Arquimedes, Euclides e Ptolomeu têm, juntos, R$ 1 990,00. Arquimedes possui R$ 190,00 a mais do que Euclides e esse, dispõe de R$ 120,00 a mais do que Ptolomeu. Determine quantos reais cada um deles possui.

Answers

Answer 1

Responder:

Ptolomeu = 520

Euclides = 640

Arquimedes = 830

Explicação passo a passo:

Deixar :

Quantidade que Ptolomeu tem = x

Quantidade de Euclides = x + 120

Quantidade que Arquimedes tem = x + 120 + 190

Valor total que todos eles têm = $ 1990

Portanto,

x + x + 120 + x + 120 + 190 = 1990

3x + 430 = 1990

3x = 1990 - 430

3x = 1560

x = 520

Ptolomeu = 520

Euclides = 520 + 120 = 640

Arquimedes = 640 + 190 = 830


Related Questions

The Osborn family goes out to dinner, and the price of the meal is $60. The sales tax on the meal is 7%, and they also want to leave a 15% tip. What is the total cost of the meal?

Answers

the total cost of the meal is $73.83

The triangle shown is rotated 90° counterclockwise about the origin. What are the new coordinates of point A?
A)
(1,2)
B)
(-2, 1)
C)
(2, 1)
D)
(-2,-1)

Answers

Answer:

c

Step-by-step explanation:

Calcula el área de este hexágono. Datos: -lados 8 cm² -apotema 3'7cm²

Answers

Respuesta:

88,8 cm²

Explicación:

Consideremos un hexágono regular. Su apotema, la distancia más corta entre el centro del hexágono y uno de sus lados, es 3,7 cm y sus lados miden 8 cm.

Primero debemos calcular su perímetro, que es igual a la suma de sus 6 lados.

Perímetro = 8 cm + 8 cm + 8 cm + 8 cm + 8 cm + 8 cm = 48 cm

Luego, podemos calcular el área del hexágono usando la siguiente fórmula:

Area = Perímetro × Apotema / 2

Area = 48 cm × 3,7 cm / 2 = 88,8 cm²

How do I find the circumference?

Answers

The formula for circumference is 2(3.14)r
r = radius

PLEASE HELP RIGHT NOW ASAP IF CORRECT I WILL GIVE BRAINLIEST HELP NOW

Answers

Answer:

x^4

is the answer

Second one is 5^5 if it’s multiplying powers you add them if it’s divide you subtract the powers

Graph the function f(x) = 7 + 4x. Then find the value of f(x) when x =
1/4

Answers

Everything is graphed out and labeled here for ya!

what is the distance from (-4, -7) to (4, 8) ?

Answers

Answer:

17

Step-by-step explanation:

We can use this formula:

[tex]\sqrt{(x2-x1)^2 + (y2 -y1)^2}[/tex] where x and y indicate the coordinates of the two points

[tex]\sqrt{4-(-4)^2 + (8-(-7)^2} = \sqrt{64 + 225} = \sqrt{289} = 17[/tex]

Answer:

17

Step-by-step explanation:

You are given two points so you use the distance formula

[tex] \sqrt{( {x 2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]

Substitute your points into the formula

Ike's igloo sold 501 ice cream cones today.They sold half as many chocolate ice cream cone as vanilla ones. How many of each were sold?

Answers

Answer:

Chocolate cones = x = 167 cones

Vanilla cones = y = 334 cones

Step-by-step explanation:

Let

The number of Chocolate cones = x

Vanilla cones = y

Ike's igloo sold 501 ice cream cones today.

x + y = 501.... Equation 1

They sold half as many chocolate ice cream cone as vanilla ones.

x = 1/2y

x = y/2

Cross multiply

y = 2x

We substitute 2x for y in Equation 1

x + 2x = 501

3x = 501

x = 501/3

x = 167

Solving for y

y = 2x

y = 2 × 167

y = 334

Therefore,

The number of

Chocolate cones = x = 167 cones

Vanilla cones = y = 334 cones

Please answer this question correctly

Answers

Answer: it is 6

Step-by-step explanation: because they are the same length.

True or False: A secant passes through a circle once where as a tangent passes through a
circle twice.

Answers

Answer:

false

Step-by-step explanation:

A secant of a curve is a line that intersects the curve at least twice.

Help please ! 11x+4<15 or 12x+7>-25

Answers

Answer:

A

Step-by-step explanation:

From the first inequality,we got:

11x+4<15

11x<11

x<1

From the second inequality,we got:

12x>-18

x>-3/2

Combine it together we got

-3/2<x<1

Answer:

All values of x are solutions

Step-by-step explanation:

Part A: A bag of deflated balloons contains 5 red, 3 blue, 4 green, 4 yellow, 5 purple, and 4 white balloons. Create a probability model to show the probability of randomly selecting a balloon of each color. Part B: Verify that all possible outcomes are included in the probability model. Part C: Determine whether the probability model shows uniform or nonuniform probability.

Answers

Answer:

Given that x = 5.7 m and θ = 43°, work out BC rounded to 3 SF

A space probe flies by a planet in an hyperbolic orbit. It reaches the vertex of its orbit at (5,0) and then travels along a 2 path that gets closer and closer to the line y=-x. Write an equation that describes the path of the space probe if the 5 center of its hyperbolic orbit is at (0,0).​

Answers

Answer:

[tex]\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]

Step-by-step explanation:

Since the required hyperbola has its vertex at (5,0), its transverse axis is on the x-axis and center at (0,0).

So, we use the equation in standard form

[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1[/tex]

Also, since the path of the space probe gets closer to y = -x, this is the asymptote to the hyperbola.

Our standard asymptote equation is y = ±bx/a taking the negative sign and comparing with y = -x,

-bx/a = -x ⇒ b/a = 1 ⇒ a = b

Also, the coordinate of the vertex (c, 0) = (5, 0) and c² = a² + b²

substituting c = 5 and a = b into the equation, we have

c² = a² + b²

5² = a² + a²

25 = 2a²

a² = 25/2

a = √(25/2)

a = ±5/√2

rationalizing, we have

a = ±5/√2 × √2/√2

a = ±5√2/2

Since a = b, b = ±5√2/2

Inserting a and b into the equation for the hyperbola, we have

[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1\\\frac{x^{2} }{(\frac{5\sqrt{2} }{2} )^{2} } + \frac{y^{2} }{\frac{5\sqrt{2} }{2} ^{2} } = 1\\\frac{x^{2} }{\frac{25 X 2 }{4} } + \frac{y^{2} }{\frac{25X2 }{4} } = 1\\\frac{x^{2} }{\frac{25}{2} } + \frac{y^{2} }{\frac{25}{2} } = 1\\\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]

So, the required equation is

[tex]\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]

Solve x + 10 > 14. Then graph the solution.

Answers

Answer:

x>4

Step-by-step explanation:

Find the area of a sector of a circle with radius 7 cm and and central angle 240°.

Answers

The formula for finding area of a sector is angle/360 * area. Now plug in. Area of whole circle is 49pi. Central angle is 240. 240/360 = 2/3. 2/3*49pi = 98pi/3

Answer:

103 cm^2

i just took the quick check

3/5 pencils sold in the morning. 1/4 of the remainder in the afternoon. If 200 more pencils were sold in the morning than afternoon, how many pencils did they start with

Answers

Answer:

x = total pencils = 400 pencils

Step-by-step explanation:

Let

x = total pencils

Pencils sold in the morning = 3/5x

Remaining pencil = x - 3/5x

= 5x-3x/5

= 2/5x

Pencils sold in the afternoon = 1/4 of the remainder

= 1/4 * 2/5x

= 2/20x

= 1/10x

Pencils sold in the afternoon = 1/10x

3/5x + 200 = 1/10x

3/5x - 1/10x = 200

(6x-x)/10 = 200

5/10x = 200

1/2x = 200

x = 200 ÷ 1/2

= 200 × 2/1

x = 400 pencils

x = total pencils = 400 pencils

A company sells $982 worth of
merchandise this month. This is $40
more than twice the amount
they sold last month. Write a equation
to determine how much they sold
last month.

Answers

Answer:

2x+40=982

Step-by-step explanation:

A - 3/4 = 1/8 step by step explanation

Answers

Answer:

A-3/4=1/8 is the equation, if you expand 3/4 it is 6/8, in order to get 1/8 you need to subtract 6/8 from 7/8

7/8-6/8=1/8 therefor A=7/8

The tax rate at this restaurant is 9.5%.




Marc’s sales tax is $1.61. How much was his subtotal?

Answers

Answer:

I don't know, I'm just doing this to get points. lol

Step-by-step explanation:

haha

The shapes that 5 students drew are shown below

Answers

The answer is b because Ashley and Camden are the only quadrilaterals

The shapes that are quadrilateral drawn by the students are Ashley , Camden and Hayden

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The sum of angles of a parallelogram is 360°

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the quadrilateral drawn by the respective students be A

Now , the value of A is

The quadrilateral drawn by Ashley has 4 sides

So , it is a quadrilateral

Now , the shape drawn by Camden also has 4 sides

So , it is a quadrilateral

And , the shape drawn by Hayden is a polygon that has 4 side

Hence , the quadrilateral are drawn by Ashley , Camden and Hayden

To learn more about parallelogram click :

https://brainly.com/question/23488153

#SPJ2

substitution method please help :3

Answers

Answer:

7x + 27 = -17

Step-by-step explanation:

2x + 5x = 7x

3y + (-y) = 2y

-5 + (-12) = -17

Combine them to make the added equation.

7x + 2y = -17.


Lynette has a metal doorstop with the dimensions shown.
Each cubic centimeter of the metal in the doorstop has a mass
of about 8.3 grams. Find the volume of the metal in the
doorstop. Then find the mass of the doorstop.


Answers

Volume = 105in³

Mass = 871.5g

To find the volume of the metal we can find the area of a base, and multiply it by the prism's width.

The base is 30cm in area, and the width is 3.5cm, which makes the volume 105in³

The mass of the doorstop can be found by just multiplying the grams per cubic centimeter by the volume, which would be 871.5g


Write the new equation if the graph of f (x) = –2x2 + 5 is translated down 10
units. (Include f(x) in your answer)
HELPPP
PLEASE NO LINKS JUST WRITE OUT THE ANSWER

Answers

Answer:

how would i know the answer

Step-by-step explanation:

When x = 2 and y = 10 Write a formula for in terms of .

Answers

Answer:

y=mx-c

Step-by-step explanation:

follow to explain

PLEASE ANSWER!
I need asap

Answers

Answer:

input sloperelation output

Step-by-step explanation:

very sorry if I'm wrong

Determine which pair of points has a negative slope.
(6,9), (5, 7)
(-9, -2), (3,6)
(-8, 1), (8, -8)
(2, -8), (-1, -9)

Answers

Answer:

(–8, 1), (8, –8)

Step-by-step explanation:

Answer:

(-8, 1), (8, -8) has a negative slope

Step-by-step explanation:

1). y2 - y1 / x2 - x1

7 - 9 / 5 - 6

= 2

2). y2 - y1 / x2 - x1

6 - (-2) / 3 - (-9)

= 2/3

3). y2 - y1 / x2 - x1

-8 - 1 / 8 - (-8)

-9/16

4). y2 - y1 / x2 - x1

-9 - (-8) / -1 - 2

= 1/3

HELP PLSSs plssssssss helpppp it’s math plsssssss

Answers

Answer:

17°

Step-by-step explanation:

Complementary must add up to 90°

therefore, 90-73

Answer:

solution given:

x+73=90° complementary

x=90-73

x=17°

x=17°

CORRECT ANSWER = BRAINLIEST | NO LINKS. NO FILES. I will report you if you answer with either of these. The question is attached below:

Answers

the answer is B !! i included the work just in case you needed it

Find the area. 7 in. 5 in. 12 in. ​

Answers

Answer:

I believe its 47.5

Hope this helps!

Answer:

142.5

Step-by-step explanation:

1/2×5×(7+12)=142.5

Write the equation of the line that passes
through the points (-7,-9) and (-3,-1)

Answers

Answer:

2x + 5

Step-by-step explanation:

I am assuming you are talking about a linear function. If it is, then the equation would be:

2x + 5.

Hope this helps!

Answer:

[tex]y = 2x + 5[/tex]

Step-by-step explanation:

For this example, I used the slope-intercept form, [tex]y = mx + b[/tex], where m represents the slope and b represents the y-intercept.

In order to find the equation, we must find the slope and y-intercept.

Finding m

The slope can be found with the formula:

[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex], where the x and y variables represent different x and y values from the given points.

Substituting in values from the points, we get:

[tex]m = \frac{-1 + 9}{-3 + 7}\\\\m = \frac{8}{4}\\\\m = 2[/tex]

Finding b

In order to find the y-intercept, we must substitute the slope back into the original equation:

[tex]y = 2x + b[/tex]

After this, we must also substitute either of the two points. Both will give the correct answer, but (-3, -1) will be used for this example.

[tex]-1 = 2(-3) + b\\-1 = -6 + b\\5 = b[/tex]

Finding the equation

After this, all that must be done is to substitute the values for b and m back into the original equation.

[tex]y = 2x + 5[/tex]

To check our work, we can substitute in either of the given points. For demonstration purposes, (-7, -9) will be used.

[tex](-9) = 2(-7) + 5\\-9 = -14 + 5\\-9 = -9[/tex]

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