    Subtracting 2 from both the side, we get

               m + 2 - 2 < 0 - 2

               m < - 2

The graph of this inequality is shown below

2)             -4y < -20

     Dividing by -4, we get

             y > 5

The graph of this inequality is shown below

3)       5 + b > 1

    Subtracting 1 from both the side, we get

           b + 4 > 0

            b > -4

The graph of this inequality is shown below

4)      y = -18

This is a point on a number line, and it can be shown as

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In the graphs given, only graph F has two x - intercepts and a < 0 i.e the graph is facing downwards or opens downwards

The graph of a quadratic function is called a parabola and has a curved shape. One of the main points of a parabola is its vertex. It is the highest or the lowest point on its graph. You can think of like an endpoint of a parabola.

In this question, we have to find the graph of a function f(x) that a < 0 and has two intercepts.

The easy features of this graph are

In the options given, only graph F has such features and it is the answer to the question.

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The number of turns the wheel makes is 1.93 ≈ 2.

What is Turns?

This is referred to as a cycle. It is a unit of plane angle measurement that is equivalent to 2π radians, 360 degrees, or 400 gradians.

formular for calculating Turns:

Turns =         Lenght

              Circumference

Circumference of a circle, C= πD

Where,

Diameter=D

            π =22/7

Calculating Circumference;

C= 22  * 66

            7

    =207.4

From the question:

D= 66cm

L  =400m

Calculating Turns:

Turns =  Lenght

              Circumference

          =   400m

               207.4

      Turns =1.93

Turns =1.93≈ 2

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Step-by-step explanation:

When dealing with transversals, most angles either add to 180 or equal to each other. These angles form a linear pair so they add to 180

[tex](x + 1) + 4x - 36 = 180[/tex]

[tex]5x - 35 = 180[/tex]

[tex]5x = 215[/tex]

[tex]x = 43[/tex]

So

[tex]x + 1 = 43+ 1 = 44[/tex]

[tex]4(43) - 36 = 136[/tex]

Answer:

x + 1 = 44 degrees

4x - 36 = 136 degrees

Step-by-step explanation:

Since the lines are parallel, the angles are same-side-interior angles, which means they are supplementary and add up to 180:

x + 1 + 4x - 36 = 180

5x - 35 = 180

5x = 180 + 35

5x = 215

x = 43

x + 1 = 43 + 1 = 44 degrees

4x - 36 = 4(43) - 36 = 136 degrees

Kevin needs to read 57 novels in 19 months.

Given,

The number of novels Kevin needs to read in a month = 3

N = Number of novels Kevin needs to read in M months.

Write an equation with M and N.

That is,

Kevin needs to read 3 novels in one month.

So, number of novels, N Kevin reads in M months,  3M = N

The equation is;

3M = N

Now,

The number of months Kevin needs to read the novels = 19

Then,

The number of novels Kevin reads in 19 months;

3M = N

3 × 19 = 57

That is,

Kevin needs to read 57 novels in 19 months.

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Answer:

D: x≤-4

Step-by-step explanation:

If its not just reply to me and i will re asses

Answer:

3

Step-by-step explanation:

The total cost of the fabric Jorani bought is 330 dollars.

Jorani buys [tex]8\frac{1}{3}[/tex] bolts of fabrics.  Each bolt has 24m of fabric. The fabric costs $1.65 per metres. The total cost of the fabric can be calculated as follows:

1 bolt = 24 metres

25 / 3 bolt = ?

cross multiply

length of the fabrics = 25  / 3 × 24

length of the fabrics = 600 / 3

length of the fabrics = 200 metres

Therefore,

1 metres = 1.65 dollars

200 metres = ?

cross multiply

cost of the fabric = 200 × 1.65

cost of the fabric = 330 dollars

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Answer:

0.08%

Step-by-step explanation:

f(x) can be written as y

y=6x/8

make x the subject

8y=6x

x= 8y/6

replace y with x and x with f(x)

answer:

f(x)-1 = 8x/6

Answer:

m = -3 ; c = 1

Step-by-step explanation:

y = -3x + 1

y = mx + c

m = -3

c = 1

The positive solution of the given condition is 7.

What is a quadratic equation?

A second-order polynomial equation with a single variable, x, is known as a quadratic equation.

i.e. [tex]ax^{2} +bx+c=0[/tex]

Let '[tex]x[/tex]' be a number, then

The six-times a number= [tex]6x[/tex]

&, the square of a number= [tex]x^{2}[/tex]

Now, according to the question,

or,  [tex]6x = x^{2} -7[/tex]

or, [tex]x^{2} -6x-7=0[/tex]

or, [tex]x^{2} -7x+x-7=0[/tex]

or, [tex]x(x -7)+1(x-7)=0[/tex]

or, [tex](x -7)(x+1)=0[/tex]

Either, [tex](x -7)=0[/tex]            or, [tex](x+1)=0[/tex]

            [tex]x=7[/tex]                            [tex]x=-1[/tex]

Therefore, the positive solution is x = 7.

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In terms of trigonometric ratios, x is 6 sin∅ and y is 6 cos∅.

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others. Circular trigonometric functions are another name for them. The ratios of an angle in a triangle are a straightforward definition of a function. This means that these trig functions provide the relationship between the angles and sides of a triangle.

Given,

Expressing x and y in terms of trigonometric ratios,

Base = 6

x = Opposite

y = Hypotenuse

x = 6 sin∅

y = 6 cos∅

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Using the double-declining-balance method of depreciation, the completion of the table as shown is as follows:

Year Cost   Accumulated   Book Value  Depreciation Accumulated  Book

                   Depreciation        B.O.Y         Expense      Depreciation   Value

                        B.O.Y                                                               E.O.Y       E.O.Y

1    $29,000          $0           $29,000         $11,600            $11,600   $17,400

2   $29,000    $11,600          $17,400          $6,960           $18,560  $10,440

3   $29,000   $18,560          $10,440           $4,176           $22,736   $6,264

What is the double-declining-balance method?

The double-declining-balance method is one of the depreciation methods in use, but it allocates more cost to the earlier years of the asset's life.

This depreciation method uses twice the straight-line rate, which is computed as the product of 100/estimated useful life multiplied by 2.

For each year's depreciation expense, the double rate is applied at the end of the year's balance.

For the last year, the difference between the previous year's ending balance and the residual value is taken as the depreciation expense.

Auto  = $29,000

Estimated useful life = 5 years

Residual = $2,000

Depreciable amount = $27,000 ($29,000 - $2,000)

Straight-line depreciation rate = 20% (100/5)

Double-declining depreciation rate = 40% (20% x 2)

Depreciation Expense:

1st year = $11,600 ($29,000 x 40%)

2nd year = $6,960 ($17,400 x 40%)

3rd year =  $4,176 ($10,440 x 40%)

4th year = $2,506 ($6,264  x 40%)

5th year = $1,758 ($3,758 - $2,000)

Year Cost   Accumulated   Book Value  Depreciation Accumulated  Book

                  Depreciation        B.O.Y         Expense     Depreciation   Value

                        B.O.Y                                                               E.O.Y       E.O.Y

1    $29,000          $0           $29,000         $11,600            $11,600   $17,400

2   $29,000    $11,600          $17,400          $6,960           $18,560  $10,440

3   $29,000   $18,560          $10,440           $4,176           $22,736   $6,264

4   $29,000  $22,736           $6,264          $2,506           $25,242   $3,758

5  $29,000  $25,242            $3,758           $1,758           $27,000  $2,000

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answer: 3

simply add 1 apple from Jeff and 2 apples from Jessica

(1+3) = ?

Thus, the answer is 3 apples all together

The probability that exactly 6 of the selected adults believe in reincarnation is 0.055

This will be a binomial distribution with parameters:

n = 7, p = 0.50

Hence,

a) P (Exactly 6)

= ⁷C₆(0.50)⁶ (0.50)¹

= 0.055

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Answer:

B

Step-by-step explanation:

The domain is the set of x-coordinates.

The range is the set of y-coordinates.

In B, x is only 2 and 3.

In B, y is only 5 and 8.