Un recipiente está lleno de agua. Se extrae un tercio de su capacidad total y luego la cuarta parte del resto. Si finalmente se le agrega un litro, quedan 25 litros de agua en el recipiente. ¿Cuál es la capacidad total del recipiente?

Answers

Answer 1

Answer: 48 litros.

Step-by-step explanation:

El recipiente está inicialmente lleno, definamos esta cantidad como X.

Se extrae un tercio, entonces lo que queda en el recipiente son dos tercios de la cantidad inicial, esto es:

(2/3)*X

Luego se extrae (1/4) de esta cantidad, eso quiere decir que queda (3/4) de esta cantidad, entonces lo que queda es:

(3/4)*(2/3)*X = (2/4)*X = (1/2)*X

Luego se agrega un litro, entonces tenemos:

(1/2)*X + 1 L

Sabemos que esta cantidad es igual a 25 L, entonces:

(1/2)*X + 1 L = 25 L

Resolvamos esto para X

(1/2)*X = 25 L - 1 L = 24 L

X = 2*24 L = 48 L

La cantidad que puede contener el contenedor son 48 litros.


Related Questions

A building in a shape of a cube has a width of 100 ft., a length of 100 ft., and a height of 100 ft. An architect wants to build a scale model of the building that is 10% smaller in volume. What is the height of the new building? Round to the nearest hundredth.

A) 90.75 ft.
B) 95.25 ft.
C) 96.55 ft.
D) 99.25 ft.

Answers

Answer: A) 90.75 ft.

Step-by-step explanation: because if we cut 10 from 100 we will get 90

Can anyone help me please?

Answers

Answer:

x=35; y=55; z=55

Step-by-step explanation:

x+y=90; z+x=90

z+35=90

z=90-35= 55

x=90-55= 35

y= 90-35 =55

Ten years ago, the population at Lincoln High School was about 2,000 students. Since then, the population has increased by 25%.



What is the new population now?

Answers

Answer:

2,500 students

Step-by-step explanation:

If the population has increased by 25%, the total population of the school is now 125% of what it used to be. Then to figure it out, you find out 125% of 2000 which is 2,500 students!

(Hope that helps :):):)

by the definition of supplementary angles, the base angles of the top isosceles triangle have the measure of

Answers

Answer:

128

Step-by-step explanation:

Top Triangle

Let the base angles of the top triangle = y

y + 102 = 180

y = 78

The vertex

Is found by adding the two base angles together and subtract that from 180

y + y + vertex = 180

78 + 78 + vertex = 180

156 + vertex = 180

vertex = 180 - 156

vertex = 24 degrees

Bottom Triangle

Because the base angles are connected by a vertically opposite angle on the bottom triangle, both base angles are 26

Therefore 26 + 26 + x = 180

52 + x = 180

x = 180 - 52

x = 128

Explain the difference between equilateral and equiangular :) ​

Answers

An equilateral polygon has congruent sides, like a rhombus.

An equiangular polygon has congruent interior angles, like a rectangle.

In other words: Equilateral doesn't necessarily have congruent INTERIOR angles while equiangular does have/need congruent interior angles.

An alarm rings 8 times in 5 seconds.What is the unitr rate,in rings per second?

Answers

Answer: the answer is 1.6

Step-by-step explanation: 8 divided by 5 is 1.6

Fill in the missing numbers:
8, 18, 11, 15, 5, 4, 14, 9, 19, 1, 7, 17, 6, 16, etc.

Answers

Answer:

20 2 3 6 10 998778889899999

find the slope of the the line graphed

Answers

Answer:

[tex]m=\frac{-5}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (1, 1)

Point (3, -4)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                    [tex]m=\frac{-4-1}{3-1}[/tex]Subtract:                              [tex]m=\frac{-5}{2}[/tex]

An Auditorium has 29 rows, with 115 chairs in each rows. How many chairs does the auditorium have in all? Show your work

Answers

Answer:

3335 chairs

Step-by-step explanation:

To find the total number of chairs, multiply 29 by 115, since there are 29 rows that have 115 chairs:

29(115)

= 3335

So, the auditorium has 3335 chairs in all

Answer: 3335 Chairs

Work: So, the question already gave us how many seats are there per row, now we need to find out how many are there in 29 rows. You multiply 115 by 29 to find out how many seats are there, and you get 3335 chairs. I hope this helps you, and stay safe. :)

Which point best represents t? Explain your answer.

Answers

D. B because it is a little more than 3
( pi is 3.14)

Answer:

The answer is D because the letter B is a bit over 3 and 3.14 is pi

Step-by-step explanation:

A company has a monthly profit, or gain, of $6,400. The next month they have a loss of $4,700.

What expression would you use to find the difference in profit between the two months?

-4,700 - 6,400
6,400 - 4,700
6,400 - (-4,700)
4,700 - 6,400

Answers

Answer:

6,400-4,700

Step-by-step explanation:

Given u = ⟨1, 3⟩, v = ⟨2, 1⟩, and cos(ϴ) = StartFraction StartRoot 2 EndRoot Over 2 EndFraction , where ϴ is the angle between the vectors, what is the scalar projection uv and the dot product u · v?

Answers

Answer:

B?

Step-by-step explanation:

Answer:

b.

Step-by-step explanation:

edge 2020

Write an equation of the line that passes through (–2, 8) and (–4, –4).
PLEASE HEEEELP MEEE! PLEASE ACTUALLY PROVIDE AN EXPLANATION! BEST EXPLANATION AND ANSWER GETS BRAINLIEST! THANKS

Answers

Answer:

sorry bro

Step-by-step explanation:

Answer:

Y=6x+20

Step-by-step explanation:

A racing car travels at a speed of 193 miles per hour.
Work out an estimate for the number of seconds the racing car travels in 10 miles.

Answers

Answer:

The estimate is 186.5 seconds.

Step-by-step explanation:

To calculate the estimate of the time the racing car will take to travel 10 miles, we have to first find the ratio of the original distance to the requested distance.

The number of seconds in an hour is [tex]60 \cdot 60[/tex] seconds, which equals to 3600 seconds.

[tex]\frac{193}{10} = \frac{3600}{x}[/tex]

[tex]19.3 = \frac{3600}{x}[/tex]

[tex]x = \frac{3600}{19.3}[/tex]

[tex]x \approx 186.5[/tex]

Hence, the estimate is 186.5 seconds.

Hope this helped!

general sales tax in pakistan is a

Answers

Answer:

17percent

Hope this helped have an amazing day!

Use the information provided to write the equation of each parabola in vertex form and intercept form.

Answers

I think it’s B
Hopefully this helps!!

y-28=95
y-28+ ? =95+28
y=?

Answers

Answer:

Step-by-step explanation:

y -28 = 95

y-28 + 28 = 95 +28

y=123

dummy ;)

Please help I might fail!!

Answers

I think it’s the second one
I think it’s the last one

Which set of ordered pairs does not represent a function? { ( − 3 , − 1 ) , ( 8 , − 1 ) , ( 0 , − 5 ) , ( − 9 , − 2 ) } {(−3,−1),(8,−1),(0,−5),(−9,−2)} { ( 5 , 9 ) , ( − 3 , − 5 ) , ( 0 , 4 ) , ( − 9 , 9 ) } {(5,9),(−3,−5),(0,4),(−9,9)} { ( 9 , 0 ) , ( − 5 , 4 ) , ( 5 , 0 ) , ( 6 , 3 ) } {(9,0),(−5,4),(5,0),(6,3)} { ( 2 , 8 ) , ( 2 , 1 ) , ( − 9 , − 5 ) , ( − 8 , 9 ) } {(2,8),(2,1),(−9,−5),(−8,9)} Submit Answer

Answers

Answer:

[tex]\{(2,8),(2,1),(-9,-5),(-8,9)\}[/tex] is not a function

Step-by-step explanation:

Given

[tex]\{(-3,-1),(8,-1),(0,-5),(-9,-2)\}[/tex]

[tex]\{(5,9),(-3,-5),(0,4),(-9,9)\}[/tex]

[tex]\{(9,0),(-5,4),(5,0),(6,3)\}[/tex]

[tex]\{(2,8),(2,1),(-9,-5),(-8,9)\}[/tex]

Required

Which is not a function

A function is of the form [tex](x,y)[/tex]

Assume a function is:

[tex]\{(x_1,y_1),(x_2,y_2),(x_3,y_3).....,(x_n,y_n)\}[/tex]

In simple terms:

For an ordered pair to be regarded as a function, no x value must be repeated

Analyzing the options:

1. [tex]\{(-3,-1),(8,-1),(0,-5),(-9,-2)\}[/tex]

This is a function because none of the x values (-3, 8, 0 and -9) appeared more than once

2. [tex]\{(5,9),(-3,-5),(0,4),(-9,9)\}[/tex]

This is a function because none of the x values (5, -3, 0 and -9) appeared more than once

3. [tex]\{(9,0),(-5,4),(5,0),(6,3)\}[/tex]

This is a function because none of the x values (9, -5, 5 and 6) appeared more than once

4. [tex]\{(2,8),(2,1),(-9,-5),(-8,9)\}[/tex]

This is not a function because one of the x values (2) appeared more than once.

i.e.

[tex](2,8)[/tex]   and   [tex](2,1)[/tex]

Round 639,121 to the nearest ten thousand.

Answers

Answer:

640,121

Step-by-step explanation:

the first blanks options are -2 , -1/2 , 2 , 1/2
The seconds are -5 , -3 , 5, 3
the thirds are -2, -1, 2, 1
and the fourths are -2, -1, 2, 1

Answers

Answer:

equation 1

y = -2x

equation 2

y = x-3

Solution to both

(1,-2)

Step-by-step explanation:

We need to get the equations of both lines

General form is;

y = mx + c

where m is slope and c is the y-intercept

Table 1

since we have a point 0,0; the y-intercept here is zero

Let us get the slope. We can do this by selecting any two points

m = (y2-y1)/(x2-x1)

m = (2-10)/(-1+5) = -8/4 = -2

So the equation of the first line is;

y = -2x

Table 2

we get the slope

m = (4+2)/(7-1) = 6/6 = 1

The partial equation is;

y = x + c

To get c, we select any two point and substitute

4 = 7 + c

c = 4-7

c = -3

So the equation is;

y = x-3

To get the solution to both systems, we equate the y

-2x = x - 3

-2x-x = -3

-3x = -3

x = -3/-3

x = 1

To get y, we substitute;

recall; y = -2x

y = -2(1)

y = -2

Solution to the system is;

(1,-2)

pls help i just really need help like rn!!TYYY

Answers

like terms would just be ones with the same variables

1. 7m, 20m, 5m

2. 13, 6, 2

3. 21bc, 8bc, 15bc

4. 27y, -6y, 9y

5. 45r, -7r, 5r

next section

6. 9r

7. 7r-8

8. -19r — 22p

9. 8r + 9p -7

10. 0

11. -19p — 2r

12. 9/4 r

13. 9r

14. 7/3p


ps. u should make questions that are long (like this) more points so ppl might be more willing to help (:

Please help....thanks....will give brainliest!!! <3​

Answers

Answer:

10.9

Step-by-step explanation:

[tex]4.34^{2} - \sqrt{96.1} + 3.51 \div 1.87[/tex]

[tex]= 18.8356 - 9.80306074652 + 1.87700534759[/tex]

[tex]= 10.9095446011[/tex]

[tex]\approx 10.9[/tex] (to 1 sig. fig.)

Hope this helped!

Answer:

10.9

I hope this helps!

Imani is taking apart a beaded necklace to make 4 identical bracelets. The necklace has 48 beads. How many beads will Imani use for each bracelet?

Answers

Answer:12 beads

Step-by-step explanation: If she has 48 beads and wants to make 4 bracelets, you will have to divide 48 by 4 which gives you 12

Write an equation of the line that passes through (5,9) and is perpendicular to the line y=-1/3x+1

Answers

Perpendicular = opposite sign and reciprocal slope
Slope would be 3
Y = 3x + b, plug in point
9 = 3(5) + b, b = -6
Solution: y = 3x - 6

evaluate n²+5 when n=3

Answers

Answer:

14

Step-by-step explanation:

When you sqaure a number you multiply it by itself once so it would be (3x3) + 5. Rmemeber PEMDAS, so you multiply 3x3 first to get 9 and then you add 5 to get 14.

48 people attended the Sunday matinee to watch a film. .Three over 8 of the people went to see a romantic comedy. .One over six of the people went to see an action movie. .The remaining people saw a horror movie. How many people saw a horror movie?

Answers

Answer:

22 people saw an horror movie

Step-by-step explanation:

Total people who attended the Sunday matinee = 48

People who saw romantic comedy = 3/8 of 48

= 3/8 × 48

= (3*48) / 8

= 144 / 8

= 18 people

People who saw action movie = 1/6 of 48

= 1/6 × 48

= 48/6

= 8 people

People who saw horror movie = x

Total people who attended the Sunday matinee = People who saw romantic comedy + People who saw action movie + People who saw horror movie

48 = 18 + 8 + x

48 = 26 + x

Subtract 26 from both sides

48 - 26 = 26 - 26 + x

22 = x

x = 22 people

22 people saw an horror movie

d) The permeter of the recthngle shown is 30 inches
Height is 12 Length is 4x-6
Part A Write & solve an equation to find the vale of x
Equation
Solve and answer
Part B What is the area of the rectangle?

Answers

Answer:

Step-by-step explanation:

P = 2(w + l)

A = lw

~~~~~~~~~~~~~

Part A:

2[(4x - 6) + 12] = 36

8x- 12 + 24 = 36

8x = 36 - 12

x = 3

Part B:

A = 6 × 12 = 72 inch.²

PLSEASE HELP
PLSPLOSLSKSOSKS

Answers

Answer:

Number 1

Step-by-step explanation:

Because the absolute Value of A is less then the value of B

Find the circumference of a circle whose area
is 38.5 m²​

Answers

Answer:

12.41m

Step-by-step explanation:

Well, if we divide by the hypotenuse of the Pythagorean Theorem due to the angle created between the divisions on the scale between the 8th and 7th degree law of the Mathematical Institution of Nigeria, Ghana and Ethiopia (MINGE), then we get the result of 12.41.

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