A data set includes the following numbers: eighteen over 5, two and four fifths, 97%, and 1.74.

Part A: What is the order of the numbers from least to greatest? Write your answer using the numbers in their original form.

Part B: Did you use estimation or rewrite the numbers in equivalent forms? Please explain your answer.

Answer quick please I appreciate it.

Using the Law of Detachment, the conclusions are given as follows:

6. No conclusion.

7. ∠AOB and ∠ DOB share one common angle.

The Law of Detachment is a logic axiom which states that if a conditional and the hypothesis of a statement are true, then the conclusion of the statement is also true.

Supposing a conditional statement p -> q, we have that the hypothesis and the conclusion are defined as follows:

For item 6, we have that the statements are given as follows:

We have that p->q and q are true, hence no conclusion can be reached from the law of detachment.

For item 7, we have that the statements are given as follows:

In this case, we have the hypothesis is true, hence the conclusion is that ∠AOB and ∠ DOB share one common angle.

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Answer: [tex]y=12.50x[/tex]

Step-by-step explanation:

Let the number of hours be x and the total earnings in dollars be y. Since the total amount of money earned is the number of hours times the amount earned per hour, the equation is [tex]y=12.50x[/tex].

Answer:

Step-by-step explanation:

Answer:

a maximum of 1,738 empty seats

Step-by-step explanation:

5,738 - 4,000 = 1,738

Answer:

D 75 and 125

Step-by-step explanation:

cünkü en büyük ortak böleni 25 dir

prove me wrong

Answer:

No, because any number than produces and decimal that continuse forever is not rational.

Step-by-step explanation:

Hope it helps! =D

Answer: 15 equals the sum of 3 + 6 x 2

Step-by-step explanation: 6x2 is 12 and if you add 3 it is equal to 15, but it is better if you rewrote the equation as 3 + (6x2), that way it is more understandable

The number of calories in stalk of celerystalk and carrot is found as 20 and 7 respectively.

For the given question;

Let the number of calories present in carrot is 'x'.

Let the number of calorie present in celerystalk is 'y'.

Carrot has 13 more calories than celerystalk.

Thus,

x = y + 13   ......eq 1

Now, 5 carrots and 10 celery stalks have total 170 calories.

The equation becomes.

5x + 10y = 170

Substitute the value of x from eq 1.

5(y + 13) + 10y = 170

Simplify the equation;

5y + 65 + 10y = 170

15y = 105

y = 7 (number of calories in stalk of celerystalk)

Put the value of y in eq 1.

x = y + 13

x = 7 + 13  

x = 20 (number of calories in stalk of carrot)

Thus, the number of calories in stalk of celerystalk and carrot is found as 20 and 7 respectively.

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i'm going to assume (3,1)(3,1) was a typo.

here is an equation for a line with a slope of (-4/3) that crosses through (3,1)

y = -4/3x + 5;

steps;

1 = -4/3(3)+ b

1 = -4 +b

5 = b

Answer:i'm going to assume (3,1)(3,1) was a typo.

here is an equation for a line with a slope of (-4/3) that crosses through (3,1)

y = -4/3x + 5;

steps;

1 = -4/3(3)+ b

1 = -4 +b

5 = b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Así que tienes que multiplicar 8x9x16 y dividir por 2 y luego multiplicar por 4 PUEDE ESTAR EQUIVOCADO ASÍ QUE TEN CUIDADO

Answer:

c

Step-by-step explanation:

[tex]a) (1/6)^{-8}=6^8>1 \\ \\ b) (5^{-4})^{-9}=5^{36}>0 \\ \\ c) 2^{-3}=1/8<1 \\ \\ (d) \frac{6^{-4}}{6^{-5}}=6>1[/tex]

The solution for x in the given expression (7 = 3x/9) is: C. 21.

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In this exercise, you're required to describe the steps that should be taken to rearrange and solve for x. Therefore, the appropriate and required steps are listed as follows:

Multiplying both sides by 9, we have:

9 × 7 = 3x/9 × 9

63 = 3x

Dividing both sides by 3, we have:

3x/3 = 63/3

x = 21.

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The numerical value of x in the two congruent alternate exterior angles is 20.

Alternate exterior angle theorem states that "if a transversal intersects two parallel lines, the alternate angle s formed are congruent.

From the diagram, the two angles forms an alternate exterior angle , the two angles are congruent.

( 5x - 8 ) = ( 3x + 32 )

Solve for x

5x - 8 = 3x + 32

Collect like terms by moving all terms containing variable x to left and the constant terms to the right side of the equation.

5x - 8 = 3x + 32

5x - 3x = 32 + 8

2x = 40

Divide both sides by 2

2x/2 = 40/2

x = 40/2

x = 20

Therefore, the numerical value of x is 20.

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{ } pls i right,or u can help me out

Answer:

1075

Step-by-step explanation:

4300x0.25

The perimeter of the semi-circle is 59.1 cm

In this question, we have been given the diameter if the semi-circle

d = 23 cm

We need to find the perimeter of the semi-circle.

We know that, the perimeter of the semi-circle of radius 'r' is P = πr + 2r

For diameter d = 23 cm, the radius would be,

r = 11.5 cm

So, the perimeter would be,

P = πr + 2r

P = π × 11.5 + 2 × 11.5

P = (π + 2) × 11.5

P = 59.13 cm

Therefore, the perimeter of the semi-circle is 59.1 cm

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Answer:

A

Step-by-step explanation:

mark me brainliest

Answer:

C

Step-by-step explanation:

[tex]\sqrt{2}[/tex] and [tex]\frac{1}{\sqrt{2}}[/tex] are both irrational, but they multiply to 1, which is rational

The step 3y = 80v + x is incorrect, as 3y = 80v - x is the correct step by subtraction property of equality.

In this question, we have been given Taylor is solving a literal equation (x + 3y) / 2 = 40v

We have been given her steps that she used to solve for y.

We need to find an error in the steps.

First we solve given literal equation for y.

(x + 3y) / 2 = 40v

x + 3y = 40v × 2                     .................(Multiply both the sides by 2)

x + 3y = 80v

x + 3y - x = 80v - x                 ...................(Subtract x from both the sides)

3y = 80v - x

y = (80v - x)/3                          ............(Divide each side by 3)

If we observe Taylor's steps, we can see that there's an error in the step 3y = 80v + x.

Therefore, the step 3y = 80v + x is incorrect, as 3y = 80v - x is the correct step by subtraction property of equality.

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Using a proportional relationship, the table relating the number of guests and number of tables is given by the image at the end of the answer.

A proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality represented by k, according to the equation below:

y = kx.

In the context of the problem, the variables are given as follows:

He'll have 4 tables for every 20 guests, hence the constant is given as follows:

k = 4/20 = 1/5 = 0.2.

Hence the relation is:

y = 0.2x.

For 1 table, the number of guests is:

0.2x = 1 -> x = 5.

For 8 tables, the number of guests is:

0.2x = 8 -> x = 8/0.2 = 40.

For 35 guests, the number of tables is:

y = 0.2 x 35 = 7.

For 50 guests, the number of tables is:

y = 0.2 x 50 = 10.

The table with these measures is given by the image at the end of the answer.

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The function table should be completed as follows:

x                h(x)__

-4               -8

-3               -5

2                 10

4                 16

5                 19

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable to an output variable.

Next, we would evaluate the given function by substituting the value of x as follows:

When x = -4, we have:

Function, h(x) = 3x + 4

Function, h(-4) = 3(-4) + 4

Function, h(-4) = -12 + 4

Function, h(-4) = -8

When x = -3, we have:

Function, h(x) = 3x + 4

Function, h(-3) = 3(-3) + 4

Function, h(-3) = -9 + 4

Function, h(-3) = -5

When x = 2, we have:

Function, h(x) = 3x + 4

Function, h(2) = 3(2) + 4

Function, h(2) = 6 + 4

Function, h(2) = 10

When x = 4, we have:

Function, h(x) = 3x + 4

Function, h(4) = 3(4) + 4

Function, h(4) = 12 + 4

Function, h(4) = 16

When x = 5, we have:

Function, h(x) = 3x + 4

Function, h(5) = 3(5) + 4

Function, h(5) = 15 + 4

Function, h(4) = 19

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Value of x is 2 and value of k is 0.999.

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed mathematically using imperial or SI-derived units. Volume and the notion of length are connected.

Given Data

At t=0, Water Volume is 3,000 Litres

The volume of water in the tank equals t hours later.

As it is also stated, there is x% less water in the tank at the conclusion of every hour than there was at the beginning.

After an hour, the amount of water is equal to 3,000 - = 3,000 - 30 x

Water consumption after two hours = (3,000 - 30 x) - (3,000 - 30 x)

×= (3,000 - 30 x) (3,000 - 30 x)

Also,

= 288120

⇒300000 - 3000 x - 3000 x + 30 x²

= 288120

⇒ 30 x ² - 6,000 x + 11880= 0

When we multiply both sides by 30, we get

⇒ x² - 200 x + 396=0

reducing the quadratic equation to factors

(x -198)(x-2) = 0

x = 198,

x = 2

Which suggests that x = 2 might be the answer to this equation.

Also,

V₁ = 3000- 30(2)

V₁ = 3000 - 60

V₁ = 2940

k = [tex]\frac{2940}{3000}[/tex]

k = 0.999(approximately)

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The exact solution and its approximation rounded to two decimal places are 2. 6213 and 2. 62 respectively.

An algebraic expression can be described as a mathematical or arithmetic expressions that is composed of arithmetic terms, factors, constants, variables, and coefficients.

These expressions are also made up of arithmetic operations which includes;

From the information given, we have that;

(2x − 1)^2 = 18

Find the square root of both sides, we have;

√(2x − 1)^2 = √18

Note that square root rules out the square, we have;

2x - 1 = 4. 24264

collect like terms

2x = 4. 24264 + 1

2x = 5. 24264

Make 'x' the subject

x = 5. 24264/2

x = 2. 6213

Hence, the value is 2. 6213

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The solutions of the quadratic equation x² - 6x +9=11 is found to be            x = [tex]\sqrt{11} + 3[/tex] or   [tex]\sqrt{11}-3[/tex]. So, Option B and D are correct.

A quadratic equation is ax² + bx + c = 0 .  Another name for the terms a, b, and c is quadratic coefficients.

The values of the unknown variable x that fulfill the quadratic equation are the solutions to the problem. Quadratic equations' roots are known as these solutions.

Given equation:  x² - 6x +9=11

Subtract 11 on both sides

x² - 6x +9 +(-11) =11 - 11

x² - 6x - 2 = 0

Solving using the quadratic formula,

x = [tex]\frac{-b + \sqrt{b^{2}-4ac } }{2a}[/tex] or [tex]\frac{-b - \sqrt{b^{2}-4ac } }{2a}[/tex]

x = [tex]\frac{6 + \sqrt{-6^{2}-4(-2) } }{2}[/tex]  or  [tex]\frac{6 - \sqrt{-6^{2}-4(-2) } }{2}[/tex]

x = [tex]\sqrt{11} + 3[/tex] or   [tex]\sqrt{11}-3[/tex]

Therefore, the solutions of the quadratic equation x² - 6x +9=11 is found to be x = [tex]\sqrt{11} + 3[/tex] or   [tex]\sqrt{11}-3[/tex]. So, Option B and D are correct.

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18 inches=  1 1/2 feet= 1.5 feet

18 inches = 1.5 feet

what is distance ?

Distance is a numerical or occasionally qualitative measurement of how far apart objects or point are . it is a total movement of an object without any regard to direction.

(1) Now we make a proportion to find feet for given inches

   feet/inches = feet / inches

   1.5/18 = x/36

   1.5 * 36 = 18*x

   54 = 18 x (Divide by 18 on both sides)

    x = 3

    3 feet long is a 36 inch board

 (2) 72 inch board

      1.5 * 72 = 18*x

      108 = 18 x (Divide by 18 on both sides)

       x = 6

      6 feet long is a 72 inch board

(3) 144 inch board

     1.5 * 144 = 18*x

     216 = 18 x (Divide by 18 on both sides)

      x = 12

      12 feet long is a 144 inch board

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144 is  the largest angle in  supplementary angle .

What is an example of a supplementary angle?

Let one angle = x

then other angle is four times the other = 4x

 x + 4x = 180

   5x = 180

     x = 180/5

     x = 36

smaller angle = 36

largest angle = 4x = 4 * 36 = 144

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Answer:

1) 180°-105°-29°

=46° (angles in ∆)

2) 180-78-55

180-78-55 =47° (angle ²)

then angle ¹ is

180-78-47

=55° (angles on a straight line)

3) I just realised I solved angle 2 so I'll make the answer bold for you :)

I hope this is correct lol