Find the value of X. Find the m

Answer:

A

Step-by-step explanation:

In linear equation, 275 hamburgers were sold on Wednesday​ .

What in mathematics is a linear equation?

Let x = the number of hamburgers sold

Let x - 67 = the number of cheeseburgers sold

x + x - 67 = 483

2x = 483 + 67

2x = 550

x = 275

x = 275 hamburgers

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Answer:

y = [tex]\frac{4}{3}[/tex] x + 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, 4) ← 2 points on the line

m = [tex]\frac{4-0}{0-(-3)}[/tex] = [tex]\frac{4}{0+3}[/tex] = [tex]\frac{4}{3}[/tex]

the line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = [tex]\frac{4}{3}[/tex] x + 4 ← equation of line

Answer:10.75

Step-by-step explanation:

3/4 as a decimal is 0.75. add that to the 10 gives you 10.75

Answer:

The number of books bought in each store would be 4 The amount spent will be the same in either store.

Step-by-step explanation:

Comment

The question has to make the assumption that no matter how many books are bought from store 1, the shipping charge is 8 dollars. Otherwise there is no solution.

Givens

Book1: 10 and  8 dollars total for shipping

Book2: 12 dollars, no shipping costs.

Equation

12x = 10x + 8         Subtract 10x from both sides

Solution

12x - 10x = 10x - 10x + 8      Combine

2x = 8                                   Divide both sides by 2

2x/2 = 8/2

x = 4

Part A: polynomial in Standard form;-

bluef(x) = ax⁴ + bx³ + cx²+ dx + e

Part B: Closure property relates to polynomial;-

The polynomial's closer property for subtraction. When two polynomials of identical degrees with different leading coefficients are subtracted, a polynomial of the same degree is produced.

What is  Polynomial?

A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x.

A.

Any of the following can be the fourth degree polynomial with two terms:

f1(x) = ax⁴ + bx³

f2(x) = ax⁴ + cx²

f3(x) = ax⁴ + dx

f4(x) = ax⁴ + e

a ≠ 0  in all four instances.

Explanation. Because each of the aforementioned polynomials fi(x)-s can be written in the form of f(x) by setting blue0 equal to (c,d,e), (b,d,e), (b,c,e), and (b,c,d), respectively, each of the aforementioned polynomials is in standard form.

B.

The polynomial's closer property for subtraction. When two polynomials of identical degrees with different leading coefficients are subtracted, a polynomial of the same degree is produced.

Example.

Let r(x) be defined as a₁x³ + a₂x² + a₃x + a₄

s(x) is equal to b₁x³ + b₂x² + b₃x + b₄

where a ≠ 0 ≠ b and a ≠ b both belong to a set of real or complex numbers called ai and bi.

If this is how subtraction is defined, then

r(x) - s(x) = [a₁x³ + a₂x² + a₃x + a₄] - [b₁x³ + b₂x² + b₃x + b₄]

r(x) - s(x) = (a₁ - b₁)x³ + (a₂ - b₂)x² + (a₃ - b₃)x + (a₄ - b₄)

Given that (a₁ - b₁) ≠ 0, r(x) - s(x) is similarly a polynomial of fourth degree in this situation.
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The inequality for this graph is:

x<2

The value of x are, x = 9, x = -9.

What is undefined expression?

A mathematical expression that consists of a number of variables and arithmetic operations but has no known solution is referred to as an undefined expression. Any expression that has the symbol ∞ in any part of its expression or that has zero in the denominator is regarded as being undefined.

When the denominator is zero, a rational expression cannot be defined. Set the denominator equal to zero and solve the ensuing equation to get the values that render a rational expression undefined.

So, to find the x - values set denominator equal to zero.

[tex]x^2 - 81 = 0\\x^2 = 81\\x = \sqrt{81}[/tex]

x = ± 9

Therefore, the value of x are, x = 9, x = -9.

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Step-by-step explanation:

when we say "a/b of c", we mean mathematically :

a/b × c

so,

a)

x = 1/5 × 15 = 15/5 = 3

b)

x = 3/4 × 48 = 3×48/4 = 3×12 = 36

Answer:

Step-by-step explanation:

a) 1/5 of 15 = ?

→ 1/5 of 15

→ (1/5) × 15

→ 15/5 = 3

So, answer is 3.

b) 3/4 of 48 = ?

→ 3/4 of 48

→ (3/4) × 48

→ 144/4 = 36

So, answer is 36.

The value of y which the slope formula  is 34.

Slope can be defined as the rate of change of a body.

To calculate the value of y, we use the formula below.

Formula:

Where:

From the question,

Substitute these values into equation 1 and solve for y

Hence, the value of y is 34.

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The dimension of each corral should be 25 feet in width and 33⅓ feet in length so that the enclosed area will be a maximum.

Adjacent rectengular corral has length and width with area formula as below.

A = L × W

Given:

Because the dimension of adjacent rectangular corrals are the same, so:

W = 4x

L = 3y

3y + 4x = 200

[tex]y = \frac{200 - 4x}{3} [/tex]

There are two adjacent rectangular corrals, so:

A = 2×L×W

[tex]A = 2 \times \frac{200 - 4x}{3} \times \: x [/tex]

A = ⅓(400x–8x²)

We can differentiate to get the maximum area:

⅓×(400x–8x²) = 0

400–16x = 0

16x = 400

x = 25 feet

Substitute x value (width) to get y value (length):

y = (200–4(25)) ÷ 3

y = (200–100) ÷ 3

y = 100 ÷ 3

y = 33⅓ feet

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The absolute value of the difference between the first and second numbers is 5.

Here we have to find the difference between the first and the second numbers.

There are three statements.

Let a, b, and c be the first, second, and third numbers respectively.

The first statement is that the sum of the three number is 96.

The second statement is that the first number is 6 times the third number.

a = 6c

The third statement is that the third number is 40 less than the second number.

c = b - 40

b = c + 40

The sum of the three numbers is 96.

a + b + c = 96

6c + c + 40 + c = 96

8c = 96 - 40

8c = 56

c = 7

As a = 6c and b = c + 40

Now put the value of c as 7 we have:

a = 6 × 7

= 42

b = 7 + 40

= 47

Difference between the first and second numbers= 47 - 42

= 5

Therefore the difference is 5.

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Using the exterior angles theorem, the measures of the named angles are:

m∠PQR = 51°

m∠PRQ = 96°

Based on the exterior angles theorem, the measure of the exterior angle of a triangle has an angle degree that is equal to sum of the interior angles of the triangle.

Therefore, the following equation would be set to find the value of x:

33 + 10x + 1 = 17x - 1

34 + 10x = 17x - 1

Combine like terms

34 + 1 = 17x - 10x

35 = 7x

35/7 = 7x/7

5 = x

x = 5

m∠PQR = 10x + 1 = 10(5) + 1 = 51°

m∠PRQ = 180 - (17x - 1) = 180 - (17(5) - 1) = 96°

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Length of the line AB is 1.414 units and midpoint of AB is (3.5,5.5).

Given in the graph,

A(4,6)  and B(3,5)

Distance formula = [tex]\sqrt{(x1-x2)^{2} +(y1-y2)^{2} }[/tex]

                      AB =  [tex]\sqrt{(4-3)^{2} +(6-5)^{2} }[/tex]

                            = [tex]\sqrt{1^{2} +1^{2} }[/tex]

                            = [tex]\sqrt{2}[/tex]

                            = 1.414 units

Midpoint = [tex](\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

Let midpoint of AB be C(x,y)

C = (x,y) = [tex](\frac{4+3}{2},\frac{6+5}{2})[/tex]

             = [tex](\frac{7}{2},\frac{11}{2})[/tex]

             = (3.5,5.5)

Hence, length is 1.414 units and midpoint is (3.5,5.5).

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Using the probability, the expected number of female children in a family with three children is 1.5. The option 2 is correct.

In the given question, we have to find the expected number of female children in a family with three children.

The possibility of having girls in family is 0,1,2 or 3.

From the 8 possible sequences, only one of them give the possibility of 0 girls.

So the probability of 0 girls is 1/8.

There are total 3 ways of having 1 girl.

That is: GBB, BGB, and BBG.

Thus, the probability of 1 girl is 3/8.

Similarly checking for having 2 girls with probability 3/8

Having 3 girls with probability 1/8.

The predicted number of girls is calculated as a weighted average of all potential numbers, where a number's weight is determined by its likelihood of occurring.

The anticipated number of girls is therefore

= 1/8⋅0+3/8⋅1+3/8⋅2+1/8⋅3

= 0+3/8+6/8+3/8

=(3+6+3)/8

=12/8

=1.5

Hence, the expected number of female children in a family with three children is 1.5.

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29 elements are there in total for sets A, B, and C

Since  we are provided the  values of pair-wise intersections which are: |A∩B|=|A∩C|=|B∩C|= 7 and  the  three sets have common is |A∩B∩C| = 2 and individual sets  were having |A|=19 ,|B|=|15 and |C|=14. The formula we are referring to for calculating the  total  elememets altogether is A∪B∪C|=|A|+|B|+|C|−|A∩B|−|A∩C|−|B∩C|+|A∩B∩C|, where |A|,|B|,|C|quantity for individual sets,|A∩B|,|A∩C|,|B∩C| are the intersection subsets in a pairwise, and|A∩B∩C| is the intersection subset for the three sets altogether.

So substituting the  know values in the  above format, we get  

=> |A∪B∪C|= 19+15+14-7-7-7+2

=>|A∪B∪C|=29

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The required value of "b" is 7, where the equation is y = -3x + 7.

As per the given table, we take the two points (9, 1) and (3,7).

y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = -3, y₁ = 16

x₂ = 1, y₂ = 4

y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute the values in the above equation,

y - 16 = [(4 - 16)/(1 - (-3))](x - (-3))

y - 16 = (-12/4)(x+3)

y - 16 = -3(x+3)

y - 16 = -3x - 9

y = -3x - 9 + 16

y = -3x + 7  ....(i)

Compare the given equation y = mx + b with the above equation, and we get

b = 7

Therefore, the required value of "b" is 7.

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Answer:

It line splits the graph of a quadratic equation into two mirror image, or basically means every point on the parabola on one side of the axis will be a mirror image of the other side of the parabola.

np :d

Answer:

-4

Step-by-step explanation:

(-2)^2 + 4(-2) =

= 4 - 8 =

= -4

The value of 150/4 to the nearest tenth is 37.50

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. . In a proper fraction, the numerator is less than the denominator. In improper fraction, the denominator is smaller to the numerator.

The value of 150/4 = 75/2= 37 1/2

1/2 in decimal is 0.5

Therefore 150/4= 37+ 0.5= 37.5

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The number of books bought by the school is 92.

Here it is given that the school spend $925 to buy new books for the library.

The cost of each book is $9.95

So we have to find the number of books that can be bought.

By dividing the total money spent by the cost of each book we get the number of books bought.

Let n be the number of books bought.

n × 9.95 = Total money spend on the books

As we know the total money spend on the books is $925.

So we get:

925 = n × 9.95

n = 925/ 9.95

= 92

Therefore the total number of books bought is 92.

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The average of aa and bb is 740.

The result of adding together and dividing by the total number of numbers or variables is the arithmetic mean, which is also known as the average or average value. In statistics, the arithmetic mean is significant. Central tendency is measured using the arithmetic mean. By giving each observation the same amount of weight, it enables us to determine the frequency distribution's center for a quantitative variable (in contrast to the weighted arithmetic mean).

Given,

Arithmetic mean = 1515

Total number of values = 5

Formula:

Sum/Total = Arithmetic mean

33 + 55 + 77 + aa + bb/ 5 = 1515

165 + aa + bb = 7575

aa + bb = 7575 - 165

aa + bb= 7410

The average of aa and bb is 740.

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Answer:

175

how will convert it in mixes fraction when there is no division number

Answer:

2561.2785

Step-by-step explanation:

All you gotta do is calculate and times 78.93 x 32.45

i gotchu what do u want