Given that
5x:9=8:3
Calculate the value of x
Give your answer in its simplest form.

Answer:

(B). 86°

Step-by-step explanation:

Answer:

Pesos: $20

Dolares: $1

Step-by-step explanation:

Si la moneda mas alta tiene un valor de $20 pesos, tendria que pagar el primer articulo con 35 monedas. $20 x 35 = $700

Tendria que pagar 25 monedas para el segundo articulo. $20 x 25= $500

Si fuera en dolares, tendria que pagar el primer articulo con 700 monedas y el segundo articulo con 500 monedas.

Espero que esto te haya ayudado :)

Answer:

y=-4 and y=-8

Step-by-step explanation:

When you have an absolute value around something, you can remove it, expect it's like a square root, it's going to be a [tex]\pm[/tex]. Because 6+y could've been -2 and the absolute value just made it positive 2

So set 6+y equal to -2 and 2 to find the two solutions:

6+y = 2

y = -4

6+y = -2

y = -8

Hey there!

YOUR EQUATION: |6 + y| = 2

CONVERT THAT TO:

y + 6 = 2 OR y + 6 = -2

FIRST let’s solve for: y + 6 = 2

y + 6 = 2

SUBTRACT 6 to BOTH SIDES

y = 6 - 6 = 2 - 6

SIMPLIFY THAT!

y = 2 - 6

y = -4

Possible solution #1: y = -4

LASTLY let’s solve for: y + 6 = -2

y + 6 = -2
SUBTRACT 6 to BOTH SIDES

y + 6 - 6 = -2 - 6

SIMPLIFY THAT AS WELL!

y = -2 - 6

y = -8

Possible solution #2. y = -8

Therefore, your answer should be:

y = -4 or y = -8

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

P = [tex]\frac{Q-2}{3}[/tex]

Step-by-step explanation:

Q = 3P + 2 ( subtract 2 from both sides )

Q - 2 = 3P ( isolate P by dividing both sides by 3 )

[tex]\frac{Q-2}{3}[/tex] = P

Answer:

(2x-3)x

Step-by-step explanation:

The question has grouping, for the answer you have to ungroup the problem to get your solution.

Answer:

[tex]y=\frac{-2}{3} x-15[/tex]

Step-by-step explanation:

First draw a line. I will put it in an attachment so you can see the line.

Now choose to points on the line to use the slope formula.

(0,15) and (3,13).

Slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]

Plug in the information needed using the two points chosen.

[tex]\frac{13-15}{3-0}=\frac{-2}{3}[/tex]

The slope is [tex]\frac{-2}{3}[/tex].

Now use point-slope formula.

Point-slope formula: y-y1=m(x-x1)

y-15=[tex]\frac{-2}{3}[/tex](x-0)

y-15=[tex]\frac{-2}{3}[/tex]x-0

Subtract 15 from both sides.

y=[tex]\frac{-2}{3}[/tex]x-15

Hope this helps!

If not, I am sorry.

The pairs of rectangles are similar polygons; Option C and Option D.

A polygon is a closed figure made up of three or more line segments connected end to end.

Similar polygon beings their sides have equivalent ratios to each other.

Two polygons whose corresponding angles are congruent and the lengths of the corresponding sides are proportional.

C. 1.89/2.1 = 81/0.9 = 90

D. 120 / 24 = 60 / 12 = 5

Hence, Option C and Option D are similar polygons only.

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Answer:

Step-by-step explanation:

The angle sum theorem helps you compute the angle inside the triangle. The inscribed angle theorem helps you compute the arc measures outside the triangle.

The Angle Sum theorem tells you the sum of angles in a triangle is 180°. That lets you write the equation ...

  X +Y +Z = 180°

  X +69° +41° = 180°

The Inscribed Angle theorem tells you an inscribed angle has half the measure of the central angle subtending the same arc. The arc and the central angle have the same measure: twice that of the inscribed angle.

  arc ZY = 2×∠X

  arc XY = 2×∠Z

Using the equations we wrote describing the relationships of the unknowns to the known information, we find ...

  X = 180° -110° = 70°

  arc ZY = 2×70° = 140°

  arc XY = 2×41° = 82°

Answer:Angle x=70°

Step-by-step explanation:interior angles add up to 180° so we add 41° and 69°. After addition,you minus from 180° and you get 70°

Hello,

   3x - 11 > 7x + 9

⇔ -11 - 9 > 7x - 3x

⇔ - 20 > 4x

⇔ -20/4 > 4x/4

⇔ - 5 > x

⇔ x < - 5

The solution to the inequality 3x - 11 > 7x + 9 is x ∈ (-∞, 5) the graph is shown in the picture.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

The inequality is:

3x - 11 > 7x + 9

After simplification:

3x - 7x > 9 + 11

-4x > 20

-x > 5

Multiplying by a negative sign on both sides:

x < -5

The number line can be defined as the representation of the numbers on a straight line that goes infinitely on both sides.

After plotting on the number line:

x ∈ (-∞, -5)

Thus, the solution to the inequality 3x - 11 > 7x + 9 is x ∈ (-∞, 5) the graph is shown in the picture.

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Answer: (1,2)

Step-by-step explanation:

I will help you..

Given:

[tex]-2x-5y=-12\\10x-4y=2[/tex]

Lets cancel out the x term..

[tex]5(-2x-5y)=-12(5)\\=-10x-25y=-60[/tex]

Now our system looks like this:

[tex]-10x-25y=-60\\10x-4y=2[/tex]

Add.

[tex]-29y=-58\\y=2[/tex]

plug in 2 for y

[tex]-2x-5(2)=-12\\-2x-10=-12\\-2x=-2\\x=1[/tex]

Therefore the system is:

[tex](1, 2)[/tex]

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Answer:

y=2 x=1

Step-by-step explanation:

1.        5(-2x-5y=-12)

10x-4y=2


2.         -10x-25y=-60
                    +

            10x-4y=2

3.            -29y=-60+2

              -29y=-58

                    y=2

Answer:

Cos (30°) = √3/2

Step-by-step explanation:

that is the solution above

The value of the trigonometric equation cos ( 30 )° = √3/2

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of ∠BAC = 30°

The adjacent side of the triangle AC = √3 units

The hypotenuse of the triangle AB = 2 units

So , from the trigonometric relations  

cos θ = adjacent / hypotenuse

On simplifying , we get

cos ( 30 )° = √3/2

Therefore , the measure of cos ( 30 )° = √3/2

Hence , the trigonometric relation is cos ( 30 )° = √3/2

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The largest number of different whole numbers that can be on Zoltan's list is 999

The condition is given as:

Number =  1/3 of another number

Or

Number = 3 times another number

This means that the list consists of multiples of 3

The largest multiple of 3 less than 1000 is 999

Hence, the largest number of different whole numbers that can be on Zoltan's list is 999

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Option B is right perpendicular bisectors of the sides of the triangle

If we draw a circle through all the vertices of a triangle then the circle obtained is the circumcircle of the given triangle. We have in a triangle there are some properties inherent.

One is the perpendicular bisectors of all sides are concurrent. These three concur at a point called the circumcentre of the triangle.

When we draw a perpendicular bisector for a side AB, we get that all points on the perpendicular bisector are equidistant from A and B.

When we take the point of intersection of the perpendicular bisector of AB and BC, we have the intersecting point S(say) is equidistant from A and B and also from B and C

In short, this is equidistant from all 3 vertices and hence is the centre of the circumcircle of triangle ABC

Therefore Option B is right perpendicular bisectors of the sides of the triangle.

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The coordinate rule for each point is;

R'(x, y) → (x + 2, y + 1)

S'(x, y) → (x + 2, y - 1)

T'(x, y) → (x + 4, y - 2)

Coordinate plane rules is simply (x, y) → (x ± h, y ± k)

where h and k are the horizontal and vertical shifts.

Thus, the coordinate rule for each point is;

R'(x, y) → (x + 2, y + 1)

S'(x, y) → (x + 2, y - 1)

T'(x, y) → (x + 4, y - 2)

The transformation is (x, y) = (x, y) for Point R

The transformation is (x, -y) = (x, -y) for Points S and T

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Step-by-step explanation:

y = 1/x^2 => g

y = x^2 => a

y = (x)^1/3 => f

y = 1/x => b

Answer: 1/2, 15/2

Step-by-step explanation:

to solve this absolute value equation, all you need to do is divide the 2 over to the other side of the equation, giving:

|4-x|=7/2

and then you can remove the absolute value symbols and make 2 equations:

4-x=7/2

4-x=-7/2

solve these and you're done!

Answer:

j fingertip was not an easy choice but

Answer:

you will use the SOHCAHTOA METHOD IF ITS A TRIANGLE. Not sure

The graph of this function opens up and all the y-values range from -3 to infinity, so therefore the range is all x≥-3

The range of the function f(x) = |x| – 3 is {f(x) ∈ ℝ | f(x) ≥ –3}. The correct option is A.

The range of a function in mathematics can refer to one of two closely related ideas: The function's codomain a representation of the action A binary relation f between two sets X and Y is a function if there is exactly one y in Y such that f connects x to y for every x in X.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The graph of this function opens up and all the y-values range from -3 to infinity, therefore, the range is all x≥-3. The graph is attached with the answer below.

Therefore, the range of the function f(x) = |x| – 3 is {f(x) ∈ ℝ | f(x) ≥ –3}. The correct option is A.

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Using the mid-point concept, the set of points that has midpoint B(-41,23) is: G(10,10) and H(-92,36).

The mid-point between two points is the halfway point between them, and is found using the mean of the coordinates.

In this problem, we have that:

Hence the coordinates of H are found as follows:

[tex]-41 = \frac{10 + x}{2}[/tex]

10 + x = -82.

x = -92.

[tex]23 = \frac{10 + y}{2}[/tex]

10 + y = 46.

y = 46.

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Answer:

12

Step-by-step explanation:

12 + 12 + 12 = 36

let each number = X

3x = 36

x = 36/3

x = 12

The ratio that compares the men to the women who work at the warehouse is 4 : 1.

A ratio is a value that shows the proportional relationship between two quantities.

A ratio indicates how many times one number is contained in another.

For example, in the above task, there is 4x the number of men when compared with the number of women who work at the warehouse.

Men working at the warehouse = 1,200

Women working at the warehouse = 300

Ratio of men to women = 4 : 1 (1,200 : 300)

Thus, the ratio that compares the men to the women who work at the warehouse is 4 : 1.

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Answer: 4:1

i just took a test

Step-by-step explanation:

Answer:

26 is my guess

Answer:

25 liters will last 82 minutes.

Step-by-step explanation:

All you have to do is divide 23 by 7 to get the minutes per liter.

This will get 3.285714285714286.

Next you multiply 3.285714285714286 by 25 and you get 82.14285714285714.

But since we need to round the answer by the closest minute the answer would be 82 minutes.

Hope this helped :D

Hello !

Answer:

Step-by-step explanation:

Pythagorean Theorem : a² + b² = c² ⇔ b² = c² - a²

Here, we have a = 4 and c = 6 so :

    b² = 6² - 4²

⇔ b² = 36 - 16

⇔b² = 20

⇔ b = √20  (and not b= -√20 because b ≥ 0)

Answer:

b = [tex]\sqrt{20}[/tex]

Step-by-step explanation:

Using the Pythagorean Theorem:

6² = 4² + b²

⇒ b² = 6² - 4²

⇒ b = [tex]\sqrt{6^2 - 4^2}[/tex]

⇒ b = [tex]\sqrt{36 - 16}[/tex]

⇒ b = [tex]\sqrt{20}[/tex]

Hello!

The 2 activities which represent data collecting are :

The two activities in the choices represents data collecting are:

A. Graphing the heights of baseball players

C. Asking people what their favorite food is.

Because, in collecting data we will asking or not asking but measuring the data th needed to represents.

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Answer:

4.12

Step-by-step explanation:its 4.12 because all except it are in fraction form and irrational numbers cant be in fraction.

An equivalent expression with the rational denominator is,[tex](-8x+5)^ {\frac{-1}{2}}[/tex].Option A is correct from the drop-down menu.

Fraction simplification is a method of fraction reduction that entails making a fraction as simple as possible.

This is accomplished by dividing the numerator and denominator by the biggest integer that divides both integers exactly.

A fraction is consist of the form p/q

Where,

P is the numerator and q is denominator

An equivalent expression with the rational denominator is,[tex](-8x+5)^ {\frac{-1}{2}}[/tex].

Hence option A is correct.

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Answer:

47.92cm²

Step-by-step explanation:

Area = length x width