Héctor gastó en la entrada de cine una tercera parte del dinero con el que salió de casa. Con la cuarta parte del dinero compró una bolsa de palomitas y le sobraron 5 euros. ¿Con cuánto dinero salió de casa?

Answers

Answer 1

Answer:

Héctor salió de su casa con 12 euros.

Step-by-step explanation:

Cuando Héctor gastó en la entrada de cine una tercera parte del dinero con el que salió de casa, tenemos:

[tex] C = \frac{1}{3}x [/tex]    (1)

Cuando compró una bolsa de palomitas con la cuarta parte:

[tex] P = \frac{1}{4}x [/tex]    (2)                                  

Entonces al sobrarle 5 euros y relacionando las ecuaciones (1) y (2) con el monto inicial:

[tex] x - C - P = 5 [/tex]

[tex] x - \frac{1}{3}x - \frac{1}{4}x = 5 [/tex]

[tex] x = 12 [/tex]

Por lo tanto, Héctor salió de su casa con 12 euros.  

Espero que te sea de utilidad!    


Related Questions

Write an equation for the line with slope -5 and point (2,4).

Answers

Y = -5x + b
Plug in the point
4 = -5(2) + b
4 = -10 + b, b = 14
Solution: y = -5x + 14

Determine the slope of each line.
1.
ТУ
2.
8
ty
8
115,7)
4
(6,5)
4
Х
0
-4
-8
0
-8
4 8
(
2-2)
4
-
-4, -3)
-8
S

Answers

Answer:

The slope of the given line is -4

Step-by-step explanation:

The formula of the slope of a line passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]

In the given figure

∵ The line passes through the points (-6, 5) and (-4, -3)

x1 = -6 and y1 = 5

x2 = -4 and y2 = -3

→ Substitute them in the formula of the slope above

∵ m = [tex]\frac{-3-5}{-4--6}[/tex]

∴ m = [tex]\frac{-8}{-4+6}[/tex]

∴ m = [tex]\frac{-8}{2}[/tex]

∴ m = -4

The slope of the given line is -4

If f(x) = 3x + 2, what is f(5)?

Answers

Answer:

f(5)=3(5)+2 = 17

Step-by-step explanation:

fill in the table using this function rule. y= -6x + 3
x y
-1 ?
0 ?
1 ?
5 ?

Answers

just add 3 to the y value

The price of the same type of milk is shown. Which store has the the lowest unit price per ounce

Answers

Answer:

I would answer but there is no picture

Step-by-step explanation:

Answer:

It's not shown actually...

Step-by-step explanation:

Ummm...

which expression is equivalent to the given expression? 3x^2+5x-7(x^2+4)​

Answers

Answer:

-(4 x^2 - 5 x + 28)

-4 x^2 + 5 x - 28

-1\/16 (8 x - 5)^2 - 423\/16

Step-by-step explanation:

any of these equations are equal to  3x^2+5x-7(x^2+4)​

The equivalent expression is -4 x² + 5 x - 28.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given:

3x²+5x-7(x²+4)​

Now,

-(4 x² - 5 x + 28)

-4 x² + 5 x - 28

-1\/16 (8 x - 5)² - 423\/16

Hence, the  equivalent expression is -4 x² + 5 x - 28.

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Plz help me out I’m so confused

Answers

Answer:

b

Step-by-step explanation:

Answer:

The correct answer would be the second option y-2=1/3(x-3)

x – 7y = –11
5x + 2y = -18

Answers

Answer:

hope this help you

Step-by-step explanation:

Simplifying

X + -7y = -11

Solving

X + -7y = -11  

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '7y' to each side of the equation.

X + -7y + 7y = -11 + 7y

Combine like terms: -7y + 7y = 0

X = -11 + 7y

Simplifying

X = -11 + 7y

------------------------------------------------------------------------------------------------------------

Solving

5x + 2y = -18

Solving for variable 'x'.

Add '-2y' to each side of the equation.

5x + 2y + -2y = -18 + -2y

Combine like terms: 2y + -2y = 0

5x = -18 + -2y

Divide each side by '5'.

x = -3.6 + -0.4y

Simplifying

x = -3.6 + -0.4y

"The output is 5 less than twice the input

Answers

Answer:

x=2x-5

Im pretty sure that's it

6. Which of the following is the volume of a hemisphere with a radius of 8
inches?
A. 1,607,68 inches cubed
O B. 1,071.79 inches cubed
C. 2,143.57 inches cubed
D. 535,89 inches cubed

Answers

Answer:

Step-by-step explanation:d

Answer:

B

Step-by-step explanation: A hemisphere is half of a sphere. Knowing this all you have to do is find the volume as if the figure was a sphere, then divide it by 2.

volume of sphere equation: V=4 /3 πr^3

A local coffee house donates 2 pounds of
gourmet coffee beans to be sold at a local
fundraiser. The people running the fundraiser
decide to package and sell the coffee beans
in pound packages. How many pound
packages can they make

Answers

Answer:

They can make 2

Step-by-step explanation:

The coffee shop donated 2lbs, and if they package it in 1lb bags, 2/1=2

how many does this have

Answers

However many dots there is those are solutions I counted 4.
I think 5 then. I also counted 4 (from the dots that connect at the same intersection)

need help with the last 2 numbers ​

Answers

Answer:

the solution is t ≤1 (1)

If you earn $13/hour and you work 2 hours overtime at a rate of time and a half, how much will you earn for each hour of overtime?

Answers

Answer:

32.50

Step-by-step explanation:

It is simple. You need to know the basics of money, fractions, and well... Math! :)

if you take 13 and multiply it by 2 you get 26

Take the 26 and put it aside ------------->         26

divide 13 in half. that would be 6.50

6.50 + 6.50 = 13      

Now get the 26 -------------------------->  26

and add 6.50 to 26.

That would be 32.50!

Please make sure to follow and like! :)

3x-5y=22: y=-5x+32 solve for y

Answers

Y=0.6-4.4 is what I got

One ninth of the students in Mr. Beck’s class list red as their favorite color. Twice as many students call blue their favorite, and three times as many students prefer pink. The rest name green as their favorite color. If 6 students call blue their favorite color, how many students are in Mr. Beck’s class?

Answers

Answer:

27

Step-by-step explanation:

this is because 6 students is 2/9th of the class and if we divide that by two we get 3. 3 is 1/9th od the class so we multiply it by 9 to get 27 which is how many students should be in his class if i am right

4x2+24=0 simplify solutions

Answers

Answer:

4x^2 + 24 = 0

4x^2 = - 24

unsqrt

4x = ±2√6

x =  (±2√6)/4

aaaaaaaaaaaaaaaaaaaaahhhhhhhhhhhhhhhhh help

Answers

Multiply both sides and you should get X= 27

Answer:

x = 27

STEP BY STEP:

3 = x/9

3 = x/3 x 2

9 x 3 = x

27 = x

x = 27

Hope this helped! Have a good day!

At a college bookstore, Tanisha bought a Math Textbook and a Novel for $54. If the price of the Math Textbook is $8 more than 3 times the price of the Novel, then how much is the price of each book?

Answers

Answer: Price of Math Textbook= $42.5,  Price of the Novel= $11.5

Step-by-step explanation:

Let x = price of the Novel.

Price of Math Textbook = 8+3x

As per given , we have

Price of Math Textbook + Price of the Novel = $54

⇒ 8+3x+x = 54

⇒ 8+4x=54

⇒ 4x = 46     [subtract 8 from both sides]

⇒ x = 11.5

Price of Math Textbook = 8+3(11.5) = 8+34.5= $42.5

Hence, Price of Math Textbook= $42.5,  Price of the Novel= $11.5

Help me plssss Which inequality is represented by the graph below? Check all that apply.
O x>9
O x<9
O any rational number greater than or including 9
O any rational number less than or including 9 O any rational number greater than 9
O any rational number less than 9

Answers

Answer:

B

Step-by-step explanation:

im sorry if its wrong, but it's an open circle and the values that the arrow is including are less than 9.

Answer: 2,4,5

Step-by-step explanation:

how are ASA and AAS used to show that triangles are congruent?

Answers

Answer:

If two pairs of corresponding angles and the side between them are known to be congruent, the triangles are congruent. This shortcut is known as angle-side-angle (ASA). Another shortcut is angle-angle-side (AAS), where two pairs of angles and the non-included side are known to be congruent.

In ASA, two angles and one common side is equal and in AAS one not common side and two angles are equal.

What is triangle?

Simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric shapes is represented by the symbol and consists of three connected vertices.

The ASA congruence means, there will be two corresponding angles and one side between them will be equal, then the triangles are congruent.

The AAS congruence means, there will be two corresponding angles and one side excluded from them will be equal, then the triangles are congruent.

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need rn! please help, thx :)

Answers

Answer:

square root 8

Step-by-step explanation:

trust bro

A company makes steel rods shaped like cylinders. Each rod has a radius of 2 centimeters and height of 70 centimeters. How much steel will the company need to make 243 rods? Use 3.14 for pie, and round your answer to one decimal

Answers

Answer:

213,645.6cm³

Step-by-step explanation:

Area of a cylinder is expressed as;

V = πr²h

r is the radius = 2cm

h is the height = 70cm

Get the volume of one rod;

V = πr²h

V = (3.14)(2)²(70)

V = (3.14)(4)(70)

V = 879.2cm³

one steel = 879.2cm³

243 rods = x

Cross multiply;

x = 879.2 * 243

x = 213,645.6

The company will need 213,645.6cm³ volume of steel to make 243 rods

Click on photo if neccessary ​

Answers

the answer would be C

a new pair of shoes for 60% off. what expression represents the total cost

Answers

Answer:

What was the origainal price?

Step-by-step explanation:

a rectangle has vertices (0,0), (2k,0) and (0,k) find the fourth vertex

Answers

(2k,k)

Since it is at the same x-axis as (2k,0) and the same y-axis as (0,k), that is the answe

If a rectangle has vertices (0,0), (2k,0), and (0,k)  the fourth vertex will be (4,8).

What is a rectangle?

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is given that the rectangle has vertices (0,0), (2k,0), and (0,k).

A(0,0)
B(2k,0)

C(0,k)

D(x,y)

Since the opposite of the rectangle is the same it will be opposite to one of the coordinates shown in the graph.

To uniquely identify points on a plane, use ordered pairs and the rectangular coordinate system (x,y). Pairs that are ordered show position in relation to the origin.

The x-coordinate shows the left and right sides of the origin. Y-coordinate positions are above or below the origin.

Thus, if a rectangle has vertices (0,0), (2k,0), and (0,k)  the fourth vertex will be (4,8).

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What point is the intersection of the graphs of the lines 2 x - y = 3
and x + y = 3?

Answers

Answer:

(2, 1 )

Step-by-step explanation:

Given the 2 equations

2x - y = 3 → (1)

x + y = 3 → (2)

Rearrange (2) expressing y in terms of x by subtracting x from both sides

y = 3 - x → (3)

Substitute y = 3 - x into (1)

2x - (3 - x) = 3

2x - 3 + x = 3

3x - 3 = 3 ( add 3 to both sides )

3x = 6 ( divide both sides by 3 )

x = 2

substitute x = 2 into (3) for corresponding value of y

y = 3 - 2 = 1

Solution is (2, 1 )

What are the coordinates of the x-
intercept of the line in the graph
shown below?

Answers

The correct answer is D. (1,0)

What is (-3x2 - 6x - 8) - (4x2 + 5) simplified?

Answers

Step-by-step explanation:

i got 9x-9

hope this helps broo

-7x^2-6x-13


This is the answer

can someone please help me with this whole page asap !!!

Answers

what answers do u need
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