5.- Andrés se comió 1/5 de los bombones de una caja y Ana 1/2 de la misma. ¿Qué fracción de bombones se comieron entre las dos?. Si quedaron 12 bombones, ¿cuántos bombones tenía la caja? (Solución)

Answers

Answer 1

Answer:

La fracción de bombones que se comieron entre los dos es [tex]\frac{7}{10}[/tex]

La caja tenía 40 bombones.

Step-by-step explanation:

Sabes que Andrés se comió 1/5 de los bombones de una caja y Ana 1/2 de la misma. Para conocer la fracción de bombones que se comieron entre ambos, debes sumar las fracciones que comieron cada uno:

[tex]\frac{1}{5} +\frac{1}{2}[/tex]

Para hacer suma de fracciones con distinto denominador, lo primero que hay que hacer es determinar un denominador común. Para eso debes calcular el mínimo común múltiplo (mcm) entre los denominadores.

En este caso, el mcm entre 5 y 2 es 10.

Ahora tienes que multiplicar cada numerador por el número que hayas multiplicado el denominador. Para ello, dividís el m.c.m entre el denominador inicial y el resultado se multiplica por el numerador de esa fracción:

10÷5= 2 ⇒ 2*1= 2 Por lo tanto, 2 es el numerador de la primera fracción.10÷2= 5 ⇒ 5*1= 5 Por lo tanto, 5 es el numerador de la segunda fracción.

Entonces:

[tex]\frac{1}{5} +\frac{1}{2}=\frac{2}{10} +\frac{5}{10}[/tex]

Ahora  simplemente sumas los denominadores:

[tex]\frac{1}{5} +\frac{1}{2}=\frac{2}{10} +\frac{5}{10}=\frac{7}{10}[/tex]

La fracción de bombones que se comieron entre los dos es [tex]\frac{7}{10}[/tex]

Sabes que quedaron 12 bombones en la caja. Representando 1 la cantidad total de bombones, y si se comieron 7/10 de la caja, entonces quedaron:

[tex]1-\frac{7}{10}[/tex]

Restando de manera similar al procedimiento usado para la suma se obtiene:

[tex]1-\frac{7}{10}=\frac{3}{10}[/tex]

Finalmente podes aplicar la siguiente regla de tres: si 3/10 representa los 12  bombones que quedaron en la caja, entonces en 1 (que representa la cantidad total de bombones) cuantos bombones hay?

[tex]cantidad total de bombones=\frac{1*12}{\frac{3}{10} }[/tex]

cantidad total de bombones=40

La caja tenía 40 bombones.


Related Questions

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Answer:147/100

Step-by-step explanation:Convert the percentage to a fraction by placing the expression over  

100

. Percentage means 'out of  

100

1  47/100

That would be the answer uwu

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Answer: 4-6x^2

Step-by-step explanation:

f•g = f(g(x))

f(g(x)) = 4-2(3x^2) = 4-6x^2

Find the equation of the straight line passing through the point (0,2) which is perpendicular to the line y=1/4x+5

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Answer:

y=-x+2

Step-by-step explanation:

how do you solve 6-9(4p-3)= 2(6p+7)+3

Answers

Answer:

p=  1/3

​ =0.333

Step-by-step explanation:

Simplifying

6 + -9(4p + -3) = 2(6p + 7) + 3

Reorder the terms:

6 + -9(-3 + 4p) = 2(6p + 7) + 3

6 + (-3 * -9 + 4p * -9) = 2(6p + 7) + 3

6 + (27 + -36p) = 2(6p + 7) + 3

Combine like terms: 6 + 27 = 33

33 + -36p = 2(6p + 7) + 3

Reorder the terms:

33 + -36p = 2(7 + 6p) + 3

33 + -36p = (7 * 2 + 6p * 2) + 3

33 + -36p = (14 + 12p) + 3

Reorder the terms:

33 + -36p = 14 + 3 + 12p

Combine like terms: 14 + 3 = 17

33 + -36p = 17 + 12p

Solving

33 + -36p = 17 + 12p

Solving for variable 'p'.

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

Add '-12p' to each side of the equation.

33 + -36p + -12p = 17 + 12p + -12p

Combine like terms: -36p + -12p = -48p

33 + -48p = 17 + 12p + -12p

Combine like terms: 12p + -12p = 0

33 + -48p = 17 + 0

33 + -48p = 17

Add '-33' to each side of the equation.

33 + -33 + -48p = 17 + -33

Combine like terms: 33 + -33 = 0

0 + -48p = 17 + -33

-48p = 17 + -33

Combine like terms: 17 + -33 = -16

-48p = -16

Divide each side by '-48'.

p = 0.3333333333

Simplifying

p = 0.3333333333

Answer: I got p=1/3

Explanation: Different easier way.

6-9*(4*p-3)-(2*(6*p+7)+3)=0

(6-(9•(4p-3)))-(2•(6p+7)+3) = 0

(6 - 9 • (4p - 3)) - (12p + 17) = 0

16 - 48p = -16 • (3p - 1)

-16 • (3p - 1) = 0

-16 = 0

3p-1 = 0

3p = 1

p = 1/3 = 0.333

I NEED HELP!!!!
(3.2 x 10^4)(1.4 x 10^2)

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Answers

Step-by-step explanation:

So Scientific Notation is like this.

Ya got a big number that has of 0s . Let's just throw out 69,000,000,000,000

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You then count the number of 0s and +1. So in this case, you'll have 12+1. Which is 13.

You then take the 6.9 and note it with a *10. You then take the 13 and put it on the 10 as an exponent. So in the end youll have 6.9*10^13.

Hopefully, this helps.

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Answer:

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Step-by-step explanation:

Consider making another question, and actually putting the picture!

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

8,1                              8,2

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A charm bracelet costs $65, plus $25 for each charm, write an equation in standard form that represents the total cost y of a bracelet that has x charms please help!

Answers

Answer: , y = 65+25x

Step-by-step explanation:

Let x = Number of charms

Given : Fixed cost of bracelet = $65

On addition , cost per charm = $25

Total cost of bracelet = Fixed charge + (Charge per charm)  x (number of charm)

If y= total cost.

Then, y = 65+25x , which is the required equation.

Plz help me with these question ( just making sure So I don’t get them wrong! :)

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1. x intercept is (10,0)
y intercept is (0,6)

2. x intercept is (4,0)
y intercept is (0, -1)

3. x intercept is ( 4,0)
y intercept is (0,8)

hope this helps :) !

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Answer:

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I am not sure about the rest.

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Answer:

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Step-by-step explanation:

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Answers

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Answer:

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Answers

Answer:

The first term would be 18 ig, and then the common differnce would be 7.

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Step-by-step explanation:

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Answer:

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Hope this helps!

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try using socratic the math app

Say you are filing as a single taxpayer. You have a gross income of $61,026 and claim two exemptions. You can make a deduction of $2,871 for interest on your mortgage, a deduction of $2,376 for property tax, an adjustment of $3,206 for business losses, an adjustment of $2,575 for contributions to your retirement plan, a deduction of $2,682 for medical expenses, and an adjustment of $2,440 for business expenses. If exemptions are each worth $3,650 and the standard deduction is $5,700, what is your total taxable income?
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Answer:

2 1/3 ssssssssssssddddss

Answer:

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Step-by-step explanation:

Because If we look at it fraction wise

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Answers

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Step-by-step explanation:

The line runs through the coordinate (0,0), rather than starting at (0,2), (0,4), or (0,8).

Always remember that you read coordinates as (x,y) which..

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Y is how many spaces up or down.

Answer:

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Step-by-step explanation:

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If you think my answer was helpful please make it the brainliest that would be much appreciated. Thanks! :D

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Answers

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Answers

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Step-by-step explanation:

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Answers

Answer:

The y intercept is -2, because that is the point where the line hits the vertical y intercept. The slope is - 1/4

Step-by-step explanation:

Answer:

slope = -1/4

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Will give brainliest if correct.

Answers

Answer:

The x-intercept is 4,0. The y-intercept is 0,2.

Step-by-step explanation:

when your finding an intercept you make the other intercept 0. This means the equation to find the x-intercept would look like 5x = 20. This is because they = 0, which means 10 x 0 is 0. Then you use the inverse operation so since it's 5 * x, it will be 20 ÷ 5 which is 4. Do the same thing with the y-intercept. Instead of changing the y to a 0, change the x. Using the inverse operation you get 2.

Have a nice day!

X-intercept = (4,0)
Y-intercept = (0,2)

To find the x intercept make y = 0
5x + 10(0) = 20
5x = 20
x = 4
So (4,0)

To find the y intercept make x = 0
5(0) + 10y = 20
10y = 20
y = 2
So (0,2)

EASY PLEASE HELP PLEASE HELP 15 POINTS...PLEASE HELP

Answers

Answer:

if im correct the y intercept if -1

Step-by-step explanation:

thats where the line crosses the y axes

Answer:

-1

Step-by-step explanation:

The line on the graph goes through the y axis at point -1

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Answers

Answer:

Step-by-step explanation:

Yes plzz give me brainliest

It is B your welcome !!!

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Answer:

sad

Step-by-step explanation:

Colin gets £xx wages each week. After he pays his tax of £tt, he then pays his rent of £250. He shares what's left between himself and his wife. How much do they each get?


Answers

9514 1404 393

Answer:

  (x -t -250)/2

Step-by-step explanation:

The amount left from x after paying t and 250 is ...

  x -t -250

If this is split into two equal parts, each share is ...

  share = (x -t -250)/2

Please help! I need to answer this last question, and it was due last night!! Will chose Brainliest!! Just find the missing measures!

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If it’s an angle I think 90% but if not maybe 24 all around
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