Explain the error in the equation that is written in standard form.
-4x + 3y = 20

The inequality for the statement:-2/7 is at most the product of a number and -4/5. is --4x/5 ≤ -2/7

Information from the question

the statement: -2/7 is at most the product of a number and -4/5

Inequality is a means of representing the relationship existing between the positive and negative parts of equations, using other terms aside exactly using equal to

at most means the highest value hence the answer is either the number or less.

let the number be x

x * -4/5 ≤ -2/7

--4x/5 ≤ -2/7

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Step-by-step explanation:

Its a simple algebraic expression

Answer:

if it stopped repeating yes , if no , no

Step-by-step explanation:

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The equation of the line passes through (-2, -1) and parallel to y = -1/3x - 5 is y = - 1 / 3 x - 5 / 3

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

The equation of the line passes through (-2, -1) and parallel to y = -1/3x - 5

Therefore, the slope of the line is - 1 / 3.

Parallel lines have the same slopes.

Therefore, let's find the y-intercept using (-2, -1)

y = - 1 / 3 x + b

-1  = - 1 / 3 (-2) + b

b = -1 - 2 / 3

b =  -3 - 2/ 3

b = - 5 / 3

Therefore, the equation is y = - 1 / 3 x - 5 / 3

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Answer:

Step-by-step explanation:

A = 600 x 120 = 72 000 cm^2

Area of a paving stone = 30^2 = 900 cm^2

number of paving stone = 72 000 : 900 = 720 : 9 = 80

Total cost = 2.50 * 80 = £200.00

Answer:

Step-by-step explanation: The number of yellow sweets is 28. Step-by-step explanation: Ratio of red to yellow sweets is 3:7. Total sweet is 40. total ratio is 3 + 7 = 10.

Here, d-1 is the largest possible value of N.

Given info,

For an arbitrary Markov chain on a state space consisting of exactly d states, find (with proof) the largest possible positive integer n such that for some states i,j, we have p(n) ij > 0 but p(n) ij.

We will prove that N ≤ d - 1

In light of this, there are states I and j such that the path from I to j has at least N edges, which implies that the path from I to j has at least d edges.

However, since there are only d states, the distance between any two states can be no greater than d-1. N can't thus be bigger than d-1.

Now, d-1 is the largest possible N because if we take a look at a Markov chain, if I is between 1 and d, we can only move to state 2 and if I is already at state d, we can only move to state d-1. However, if I am already at state 1, we can only move to state 1 and if I am already at state 2, we can only move to state i+1.

This sample contains d-1 edges on the way from state 1 to d. N = d-1 hence holds in this situation.

Therefore, N can have a value as large as d-1.

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The range is (-∞,∞),{y∣y∈R}

The range is the set of all valid y values. Using the graph to find the range.

Interval Notation:  (-∞,∞)

Range: (-∞,∞),{y∣y∈R}

Graph:

In mathematics, a graph is a logical visual representation of any data. The graph shows the relationship between the values of the variables. In graph theory, a group of objects that are related in some way are represented by a graph. In essence, the edges of the objects are representations of the connections between the vertices, or nodes, of the objects. Numerous graph types are employed in mathematics and statistics to visually display data. The field of graph theory is concerned with the study of points and lines. It is a subfield of mathematics with a graph analysis emphasis.

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0.636  is the probability that the ball chosen from urn .

What is probability ?

Urn A contains 2 W, 4 R

Urn B contains 8 W, 4 R

Urn C contains 1 W,  3 R

Probability of selecting 3 balls out of which 2 are white

P(J)=P(WWR)+P(WRW)+P(RWW)

      = 2/6 * 8/12 * 3/4 + 2/6 * 4/12 * 1/4 + 4/6 * 8/12 * 1/4 = 88/288

  Probability that the ball chosen from Urn A was white given that exactly 2 white balls  were selected

  P(A/J) = P(A ∩ J)/P(J)

            = 56/288/88/288

             = 0.636

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Answer:

Total cost for her new boots is $71.74!

Step-by-step explanation:

Answer:   m∡Ɪ  = 41.8 °

___

Step-by-step explanation:

Use the following mnemonic for right triangles:
 SOH  CAH  TOA ;

in which:
sin   =  opposite/ hypotenuse ;

cos  =  adjacent/ hypotenuse ;

tan =  opposite/adjacent ;

___
We shall solve for the unknown " m∡Ɪ " ;
 that is:  "the measure of Angle Ɪ ".

From looking at the image attached:
 Let's take at  ∡Ɪ .

  We see that the opposite side = 6 ; and that the hypotenuse = 9 ;
So, from the mnemonic mentioned ^above.

We use the SOH component:
    sin Ɪ = opposite /adjacent ;

             = 6/9 ;

      which can be reduced:
             " 6/9 =  (6÷3)/(9÷3) = (2/3) ."

So:  sin Ɪ = (2/3) ;

To solve for  Ɪ ;  

  We use a calculator; to take the (arcsin) of Each Side of the equation:

     [(arcsin) sin Ɪ ]  = (arcsin) ( [tex]\frac{2}{3}[/tex] ) ;

 to get:  Ɪ = 41.810314895779 ;
      [Source used:  Web2.0 Online Scientific Calculator].

Now, we shall round this calculated decimal number to the nearest tenth;  that is;  to the nearest single decimal point that appears after the non-decimal value.
    We have: 41.81... ;

So:  41.8 ? Or: 41.9 ?  If the digit in the hundredth place [that is, the next occurring decimal] is "4 or lesser" [i.e. "0, 1, 2, 3, or 4"] ; then we round down.  

  If the digit in the hundredth place [that is, the next occurring decimal] is "5 or greater" [i.e. "5, 6, 7, 8, or 9"] ; then we round down.

   In our case, we have:  "41.81..." ;
 →  As such, we round down to "41.8" .

  The correct answer is  " m∡Ɪ  = 41.8 °

___
I hope this answer and explanation are helpful to you!

  Best wishes!
___

The value of x = 6 cm

The hypotenuse of a right triangle is its longest side. In other words, the hypotenuse is the side opposite the right angle.

Given that

Adjacent side = 12cm

Angle = 26

We must determine the value of x.

Here we have to use the tan ratio to find the value of x.

tan θ = opposite side/adjacent side

tan 26 = x / 12

Now Multiplying both sides by 12, we get

x = 12 tan 26               [tan 35 = 0.7]

x = 12 x 0.5

x = 6

Therefore, the value of x = 6 cm

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Answer:

Step-by-step explanation:

well 56^2 is 56*56, 56*56= 3136

1. 3136x-88x

2. 3048x+88x

The original amount of the bill exists $ 90.

What is the Gratuity amount?

A gratuity exists as a totality of money customarily provided by a customer to specific service sector workers such as hospitality for the service they have executed, in addition to the basic expense of the service.

Gratuity on a restaurant bill = $18 and tip = 20%.

To find the original amount of the bill.

The tip exists directly proportional to the total cost = $ 90

18/(20%)

=(18/(20/100))

=$90

Therefore, the original amount of the bill exists as $ 90.

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Answer:

-330°

Step-by-step explanation:

just gotta trust it i guess

Answer:

2 1/3's

Step-by-step explanation:

1/3 +  1/3 = 2/3

In the given problem, the number of  1/3 is in 7/9, 7/3

Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.

Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.

Given that,

the number 7/9

fraction number 1/3

the number of fraction 7/9 has of 1/3 is,

⇒ 7/9÷1/3

⇒ 7/3

Hence, the result is 7/3

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The range of possible values of X are X>12.5

In mathematics, the range of a function can refer to one of two closely related concepts:

1. The function's codomain

2. The function's image

In mathematics, a function is an expression, rule, or law that explains a relationship between one variable (the independent variable) and another variable (the dependent variable).

A function is a sort of rule that generates a single output for a single input. In mathematics, a function is an expression, rule, or law that explains a relationship between one variable and another variable.  A good example is Y=X². You will only get one output for y if you enter anything for x. We can say that y is a function of X because X represents the input value.

By using Hin-ges theorem,

(4X-10) > 40

4X > 50

X > 12.5

The range of possible values of X are X>12.5

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The cubic polynomial for the given function in question can be written as:  x³ -2x² - 16x+ 32 = 0.

What is polynomial?

All the exponents of an algebraic expression called a polynomial must be whole numbers. Any polynomial must have non-negative integer variable exponents. We cannot divide a polynomial by a variable even though it contains variables and constants.

From the table given, we can see the function f(x) = 0 when, x = -4, 2, 4

It means, x+4 = 0, x-4 = 0, x-2 = 0

Multiplying these equations,

(x+4)(x-4)(x-2) = 0

(x²-4x+4x-16)(x-2) = 0

x³- 16x -2x² + 32 = 0

Therefore the cubic polynomial for the given function is:

x³ -2x² - 16x+ 32 = 0

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Answer:

The least number of deliveries that Ben must make is 14.

Step-by-step explanation:

The vertex of y=|2x+4|+5 is (-2, 5) and Range of the y=|2x+4|+5 is 5≤y<∞

A relation is a function if it has only one y-value for each x-value.

We need to find the vertex and range of y=|2x+4|+5

f(x)=2x+4

f of x is equal to zero

2x+4=0

Subtract 4 from both sides

2x=-4

Divide both sides by 2

x=-2

y=|2x+4|+5

=|2(-2)+4|+5=|-4+4|+5=5

Hence vertex is (-2, 5)

The range of the y=|2x+4|+5 is 5≤y<∞

Hence vertex is (-2, 5) and Range of the y=|2x+4|+5 is 5≤y<∞

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The combination of 6 are total samples (without replacement) of size five can be selected from this population

What is permutation and combination?

           ⁿCr = n!/( n-r)! r!

r = 5

total samples

⁶C₅ = 6!/(6-5)!5!

       = 6!/1!5!

      = 6 * 5!/1*5!

      = 6

Hence, there are 6 ways

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B) m is the independent variable and p is the dependent variable.

Its given in question,

The number of people they will be able to serve depends on the number of meals they prepare. p = the number of people Florence and Anna will be able to serve m = the number of meals Florence and Anna prepare.

Which means people served depends on the meals prepared.

Therefore, p depends on m.

Hence, m is the independent variable and p is the dependent variable.

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Answer:

38

Step-by-step explanation:

the sum of the interior angles of a triangle is 180

2c + 3c -48 +2c -38 = 180  Combine like terms

7c + -86 = 180  Add 86 to both sides

7x = 266  Divide both sides by 7

x = 38

Answer: c = 38

Step-by-step explanation:

      We know that a triangle's angles add up to 180 degrees. We will write an equation and solve it by combining like terms and then using inverse operations.

   Given:

(2c)° + (2c - 38)° + (3c - 48)° = 180°

   Distribute it out:

2c° + 2c° - 38° + 3c° - 48° = 180°

   Combine like terms:

7c° - 86° = 180°

   Add 86 to both sides:

7c° = 266°

   Divide both sides by 7:

c = 38

i) The first term, a is 3 and the common difference, d, is 2

ii) The first term, a is 18 and the common difference, d, is -5

iii) The first term, a is 8 and the common difference, d, is 11

iv) The first term, a is -15 and the common difference, d, is -4

v) The first term, a is 4.5 and the common difference, d, is 0.8

From the question, we are to determine the first terms and the common differences of the arithmetic sequences.

The first term, a, is the first number in the sequence and the common difference, d, is the value of the difference between the second term and the first term.

That is,

Common difference = Second term - First term

i) 3, 5, 7, 9, ...

a = 3

d = 5 - 3

d = 2

ii) 18, 13, 8, 3, ...

a = 18

d = 13 - 18

d = -5

iii) 8, 19, 30, 41, ...

a = 8

d = 19 - 8

d = 11

iv) -15, -19, -23, -27, ...

a = -15

d = -19 - (-15) = -19 + 15

d = -4

v) 4.5, 5.3, 6.1, 6.9, ...

a = 4.5

d = 5.3 - 4.5

d = 0.8

Hence, the first term is 4.5 and the common difference is 0.8

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y = x - 3

slope: 1

y=intercept; (0,-3)

Answer: 12

Step-by-step explanation:  7 1/2 divided by 5/8 equals 12.

Answer:

12

Step-by-step explanation:

7 1/2 = 15/2

15/2 divided by 5/8 = 12

Hope this helps

Answer: 40%

Step-by-step explanation: 2,000 ÷ 5,000 = 0.4 or 40%

Answer: That is a fraction. As an improper fraction, it's 17/6.

Step-by-step explanation:

Answer:

Now, 2 5/6 is a mixed fraction. To convert a mixed fraction to an improper fraction, we have to calculate (2 + 5/6). 2 + 5/6 = (12 + 5) / 6 = 17/6. Hence, 2 5/6 as a fraction is equal to 17/6.

Option (a) is the correct option and the rate of change of the cost per person is 74/1.  

As, we are given the table that the cost per person to buy tickets for an upcoming concert.

Persons                             Cost

    2                                     148

    3                                     222

    4                                     296

    5                                     370

So, the rate of change is,

rate of change = change in cost / change in persons

Rate of change = (222 - 148)/(3 - 2)

= 74/1

= 74

So, 74/1 is the rate of change.

Hence, Option (a) is the correct option and the rate of change of the cost per person is 74/1.  

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