Math help????????????

If the population grows by 15 people. The original number of people was 50, hence the new share of each person was Rs. (which is refused).

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."

Let no. of persons = x

Each person get

= 6500/x

If there 15 persons were added more

= 6500/(x + 15)

(6500/x) - 6500/(x + 15) = 30

[tex]\Rightarrow 6500\left[\frac{(\mathrm{x}+15)-(\mathrm{x})}{\mathrm{x}(\mathrm{x}+15)}\right]=30[/tex]

[tex]\Rightarrow 6500\left[\frac{x+15-x}{x^2+15 x}\right]=30[/tex]

[tex]& \Rightarrow 1625\left[\frac{15}{x^2+15 x}\right]=3 \\[/tex]

Then,

[tex]& \Rightarrow \frac{24375}{x^2+15 x}=3 \\[/tex]

Simplifying the above equation,

[tex]& \Rightarrow 3 x^2+45 x=24375 \\[/tex]

[tex]& \Rightarrow 3 x^2+45 x-24375=0 \\[/tex]

[tex]& \Rightarrow x^2+15 n-3250=0 \\[/tex]

[tex]& \Rightarrow x^2+(65 n-50 n)-3250=0 \\[/tex]

Then we get,

[tex]& \Rightarrow x^2+65 n-50 n-3250=0 \\[/tex]

[tex]& \Rightarrow x+65)-50(x+65)=0[/tex]

[tex]\Rightarrow(\mathrm{x}-50)(\mathrm{x}+64)=0[/tex]

x = 50, x = -65

Since the number of people cannot be zero,

the number of people is 50.

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Answer:

38°

Step-by-step explanation:

We have supplementary angles, which mean they add up to 180°, so we can simply solve for x° by doing 180°-142°=38°

Answer:

X=38 degrees

Step-by-step explanation:

A straight line is 180 degrees so to find the missing part you can do 180-142.

That way you get the missing angle measurement.

Therefore the product of two conjugates is a difference of two squares.

When two binomials have the same terms but different arithmetic operators in the center of these related words, they are said to be conjugate. For instance, the conjugate of p + q is p - q.

An integer known as a binomial number is produced by evaluating a homogeneous polynomial with two terms, also known as a binomial.

This statement is true.

The conjugates of a complex number are two complex numbers that differ only in their signs. They are of the form a + bi and a - bi.

When two conjugates are multiplied, the product is (a + bi)(a - bi) = a^2 + (bi)^2 = a^2 - b^2 + (2abi) = (a^2 - b^2) + (2ab)i.

which is in the form (a^2 - b^2) + (2ab)i = (a^2 - b^2) + (2ab)i = (a+b)(a-b)

So the product of two conjugates is a difference of two squares.

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Pat needs 16[tex]\sqrt{1200}[/tex]cm of trim for each placemat to braid trim around the edges.

To find out how much trim Pat needs for each placemat, we need to first find the perimeter of the rectangle.

The area of the rectangle is given as 1200 [tex]cm^2[/tex].

The perimeter of the rectangle is the sum of all four sides of the rectangle. If the length and breadth of the rectangle are L and B respectively, then the perimeter P can be calculated using the formula:

P = 2(L+B)

Now, let's find the length and breadth of the rectangle using the area formula,

Area = LB = 1200 [tex]cm^2[/tex]

so LB = 1200 [tex]cm^2[/tex]

Now we can substitute the value of L and B in the perimeter formula

P = 2(L+B) = 2(sqrt(1200)+sqrt(1200))

As the area of the rectangle is given as 1200[tex]cm^2[/tex] , the length and breadth can be calculated as [tex]\sqrt{1200}[/tex]cm.

So the perimeter of the rectangle is

P = 2*([tex]\sqrt{1200}[/tex] + [tex]\sqrt{1200}[/tex])

  = 2*2[tex]\sqrt{1200}[/tex]

  = 4[tex]\sqrt{1200}[/tex]cm

To find the total length of trim Pat needs for the placemat, we need to multiply the perimeter by the number of edges that need a trim. Since the edges are around the rectangular placemat, so it will be 4 edges.

So, the total length of trim Pat needs for the placemat is

P4 = 4[tex]\sqrt{1200}[/tex]*4 = 16[tex]\sqrt{1200}[/tex]cm

So Pat needs 16[tex]\sqrt{1200}[/tex]cm of trim for each placemat.

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The value 'k' for which '4x^2 + 8xy + ky^2 = 9' is the second degree equation of a pair of straight lines is 4.

Therefore the answer is 4.

A general second-degree equation of a pair of straight lines is given by:

ax² + 2hxy + by² + 2gx + 2fy + c = 0

Where a, b, c, d, e, and f are constants, x and y are variables.

For the equation to represent a pair of straight lines, the following conditions must be met :

abc + 2fgh - af² - bg² - ch² = 0

In the equation 4x^2 + 8xy + ky^2 = 9, a = 4, h = 4, b = k, g = f = 0 and c = -9.

That is 4×k×(-9) + 2×0×0×4 - 4×0² - k×0² + 9×4² = 0

4×k×9 = 9×4²

k = 4

--The question is incomplete, complete question is given below--

"For what value of k is 4x^2 + 8xy + ky^2 = 9 the equation of a pair of straight lines?"

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The Correct answer is option (C) x = 16. Y = 22 . number of new-release movies on DVD is 16 and the number of classic movies on DVD is 22 .

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.

Given,

To find the values of X and Y,

Let x = number of new releases

Let y = number of classics.

The equation to solve the question is ,

20x + 8y = 500

When x= 16 and y = 22

= 20x + 8y

= 20(16) + 8(22)

= 320 + 176

= 496

Therefore, the number of new-release movies on DVD is 16 and the number of classic movies on DVD is  x= 16, y = 22

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The option that is not true about cluster sampling is option  A: Cluster sampling has the advantage of reducing sampling variability.

Cluster sampling often leads to larger sampling variability than other types of sampling methods, such as simple random sampling or stratified sampling, because clusters may not be a representative sample of the population and the individuals within a cluster may be more similar to each other than to individuals in other clusters.

Therefore, This increases the chance that the sample will not be representative of the population, which can result in a higher level of sampling error.

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Answer:

55

Step-by-step explanation:

Hope it helps! :D

Answer:

(-1, 1), (-1, 4), and (1, 4) are the vertices of a right triangle.

Step-by-step explanation:

If you were to graph these three points on a coordinate plane, you'll notice that two of the sides form a right angle together, which means this triangle will be a right triangle. If you're looking for something more specific, it would be a right scalene triangle, where all sides are different in a right triangle.

Answer: see below...

Step-by-step explanation:

a)

48 = 30%

100/30 = 10/3

48 x (10/3) = 160

$160 = 100%

b)

160 - 48 = $112

The coefficient of the variable x² in the expression 3x+5 is 0

Given that,

The expression is 3x+5

To find : The coefficient of the variable x² in the expression

Coefficient is the number that is beside the variable in the equation.

The coefficient of x in 3x+5  is 0

A number multiplied by a variable is referred to as the coefficient of a number. For instance, the x2 coefficient in the formula 6x2+99 is 6

As we can see that the term that is in multiplication with x²  is 3.

Hence, the coefficient of x²  in the equation 3x+5  is 0.

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As per the graph, there is no restrictions for the domain but the range has a minimum value at y = - 4.

The domain is any real number:

The range is any real number not less than - 4:

Answer:

x < -18/5

this is the answer of you problem

Answer:

2 x 5 = 10, 10 x 2 = 20

4 x 2 = 8, 8 x 2 = 16

5 x 4 = 20, 20 x 2 = 40

40 + 20 + 16 = 76 yd^2 is your answer.

Answer: 76 yds

your welcome :)))))))))))))))))

Answer:

step 3 it is

.. . . . . . . . . . .. . . . .. .

Answer: To find an equation of the line that passes through the point (-5,-6) and is parallel to the line 4x−5y=35, we can use the fact that two lines are parallel if and only if they have the same slope.

The slope of the line 4x−5y=35 is -4/5. Therefore, we can find an equation of the line that passes through (-5,-6) and is parallel to 4x−5y=35 by using the slope-intercept form of a linear equation, y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).

Substituting the values into the slope-intercept form, we get:

y = (-4/5)x + b

To find the value of b, we can substitute the coordinates of the point (-5,-6) into the equation:

-6 = (-4/5)(-5) + b

-6 = 8/5 + b

-6 - 8/5 = b

-24/5 = b

Therefore, the equation of the line that passes through the point (-5,-6) and is parallel to the line 4x−5y=35 is:

y = (-4/5)x - 24/5

This can also be written as:

y = -4/5x - 24/5

Step-by-step explanation:

Answer:it’s 5.36

Step-by-step explanation:

The algebraic expression to show Jill's age will be;

Jill = 1/3 x b

Algebraic expressions are the mathematical statements that are derived when operations such as addition, subtraction, multiplication, division, etc. are operated upon on variables and constants.

There are different parts of an algebraic expression and they are; Variables - a symbol that doesn't have a fixed value is called a variable. It can take any value assigned to it.

Constants - a symbol that has a fixed numerical value is called a constant. All numbers are constants.

Terms - A term is a variable alone (or) a constant alone (or) it can be a combination of variables and constants and the operation of multiplication or division with it.

Coefficients - the numbers that are multiplying the variables are called coefficients.

Beth's age = b

Jill's age = 1/3 of Beth's age

Jill's age = 1/3 x b

Jill's age = 1/3b

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Answer: 9 2/3

Step-by-step explanation:

you take 29 and divide by 13 to get 2.23076923077 and you then take that times the 4 1/3 to get 9 2/3

Answer:

Step-by-step explanation:

13(X-4 1/3)=29

13X-56.3=29

     +56.3 = +56.3

13X=85.3

X=6.56

Answer:

8 times larger than the original

Step-by-step explanation:

In any three dimensional object,  cube sphere, cone, etc., if all of its dimensions increase by a factor of x then its volume increases by a factor of x³

In this case the dimensions double, so the volume increases by a factor of 2³ = 8

Answer:

66

Step-by-step explanation:

Replace t with 9 in the equation.

[tex]28(1.1)^9[/tex]

Simplify.

[tex]28(2.358)[/tex]

[tex]66.023[/tex]

Rounded, it equals 66

Answer:

2 pounds of cheese

Step-by-step explanation:

First, we have to find out how much did she pay by taking

$5.00 - $1.40 = $3.60

So, she paid $3.60 in total. Then we find how many pounds of cheese she bought by taking

3.60 / 1.80 = 2 pounds of cheese

So, she bought 2 pounds of cheese.

If Dawson says that the expression [tex](2\frac{4}{10}+8\frac{4}{5})-3\frac{1}{5}[/tex] is equal to a whole number , then we can say that Dawson is correct .

The Mixed fraction expression is given as : [tex](2\frac{4}{10}+8\frac{4}{5})-3\frac{1}{5}[/tex] ;

first , we need to convert the mixed fraction in to simpler fractions ,

On converting ,

we get ;

the expression as : [tex](\frac{24}{10}+\frac{44}{5})-\frac{16}{5}[/tex] ;

taking the LCM of 10 and 5 as 50 ,

we get ;

⇒ [tex](\frac{24}{10}+\frac{88}{10})-\frac{16}{5}[/tex]

⇒ [tex](\frac{112}{10})-\frac{16}{5}[/tex]

Simplifying further ,

we have ;

⇒ [tex](\frac{112}{10})-\frac{32}{10}[/tex] ,

⇒ [tex]\frac{80}{10}[/tex]

= 8 , which is a whole number .

Therefore , we can agree with Dawson's statement that the expression [tex](2\frac{4}{10}+8\frac{4}{5})-3\frac{1}{5}[/tex] equals to a whole number "8" .

The given question is incomplete , the complete question is

Dawson says that the expression ([tex]2\frac{4}{10}[/tex] + [tex]8\frac{4}{5}[/tex]) - [tex]3\frac{1}{5}[/tex] is equal to a whole number .  Do you agree ? Explain .

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Answer:

area of rectangle = length× width

Step-by-step explanatio

a) The number of traders who sell only one fruit is given as follows: 88.

b) The number of traders who sell only two fruits is given as follows: 9.

The amounts are obtained using Venn sets in the context of this problem.

The sets are given as follows:

10 sell all three fruits, hence:

A ∩ B ∩ C = 10.

15 vendors sell apples and mangoes, hence:

(A ∩ C) + (A ∩ B ∩ C) = 15

(A ∩ C) = 5.

14 vendors sell apples and oranges, hence:

(A ∩ B) + (A ∩ B ∩ C) = 14

(A ∩ B) = 4.

Hence the number who sell two of them is of:

(A ∩ B) + (A ∩ C)  = 4 + 5 = 9.

50 vendors sell mangoes, hence:

C + (A ∩ C) + (A ∩ B ∩ C) = 50

C = 35.

46 vendors sell oranges, hence:

B + (A ∩ B) + (A ∩ B ∩ C) = 46

B = 32.

40 vendors sell apples, hence:

A + (A ∩ B) + (A ∩ C) + (A ∩ B ∩ C) = 40.

A + 9 + 10 = 40

A = 21.

Hence the number of vendors who sell only one fruit is given as follows:

A + B + C = 21 + 32 + 35 = 88.

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Answer:

B

Step-by-step explanation:

The answer is 0, trust me

Answer:

2

Step-by-step explanation:

y2 - y1 / x2 - x1

11 - 3 / 2 - (-2)

8 / 4

= 2