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

A student wrote and simplified an expression for the perimeter of the rectangle. (Using the picture provided.)

perimeter.

Explain the mistake that was made in the simplified expression. Include the correct simplified expression in your explanation. Be sure to use math vocabulary words.

Answers

Answer:

I’m backk

Step-by-step explanation:

which equation represents the line that passes through points (5, 4) and (-5, 0)

Answers

Find slope: (y2-y1)/(x2-x1)
(0-4)/(-5-5) = -4/-10 = 2/5
Y = 2/5x + b
Plug in one point
4 = 2/5(5) + b, b = 2
Solution: y = 2/5x + 2

The equation should be [tex]y = 2\div 5x + 2[/tex]

Given that,

The points are (5, 4) and (-5, 0)

Based on the above information, the calculation is as follows:

here we need to find the slope.

[tex]= (y_2-y_1)\div (x_2-x_1)\\\\= (0-4)\div (-5-5) \\\\= -4\div -10 \\\\= 2\div 5\\\\Y = 2\div 5x + b[/tex]

Now  

Put in one point

[tex]4 = 2\div 5(5) + b, b = 2[/tex]

So,

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

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Find the measure of the angle indicated

Answers

Answer:

Where's the angle?

Step-by-step explanation:

Answer:

there is no pic...

Step-by-step explanation:

I NEED HELP PLS!! i am so confused on what to do if you can explain that would be awesome!

Answers

Answer:I am pretty sure that it is that you add 26 and 71 and then subtract it by 180 and then the other one is across so it would be the same answer so it would be 83

Step-by-step explanation: I hope this helped

y=3x+5 6x - 2y = -10

Answers

Answer:

Parallel?

Step-by-step explanation:

6x = 2y + 10

3x = y + 5      divide both sides by 2

y = 3x + 5/3

 

Sam slopes, different intercepts.

Which equation represents the function graphed on the coordinate plane?
g(x)=|x+4|-2
g(x)=|x-4|-2
g(x)=|x-2|-4
g(x)=|x-2|+4

please help me this is due in a couple of minutes!!!!!!​ please help me.

Answers

Answer: A g (x)= [x+4]-2

Step-by-step explanation:

which of the following equations represents the graph?
A. y = 3/4x - 3

B. y = 3/4x + 4

C. y = 4/3x - 3

D. y = 4/3x + 4

Answers

Answer is d. y=4/3+4

Answer:

D) 4/3 x + 4

Step-by-step explanation:

The y-intercept is at point (0, 4) and the x--intercept is at point (-3, 0).

The equation for every straight line is y = mx + b. y is y, m is the slope, x is x, and b is the y value in the y-intercept

Now we will use the formula for slope, which is rise/run or more understandable , the change in y/change in x.

y2 - y1/x2 -x1

0 - 4/-3 - 0

-4/-3 = 4/3

Remember when I said the y-intercept was (0, 4) and b was the value of the y in the y-intercept? 4 is the value of y in the y-intercept.

The answer is 4/3x + 4.

In ΔCAB, point E is the midpoint of segment AC and point D is the midpoint of segment BC. If the measure of segment AB is 8 units, what is the measure of segment segment ED?

triangle CAB, point E is on segment AC between points A and C and point D is on segment BC between points B and C, creating segment ED
3 units
4 units
5 units
6 units

Answers

Answer:

4 units

Step-by-step explanation:

The measure of segment ED is 4 units.

Given In ΔCAB, point E is the midpoint of segment AC and point D is the midpoint of segment BC.

And AB is 8 units.

We have to calculate the length of segment ED.

We know that, The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side. This theorem is known as the mid point theorem.

So in  ΔCAB, E and D are the midpoint of AC and BC respectively then the length of DE is half of AB which is  [tex]\frac{8}{2}[/tex] [tex]=4[/tex] units.

Hence the measure of segment ED is 4 units.

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What is the domain and range???

Answers

Answer:

Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Step-by-step explanation:

PLEASE HELP !!! I would appreciate it

Answers

64, 32, 16

good luck mark brainly :DD

Answer:

64, 32, 16

Step-by-step explanation:

What is the value of f(-4)?
f(-4) =_____

Answers

Answer:

it looks like -7

Step-by-step explanation:

i just went to x=-4 and went to the nearest point from there

hope this is correct and helps

There are 20 children in a class 45% are girls, How many girls and boys are there?

Answers

Answer:

Step-by-step explanation:

each person represents 5%. so 45% are girls. 45/5 is 9, so 9 are girls. 20 minus 9 is 11 so 9 girls and 11 boys

The number of girls is 9 and the number of boys is 11.

Important information:

Total number of students = 2045% of total students are girls.Percentage:

Using the given information, the number of girls is:

[tex]20\times \frac{45}{100}=9[/tex]

Now, subtract the number of girls from the total number of students.

[tex]20-9=11[/tex]

Therefore, the number of girls is 9 and the number of boys is 11.

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What is a fraction form of $1.80?

Answers

Answer:Okay, so the first thing to do here is show you that any number can be a fraction if you use a 1 as the denominator. Take a look:

1.80

1

What we really want to do though, is get rid of the decimal places completely so that the numerator in our fraction is a whole number. To do this, we have to count the numbers after the decimal point, which in this case is 80.

To get a whole fraction we need to multiply both the numerator and the denominator by 10 if there is one number after the decimal point, 100 if there are two numbers, 1,000 if it's three numbers and 10,000 if it's...well, you get the idea!

In our case 80 is 2 digits long so we need to multiply the numerator and denominator by 100.

Now we just need to do that multiplication to get our whole fraction:

1.80 x 100

1 x 100

=

180

100

The next step is to simplify this fraction and, to do that, we need to find the greatest common factor (GCF). This is sometimes also known as:

Greatest Common Divisor (GCD)

Highest Common Factor (HCF)

Greatest Common Denominator (GCD)

The GCF can be a bit complicated to work out by hand but you can use our handy GCF calculator to figure it out.

In the case of 180 and 100, the greatest common divisor is 20. This means that to simplify the fraction we can divide by the numerator and the denominator by 20 and we get:

180/20

100/20

=

9

5

And there you have it! In just a few short steps we have figured out what 1.80 is as a fraction. The complete answer for your enjoyment is below:

1 4/5

Note: because 180 is greater than 100 we have simplified this fraction even further to a mixed fraction.

Step-by-step explanation:

HELPPPP. For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
(-4,3)
(-3, -4)
(-4,-3)
(3-4)

Answers

Answer:

option c

Step-by-step explanation:

because the y intercept is -3

in triangle ABC, angle A is 25 degree, and Angle B is 105 degrees. what is the measure of angle c

Answers

Angle c= 60°

This is because 105+25+x=180°
Hope this helps and good luck!! :)

pweese helppppppp meeeeeee

Answers

Answer:

No solution

Step-by-step explanation:

Graph these two equations and find a point where they intersect.

If they intersect, record the x values it intercepts. If it doesn't intersect, then it is no solution.

What is the value of x if x^1/2=64^1/3

Answers

Answer:

x=16

Step-by-step explanation:

[tex]x^{\frac{1}{2} }=64^{\frac{1}{3 } }=(4^3)^{\frac{1}{3} }=4^{3 \times \frac{1}{3} }=4 \\squaring\\x=4^2=16[/tex]

I think the answer is 16

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 )

Find the sum of the following arithmetic series.
8 +13+ 18+23+ ... + 83
The sum of this series is
(Simplify your answer.)

Answers

Answer:

its literally +5

Step-by-step explanation:

13-8= 5

18-13=5

23-18=5

4x+28-12x=32 need it asap​

Answers

Answer: look below.

x = −1/2

Answer

x=-0.5

Step-by-step explanation:

4x-12x=32-28

-8x=4

x=-0.5

Pls, it’s for a test , ;< . I Wanna actually Get a good grade. PLS HELP you will get 20 points


Solve y3 = 27.


A. y = 5.2
B. y = 9
C. y = 3
D. y = 3 y= 3

Answers

Answer: B. y=9
Explanation: divide both sides of the equation by three
y3/3 = y
27/3=9
y=9
hope this helps:)

Answer:

The answer is y=3

#5-10: Identify which line from the graph the following right triangles could lie on.
5.
120
6.
7
24
LINEAW
munt
90
30
18
9
2
SINEC
8.
14
9.
24
10.
16
21
th
36
48
7

Answers

Answer:

10

Step-by-step explanation:

The graphs the following right triangles could lie on are,

Line A triangle 10.

Line B triangle 8.

Line C triangle 7.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

Line A is (2, 6) so we have to find the right angle triangle which has a ratio of 2 : 6 for height : base.

The right angle triangle has a ratio height : base is 10. 16 : 48 which is 2 : 6.

Similarly, line B is (6, 9) or 2 : 3 so it is triangle 8.

And for line C (8, 6) so it is triangle 7.

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#SPJ2

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

4:5

Step-by-step explanation:

I'm 99% percent sure this is correct

Answer:

45 is equivelent in ruduces form

Step-by-step explanation:

To reduce this fraction, simply divide the numerator and denominator by 2 (the GCF). So, 810 = 8÷210÷2 = 45.

#4 Where is 44 on the number line?
A) At 22.
C) Between 6 and 7, but closer to 6.
B) Between 6 and 7, but closer to 7
D) Between 7 and 8, but closer to 7.

Answers

Answer:

B), Between 6 and 7, but closer to 7

Step-by-step explanation:

The square root of 44 is around 6.6, so closer to 7

You can prove this by multiplying 6.6 by itself

6.6 x 6.6 = 43.56

Please HURRY !
10(4-7)
What is the value of -(4-1)?
O-10
O-6
O6
O 10

Answers

the answer is the first one or -10

ANSWER ASAP FOR 35 POINTS!!
A pool has a diameter of 12 feet and a height of 2 feet. If each cubic foot holds 7.48 gallons of water, about how many gallons of water can the pool hold? Use 3.14 for pi.

A) 6764 gallons
B) 2255 gallons
C) 1691 gallons
D) 564 gallons

Answers

the answer is c 1691 gallons

Answer:

cc

Step-by-step explanation:

You are going to the gas station with your mom. The cost of a car wash is $5.00. The cost per gallon of gas $3.10 per gallon. Write a linear equation to represent the total cost of a trip to the gas station.​

Answers

9514 1404 393

Answer:

  c = 5.00w +3.10g

Step-by-step explanation:

Let w represent the number of car washes purchased, g represent the number of gallons of gas purchased, and c represent the total cost of the trip.

  cost = (cost of car washes) + (cost of gas)

  c = 5.00w + 3.10g

What is the translation of the point to its image? A (−1, 4)→ A' (3, 3)

Answers

Answer:

We validate that the formula to determine the translation of the point to its image will be:

A (x, y) → A' (x+4, y-1)

Step-by-step explanation:

Given

A (−1, 4)→ A' (3, 3)

Here:

A(-1, 4) is the original pointA'(3, 3) is the image of A

We need to determine which translation operation brings the coordinates of the image A'(3, 3).

If we closely observe the coordinates of the image A' (3, 3), it is clear the image coordinates can be determined by adding 4 units to the x-coordinate and subtracting 1 unit to the y-coordinate.

Thue, the rule of the translation will be:

A(x, y) → A' (x+4, y-1)

Let us check whether this translation rule validates the image coordinates.

A (x, y) → A' (x+4, y-1)

Given that A(-1, 4), so

A (-1, 4) → A' (-1+4, 4-1) = A' (3, 3)

Therefore, we validate that the formula to determine the translation of the point to its image will be:

A (x, y) → A' (x+4, y-1)

since u made me get it wrong u have to do this

Answers

Answer:

b and d

Step-by-step explanation:

Answer:

B and D are the correct answers.

Step-by-step explanation:

A and C are both wrong because we are not dividing 12 by 13, we are dividing 13 by 12.

B and D are corect because we are dividing 13 by 12, not 12 by 13.

I want the answer the the problem

Answers

Answer:

The length of the segment GI is 30.5 units

Step-by-step explanation:

In any triangle, the line segment joining the mid-points of two sides is parallel to the third side and equal to half its length

In ΔFHJ

∵ G is the mid-point of the side FH

∵ I is the mid-point of the side JH

∵ FJ is the 3rd side of the triangle

→ From the rule above

GI // FJ

GI = [tex]\frac{1}{2}[/tex] FJ

∵ FJ = 61 units

∴ GI = [tex]\frac{1}{2}[/tex] (61)

GI = 30.5

The length of the segment GI is 30.5 units

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