Find the value of x.
x = [?]​

Answer:

[tex]x= 1 +5\sqrt 2,~~ x=1-5\sqrt 2[/tex]

Step-by-step explanation:

[tex]~~~~~~(x-1)^2 = 50\\\\\implies x -1 = \pm\sqrt{50}\\\\\implies x = \pm\sqrt{25 \times 2} +1\\\\\implies x= 1 \pm 5\sqrt 2[/tex]

The equation that can be paired with x + 2y = 5 to create an inconsistent system is given by:

2x + 4y = 3.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

An inconsistent system is a system that has no solutions, and it happens when the coefficients of x and y are multiples, and the independent terms are not.

Hence:

x + 2y = 5.

2x + 4y = 3.

Is inconsistent, as the variables are each multiplied by 2, but the independent term is not.

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Answer:

A

Step-by-step explanation:

Edge.

Answer:

The answer is your opinion.

Step-by-step explanation:

Answer:

67.5 cm^2

Step-by-step explanation:

we know the length and width of the rectangle and the triangle in the compound shape.

The area of the rectangle is 10 times 5 = 50

the area of the triangle is

17-10 = 7

7 times 5 is 35

35/2 = 17.5

50 plus 17.5 = 67.5 cm^2

Answer: 67.5

Step-by-step explanation:  Since this is a irregular shape, you have to split the two shapes.  The rectangles area is 50, and the triangles is 17.5.

To find the area of a triangle multiply 1/2 × base × height

To find the area of a rectangle multiply base × height

Answer:

  20

Step-by-step explanation:

The proceeds from the sale can be described by an equation involving the original number of computers.

__

Let n represent the number of computers the school originally had. Then n-5 is "all but 5" and is the number sold. Each is sold for ₹1200, and the value of the sale is ₹18000. This can be expressed by the equation ...

  (n -5)×1200 = 18000

__

This 2-step linear equation can be solved by dividing by the coefficient, and adding the opposite of the constant.

  n -5 = 18000/1200 = 15 . . . . . divide by 1200

  n = 15 +5 = 20 . . . . . . . . . . add the opposite of -5

The school originally had 20 computers.

Answer:

r - 3

Step-by-step explanation:

Hi student, let me help you out! :)

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

We are asked to write the verbal phrase "r decreased by 3" as an algebraic expression.

[tex]\triangle~\fbox{\bf{KEY:}}\star[/tex]

Here we decrease the variable "r" by 3.

Remember, variables always represent some number.

Let's think about it this way...

///\\\////\\\\////\\\///\\\///\\\///\\\///\\\///\\///\\///\\///\\///\//\\///\\\///\\\///\\\///\\///\\\///\

So we have a number r, and we decrease it by 3.

Now its value is less than the original value.

We subtracted 3 from the original value of r, and now its value is less than the original one.

Thus, "decreased by" is the same as "subtracted" in mathematics.

r decreased by 3 ⇒ [tex]\star\large\pmb{r-3}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

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Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The total gain for your investment in ravioli den is $700.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The cost of a single share was $45, while the number of shares where 100, therefore, the total cost of purchasing shares is:

Total Cost = $45×100 = $4,500

The selling price of a single share is $52, while the number of shares is the same, therefore, the total selling price is,

Total Selling Price = $52×100 = $5,200

The total gain for your investment in ravioli den is the difference between  Total cost and total selling price. Therefore,

The total gain = $5,200 - $4,500 = $700

Hence, The total gain for your investment in ravioli den is $700.

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Based on the information given about the Angley marathon, Joe can summarize the message as "Run the Angley marathon for free if A ≥ £850"

Raise at least £850 and run the Angley marathon for free

let

Joe can summarize the message like this:

Run the Angley marathon for free if A ≥ £850

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Answer:

a = 120°

b = 60°

Step-by-step explanation:

Angle a and 60° are suplementary. The sum of supplementary angles is 180° (straight angle).

a + 60° = 180°

a = 180° - 60°

a = 120°

The sum of angles in the quadrilateral is 360°. Notice how two of the angles in the quadrilateral are marked as right angles (angles marked with a square). Each of them is 90°.

b + 90° + a + 90° = 360°

Substitute a with the value calculated in the previous step.

b + 90° + 120° + 90° = 360°

Solve for b.

b + 300° = 360°

b = 60°

Answer:

288

Step-by-step explanation:

area of the base times the height. base is 6*6=36. Then 36*8 is 288

The equation that's illustrated simply depicts an investment as it shows the principal, and interest rate.

It should be noted that an investment simply means a dedication of an asset in order to increase the value over a period of time.

In this case, the equation that's illustrated simply depicts an investment as it shows the principal, and interest rate. To calculate the investment, the time, amount and rate will be considered.

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The person who thinks the event is more likely is Layne. This is because she has a higher probability value than Abdul.

Probability determines the chances that an event would happen. The probability the event occurs with certainty is 1 and the probability that the event would not occur with certainty is 0. The closer the event is to 1, the more likely the event would happen

Layne's probability that the event would happen = 75%

Abdul's probability that the event would happen = 3/5 x 100 = 60%

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Using the normal distribution, it is found that 1851 people would have an IQ less than 115.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 100, \sigma = 15[/tex]

The proportion of IQ scores less than 115 is the p-value of Z when X = 115, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{115 - 100}{15}[/tex]

Z = 1

Z = 1 has a p-value of 0.8413.

Out of 2200 people:

0.8413 x 2200 = 1851.

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Answer:

1851

Step-by-step explanation:

if its a whole number than its 1851

The translation of the function y = 2(x - 15)² to y = 2(x - 11)² + 3 is; 4 units to the left.

We are given the graph function;

y = 2(x - 15)²

Now, the function above was translated to get;

y = 2(x - 11)² + 3

Now, when we translate a graph to the right, we subtract from the x-value, but if we move the graph to the left, we subtract from the x-value. Thus;

The translation was 4 units to the left.

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Answer:

which first pagee???There is no any first page????

Answer:

this can not be solved by X cause the equation is not equal to anything

Step-by-step explanation:

For the trapezoid to be proven to be an isosceles trapezoid, the additional information needed is: A. DE ≅ GF

An isosceles trapezoid is a type of trapezoid whose opposite non-parallel sides have the same side length and base angles that are congruent.

In essence, for trapezoid DEFG to be proven to be an isosceles trapezoid, DE must be congruent to GF.

The additional information needed is therefore: A. DE ≅ GF

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Answer:

E      

Step-by-step explanation:

19)        Amount of oil in   =    amount of oil in final product

       .025(x) + .09(40-x)    =    .055(40)      (x = 2.5% amt   40 - x = 9% amt)

  x = 21.54 L  of   2.5 %     then 9% = 18.46 L

Answer:

2

Step-by-step explanation:

Mrs. Nygaard need 2 hours to work over the weekend to finish grading the projects

Answer:

The range of x is all real numbers including 0 to infinity, making this x ≥ 0

Answer:The range of x is all real numbers including 0 to infinity, making this x ≥ 0

Step-by-step explanation:

Using the given information, the density of metal B is 8.58 g/cm³

From the question, we are to determine the density of metal B

From the given information,

55 g of metal A is combined with metal B to create an alloy with mass 90 g

∴ Mass of metal B in the alloy = 90 g - 55 g = 35 g

Now, we will determine the volume of metal A in the alloy

Using the formula,

Density = Mass / Volume

∴ Volume = Mass / Density

Volume of metal A in the alloy = 55/12.7

Volume of metal A in the alloy = 4.33 cm³

Then, we will determine the volume of the alloy

Volume of the alloy = 90/10.7

Volume of the alloy = 8.41 cm³

∴ Volume of metal B in the alloy = 8.41 cm³- 4.33 cm³

Volume of metal B in the alloy = 4.08 cm³

Now, for the density of metal B

Density = mass / volume

Density of metal B = 35 / 4.08

Density of metal B = 8.58 g/cm³

Hence, the density of metal B is 8.58 g/cm³.

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Answer:

its the first one

Step-by-step explanation:

In a quadratic function, the second differences are the same.

In the first table, the first differences are:

3-6 = -3;

2-3 = -1;

3-2 = 1;

6-3 = 3

The second differences are then:

-1--3 = 2;

1--1 = 2;

3-1 = 2

The second differences are the same, so this is a quadratic function.

Answer:

  6π cm

Step-by-step explanation:

For a circle, the perimeter is equal to the circumference. The formula for the circumference of a circle is ...

  C = 2πr

where r is the radius of the circle.

__

Substituting the given value of radius into the formula gives ...

  C = 2π(3 cm)

  C = 6π cm

The perimeter of the circle is 6π cm.

Answer:

Below in bold.

Step-by-step explanation:

The 3 angles add up to 180 degrees as they are in a triangle.

So 10x - 33 + 4x - 19 + 100 - 2x = 180

12x = 180 + 33 + 19 - 100

12x = 132

x = 11.

So the 3 angles are

10(11) - 33 = 110 - 33 = 77 degrees

4(11) - 19  =  25 degrees

100 - 2(11) = 78 degrees

Answer:

Step-by-step explanation:

Answer: it’s A and C (45 ft and 37 ft) I think

The number of people attended dinner is 102.

An equation is a mathematical statement when two algebraic expressions are equated by an equal sign.

It is given in the question that

An awards dinner costs $225 plus $5 for each person making reservations

the total bill is $735

people attended the dinner = ?

Let x number of people attended the dinner

$225 + $5 * x = $735

5x = 735-225

5x = 510

x = 102

Therefore , 102 people attended the dinner.

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