Solve four-sixths minus three-fifths equals

The equation that represents the situation is 2(x+17/4+x) = 249/2 where x is the width, the width of the postage stamp is 29 millimeters and its length is 33.25 millimeters.

According to the question,

We have the following information:

The length of a postage stamp is [tex]4\frac{1}{4}[/tex] millimeters longer than its width. The perimeter of the stamp is [tex]124\frac{1}{2}[/tex] millimeters.

Now, let's take the width of the stamp to be x millimeters.

Length of the stamp = x + 17/4

(We have the converted the fractions from the mixed fraction.)

Now, we have the following expression because the stamp is in the shape of a rectangle:

2(length+width) = 249/2

a) 2(x+17/4+x) = 249/2

b) 2(2x+17/4) = 249/2

Dividing by 2 on both sides of the equation:

2x+17/4 = 249/2*2

2x+17/4 = 249/4

Subtracting 17/4 from both sides of the equation:

2x = 249/4 - 17/4

2x = 232/4

Dividing by 2 on both sides:

x = 232/(4*2)

x = 116/4

x = 29 millimeters

c) Length of the stamp = 29+17/4

Length = (116+17)/4

Length = 133/4

Length = 33.25 millimeters

Hence, the equation that represents the situation is 2(x+17/4+x) = 249/2 where x is the width, the width of the postage stamp is 29 millimeters and its length is 33.25 millimeters.

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The standard error of the mean is 11.99

Given,

In the question :

No. of observation is  100

The sample mean is = 1234

Standard Deviation is = 120

To find the standard error of the mean.

Noe, According to the question:

No. of observation:

N = [tex](C_{v}[/tex] / ∈[tex])[/tex] ^2

Where,

∈ = allowance % error of mean

[tex]C_{v}[/tex] = coefficient of variation

[tex]C_{v} =[/tex] σ / x bar × 100

σ = standard deviation and x bar = mean

x bar = 1234 , σ = 120 and N = 100

[tex]C_{v} = \frac{120}{1234}[/tex]  × 100

[tex]C_{v}[/tex] = 9.72%

N = [tex](C_{v}[/tex] / ∈[tex])[/tex] ^2

100 = (9.72/∈)^2

100∈^2 = (9.72)^2

∈^2  = 0.944784

∈ = 0.972%

The standard error of mean = mean x percentage of absolute mean error

= 1234 x 0.972/100

= 11.99

Hence, The standard error of the mean is 11.99

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Answer: 8

Step-by-step explanation:

= (-100) ÷ (200 - (14 + 16) x 5) + 10

= (-100) ÷ (200 - 30 x 5) + 10

= (-100) ÷ (200 - 150) +10

= (-100) ÷ 50 + 10

= -2 + 10

=8

Answer:   8

Step-by-step explanation:    Remember BIDMAS, order of operations (brackets, indices, division, multiplication, addition, subtraction), since we have multiple brackets inside one another we'll start with the most inner brackets and then work from there.

14-(-16) = 30

30 x 5 = 150

200 - 150 = 50

(-100) ÷ 50 = -2

-2 + 10 = 8

The width and length of the rectangle will be 4 units and 8 units, respectively.

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L × W square units

The width of a square shape is 4 units less than the length. The region of the square shape is 32 square units. Then the equations are given below.

W = L - 4               ...1

L × W = 32           ...2

From equations 1 and 2, then we have

L × (L - 4) = 32

L² - 4L = 32

L² - 4L - 32 = 0

L² - 8L + 4L - 32 = 0

L(L - 8) + 4(L - 8) = 0

(L - 8)(L + 4) = 0

L = 8, -4

Then the width of the rectangle is given as,

W = 8 - 4

W = 4 units

The width and length of the rectangular shape will be 4 units and 8 units, separately.

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Answer:

508.94

Step-by-step explanation:

V = 1/3pi(r^2)(h)

plug in the values of r and h

V = 1/3(pi)(9^2)(6)

simplify

V = 508. 9380099

Round to nearest hundredth

V = 508.94

The initial bird population density is 3713.

Given info;

A certain county received a new species of bird 25 years ago. According to biologists, the population doubles every ten years and is currently 21,000 people.

To get the initial size of the bird population;

We use the formula,

[tex]P(t)=Po* 2^\frac{t}{10}[/tex]

Where Po is the initial population and t is the time in years.

[tex]21000= P(25)=Po*2^\frac{25}{10}[/tex]

[tex]21000= Po*2^\frac{5}{2}[/tex]

[tex]21000= 4\sqrt{2}*Po[/tex]

[tex]Po = 21000/4\sqrt{2}[/tex]

[tex]Po = 3712.31\\Po = 3713[/tex]

Hence, the initial size of the bird population is 3713.

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Probability that the second card is an ace, given that the first card is an ace is 1/ 221

Without replacement means drawing the card first but not putting back to the deck and then drawing again.

Total number of cards in a deck = 52

Number of an ace in whole deck = 4

let event of getting an ace in first draw be A

and event of getting an ace in second draw be B

P(A) = 4 / 52 = 1 /13

drawing without replacement

P(B) = 3 / 51 = 1 / 17

Probability that second card is an ace given that first card is an ace is

P(A).P(B) =

1/13 × 1/ 17 = 1 / 221

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JKL with vertices J(1, 3), K(5, 0), and L(7, 4) and its image after the glide reflection with a translation along <0,-3> and areflection in the y-axis is J'(-1, 0), K'(-5, -3), L'(-7, 1).

In the given question we have to graph JKL with vertices J(1, 3), K(5, 0), and L(7, 4) and its image after the glide reflection with a translation along <0,-3> and areflection in the y-axis.

The given vertices are J(1, 3), K(5, 0), and L(7, 4).

Firstly translation along (0,-3).

So translation is (x,y)→(x,y-3)

J'=(1, 3-3)=(1, 0)

K'=(5, 0-3)=(5, -3)

L'=(7, 4-3)=(7, 1)

We have to find the reflection in the y-axis so (x,y)→(-x,y).

Now the points are J'(-1, 0), K'(-5, -3), L'(-7, 1).

The graph of the glide reflection with a translation along <0,-3> and a reflection in the y-axis is given below.

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Answer:

y=-1(-3)+2

Step-by-step explanation:

on my test

The ratio that can be used to find x is sin 21 = x/22.

The trigonometric ratios are the ratios that we can use to obtain the sides and the angles that are in a right angled triangle. The term right angled triangle has to do with a triangle that has one of its angles as 90 degrees.

Now;

Given that;

Sin θ = opposite/hypotenuse

opposite = x

hypotenuse = 22

θ  = 21 degrees

It now follows that to obtain the side x we have to use;

sin 21 = x/22

Hence, in looking for the side x, we have to use sin 21 = x/22

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Answer:

Re-arrange the terms and combine the like terms.

2

3

y

−

1

3

y

−

3

−

4

=

1

3

y

−

7

Step-by-step explanation:

The equation for the rational function will be f(x) = (x² - 16)/(x - 2) and the denominator cannot be zero.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The rational function with an x-intercept at (–4, 0) and (4, 0), a vertical asymptote at x = 2, and an oblique asymptote at y = x + 2.

The rational function has x-2 in the denominator.

The denominator cannot be zero.

The rational function will be:

[tex]y=\dfrac{\left(x^{2}-16\right)}{x-2}[/tex]

Thus, the equation for the rational function will be f(x) = (x² - 16)/(x - 2) and the denominator cannot be zero.

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Answer:

its a

Step-by-step explanation:

Answer:

equilateral acute

Step-by-step explanation:

equilateral-- all the sides have the same length

acute-- all the angles are below 90 degree

Answer:

Step-by-step explanation:

You'r answer should be an equilateral acute.

Answer:

A) $75

B) y = 30x + 15

C) (24, 735) **graph below

D) Yes, there is a proportional relationship

Step-by-step explanation:

We can represent this relationship with an equation.

y = 30x + 15

where x would represent the months and y would be the total cost. The 15 would be the initial fee, which only occurs once.

A) Using the relationship [tex]y = 30x + 15[/tex], we can substitute 2 for x, since that would represent the months.

[tex]y = 30x + 15\\y = 30(2) + 15\\y = 75[/tex]

It would be 75 dollars.

B) The total cost for x months would just be the relationship

[tex]y = 30x + 15[/tex]

C) 2 years would represent 24 months. The screen shot below would represent the relationship. The y axis would be the total cost in dollars and the x axis would be the months. (24, 735)

D) Yes, there is a proportional relationship because as the time (months) progress or increases so does the price (dollars). The graph is linear too, which means it increases.

AB = r AB

This is a dilation of similar triangles dilated by scale factor r.

Option B is the correct answer.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Dilation means the original triangle is resized by the given dilation scale factor.

We multiply the scale factor with the original value.

Here,

AB, DE, and DF are the sides of the triangle.

If a side of the triangle is dilated we must have the same side along with the dilation scale factor r.

Now,

A) AB = r DF

This is not correct.

B) AB = r AB

This is correct.

C) AB = r DE

This is not correct.

D) AB = r EF

This is not correct.

Thus,

AB = r AB

This is a dilation of similar triangles dilated by scale factor r.

Option B is the correct answer.

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Answer:

Rs. 450

Step-by-step explanation:

Selling Price ----- 750

Reduced by 40% therefore 40/100 x 750

=300

750-300= 450

Answer:

$450

Step-by-step explanation:

40 percent *750 =

(40:100)*750 =

(40*750):100 =

30000:100 = 300

750-300=$450

The third graphical representation is that of the function y = 1/2[x] .

The given function is y = 1/2[x] .

This is called the box function or the greatest integer function.

So for the equation of the line y = 1/2 x the graph passes through origin and through the points (2,1) , (4,2) and many more.

Now for the greatest integer function will take all the values of x greater than 1 up to 2 and round it off to 2.

so the points on the graph will be.

(2,1) , (3,1.5) , (4,2)....

This is clearly seen in the third option.

The integer function that returns an integer closest to the given real number is the largest integer function. also referred to as the step function. The greatest integer function rounds the input to the nearest integer. As a result, the equation to get the greatest integer is rather simple. It has the sign x, where x can represent any value.

The letter "x" denotes the biggest integer function for each real function. Real values are rounded to the nearest integer that is smaller than the input value by the function. Another term for this function is the floor function.

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The simplified expression to represent the number of members this year is 1.15m

An expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

From the information, the membership in the volunteers Club increased by 15% from last year. If the number of members last year was m.

The number of members will be:

= Old members+ Increase in members

= m + (15% × m)

= m + 0.15m

= 1.15m

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Answer:

121-129 F is in between

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

The angle 108 is equal to the angle 42 plus the vertical angle to x

108-42 = 66 this is the measurement for the vertical angle to x. Vertical angles are congruent so angle x is 66

Answer: 274.05 dollars

Step-by-step explanation:

9.45 x 5 x 3 = 141.75

9.45 x 7 x 2 = 132.3

141.75 + 132.3 = 274.05

Brainliest by any chance?

Answer:

x = ± 9

Step-by-step explanation:

x² = 81 ( take square root of both sides )

x = ± [tex]\sqrt{81}[/tex] = ± 9

[tex]{ \red{ \boxed{ \pink{ \sf{x = 9}}}}}[/tex]

Step-by-step explanation:

Here, the question is,

[tex]{ \green{ \sf{ {x}^{2} = 81}}}[/tex]

Apply square root on both the sides then,

[tex]{ \green{ \sf{ \cancel { \sqrt{x} }^{ \cancel2}}}} \: = { \green{ \sf{ \sqrt{81}}}} [/tex]

Now,

[tex]{ \green{ \sf{x = \sqrt{81}}}} [/tex]

We got √81 as answer but what is the perfect square number of 81? That is 9. Same number when multiplied twice to get the resultant number makes a perfect square number. i.e. 9×9 = 81. So, the answer is

[tex]{ \green{ \boxed{ \red{ \tt{x = 9}}}}}[/tex]

Using combination formula , total 987 ways or outcomes are possible /involve atleast 8 heads.

We have given that, a coin is tossed 10 times .

total possble outcomes = 2¹⁰ = 1024

here, the chances of occurrence of tail and heads and equal so, this is independent event .

we want to calculate total numbers of possble wats atleast 8 heads occurs .

At least 8 heads means exactly two toss gives Tail as a result.

here we count sequences with exactly 8 heads, and also count sequences with more than three heads. We could compute this by equivalent, by subtracting from 1025 the number of sequences with no head, only one head, and only 2 heads

= 1024 - ⁸C₀ ( + ⁸C₁ + ⁸C₂ )

= 1024 - ( 1+8+28) = 1024 - 37

= 987

Hence , 987 outcomes involve atleast 8 heads.

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8 AM to 3 PM is 7 hours = 420 mins

Find how many rotations:
420 / 36 = 11.66666 rotations

Using ratio

1 rotation : 360 degrees

11.66666 : x degrees

x = 11.66666 / 1 * 360 = 4200 degrees

Answer: 4 reds

Step-by-step explanation:

You invest $892 at the end of each year in an investment with annual rate of return 6%. Then  the investment worth after 15 year will be 14182.8 dollar

we know that

SI = prt

where

SI= simple interest

A= amount

P= principal

r= rate

t= number of year

according to the question

SI= 892* 0.06*1

 = 53.52

 A =  892+53.52

    = 945.52

after 15 years amount will be

A= 945.52*15

  = 14182.8

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The number nickel is 12, and the number dimes are 8 if Jill has 20 coins, consisting of nickels and dimes totaling $1.40.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Jill has 20 coins, consisting of nickels and dimes totaling $1.40.

Let the number of nickels be n, and the number of dimes is 20 - n.

$1 = 10 dimes

$1 = 20 nickels

(1/20)n + (1/10)(20 - n) = 1.40

After solving:

n = 12

The number nickel = 12

The number dimes = 20 - 12 = 8

Thus, the number nickel is 12, and the number dimes are 8 if Jill has 20 coins, consisting of nickels and dimes totalling $1.40.

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The coordinates that represents the position of the library is (0, -8)

Each unit on the grid represents 1 mile

Tia is going from park to library

The coordinates of the park = (5, -5)

First she must go 3 miles to the south, Therefore there will be change in the y coordinates and the x coordinates will be same

New coordinate of the Tia's position = (5, -8)

Then she must go 5 miles west, there will be change in the x coordinates and the y coordinates will be same

New coordinates of the Tia's position = (0, -8)

Hence, the coordinates that represents the position of the library is (0, -8)

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Answer:

Answer D

Step-by-step explanation:

Multiply them all out. D is 4.04

Answer: D is correct I took the test without having to see the answer just wanted to help u out:)

Step-by-step explanation:

The interior angles are 43°, 43° and 94°. and  exterior angle is 86°

Let the interior angles are ∠A, ∠B and ∠C.

From the question, we have

∠A = (5x-12)°

exterior angle = (8x-2)°

As the sides are equal

∠A =∠B = (5x-12)°

∠C = 180°-(8x-2)°

=182°-8x

Sum of interior angles of a triangle is equals to 180 degree.

∠A + ∠B + ∠C = 180°

(5x-12)°+(5x-12)°+182°-8x = 180°

2x+158° = 180°

x = 11°

Interior angles,

∠A =∠B = (5x-12)°

= (5*11-12)°

=43°

∠C =182°-8x

=182°-8*11

=94°

exterior angle = (8x-2)°

=8*11-2

=86°

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

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