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

please help i will give brainliest :) question is in picture

Answers

Answer:

C. 43.96

Step-by-step explanation:

2 × 3.14 × 7

Equation is 2×pi×radius

Answer: The answer is B

Step-by-step explanation:

  The formula is 2πr.   2 * 3.14 * 7   6.28 *7 = 43.96

The scale of a map says that 3 cm represents 8 km.

What distance on the map (in centimeters) represents an actual distance of 20 kilometers?

What is the actual number of kilometers that is represented by 12 centimeters on the map?

PLEASE HELP ME ASAP I WILL MAKE YOU BRAINIEST!!

Answers

Answer:

Step-by-step explanation:

Problem 1

Set Up the Proportion

3 cm / 8 km = x / 20 km                Cross multiply

3*20 = 8x                                        Combine the left

60 = 8x                                           Divide by 8

60/8 = x

7 4/8  = x

7 1/2 km = x

7.5 km  = x

Problem 2

3 cm / 8km = 12 cm / x                  Cross multiply

3x = 12 * 8                                      Combine the right

3x = 96                                          Divide by 3

3x/3 = 96/3

x = 32 km

What is the slope of the line that passes through (2,5) and (6, 7)?

Answers

Answer:

1/2

Step-by-step explanation:

Slope is the change in y over the change in x so:

(7 -5) /(6-2) = (2)/(4) = 1/2

(-12,8), (6,2)
What is the point-slope form of the equation of the line?

Answers

Answer:

x-

Step-by-step explanation:

This is the answer in point slope form

A square and a rectangle have the same area. The length of the rectangle is twelve more than twice times the side of the square. The width of the rectangle is eight less than the side of the square. Let x be the length of the side of the square. Using the information above, what is the value of x?

Answers

Answer:

[tex]x = 12[/tex]

Step-by-step explanation:

Given

Shapes: Square and Rectangle

Square:

[tex]Length = x[/tex]

Rectangle:

[tex]Length = 12 + 2x[/tex]

[tex]Width = x- 8[/tex]

Required

Find x

First, we calculate the area of the square.

[tex]Area = x * x[/tex]

[tex]Area = x^2[/tex]

Next, we calculate the area of the rectangle

[tex]Area = (12 + 2x) * (x - 8)[/tex]

[tex]Area = 12x -96 + 2x^2 - 16x[/tex]

[tex]Area = 2x^2 - 16x + 12x -96[/tex]

[tex]Area = 2x^2 -4x -96[/tex]

Since both areas are equal, we have:

[tex]x^2 = 2x^2 -4x -96[/tex]

Equate to 0

[tex]2x^2 -x^2 -4x -96= 0[/tex]

[tex]x^2 -4x -96= 0[/tex]

Expand:

[tex]x^2 - 12x + 8x -96 = 0[/tex]

[tex]x(x - 12) + 8(x - 12) = 0[/tex]

[tex](x + 8)(x - 12) = 0[/tex]

[tex]x + 8 = 0[/tex] or [tex]x - 12 = 0[/tex]

[tex]x = -8[/tex] or [tex]x = 12[/tex]

But x can't be negative.

Hence:

[tex]x = 12[/tex]

can someone explain how to calculate a unit rate ​

Answers

Answer:

It's like 60 miles per (1) hour or 20 mL per (1) second. Independent value has to equal 1.

Solve for x.

23=79(6x−36)+9



Enter your answer in the box.

x =

Answers

Answer:

x= 6.02953586.......

Step-by-step explanation:

x= 6.02953586 hope this helps

The perimeter of a square with side length s

Answers

Answer:

4s

Step-by-step explanation:

The perimeter of a square is 4 times it's side length.

Formula for a perimeter of a square: [tex]4s[/tex]

s - side length

Hope this helps.

5x + (x , 3) = 38.4 =?

Answers

This is what X means (I put it in comments too lol)

x = 9.8

PLEASE PLEASE HELP GIVING BRAINALIST AND EXTRA POINTS FOR FIRST PERSON

Answers

Answer:

draw 5 tomatoes at the top and below that draw 2 cucumbers then next to it draw 10 tomatoes and 4 cucumbers. 4/9 4 for every 9

Step-by-step explanation:

Find the equation of a line that passes through the points (2, 5) and (2, 12) with steps

Answers

Answer:

x = 2

Step-by-step explanation:

y = mx + b

Unknown:

b = intecept = ?

mx = slope = ?

y = equation = ?

Known:

Coordinates needed

1. Find the slope

(y2 - y1)/(x2 - x1)

(12-5)/(2-2) = undefined

Vertical line

2. Find the intercept

intercept = N/A

x - intercept = 2

Equation:

x = 2

Hope this helped,

Kavitha Banarjee

help plzzzzzz it should be easy

Answers

Answer:

uh

Step-by-step explanation:

l

Answer

1.<     2.>

Step-by-step explanation:

1. 9x4/5= 7.2<9

2. 4x6/5= 4.8>4

recipe for two dozen cookies calls for 234cups of sugar. How much sugar is needed to make one dozen cookies? A 38cupsover33, cups B 138cupsove1r, cups C 134cupsover34, cups D 512cups5 and 1 half cup

Answers

Answer:

117 cups

Step-by-step explanation:

two dozen cookies calls for 234cups of sugar

2 dozen cookies = 234 cups of sugar

How much sugar is needed to make one dozen cookies?

Let x = cups of sugar needed

1 dozen cookies = x cups of sugar

2 dozen cookies : 234 cups of sugar = 1 dozen cookies : x cups of sugar

2 : 234 = 1 : x

2 / 234 = 1 / x

Cross product

2*x = 234 * 1

2x = 234

x = 234 / 2

= 117 cups

Your options are wrong because none corresponds with the answer

What is the tip answer?

Answers

Answer:

100.60

Step-by-step explanation:

15% of 87.48 is 13.12

[tex]a/87.48[/tex] x [tex]15/100[/tex]

cross multiply, you get 13.12

add up 13.12 and 87.48, you get 100.60

Day 2 question: Get it right and I'll give you brainliest(or if I just like your answer). Who is my favorite American rapper?
A. Kevin Gates
B. Megan Thee Stallion
C. Moneybagg yo
D.Cardi B

Extra Question: If you could be one celebrity for the day then who?
Answer to the last question(which I think was deleted but i'll put it anyway)
My favorite kpop groups order is: B(P1Harmony, Seventeen, Ateez, Stray Kids)

Answers

Answer:

Cardi B

Step-by-step explanation:

and my kpop stan is SEVENTEEN and im a carat, my bias is woozi

Answer  I think its money bagg yo and i would want to be Ariana Grande

Step-by-step explanation:

if you haven't pulled a knife out on yo siblings you aint real siblings

Answers

Answer:

yup

Step-by-step explanation:

OMG HELP PLEAAASE ILL BRAINLIST YOU

Answers

C is the answer because they are equal

2 + 3x²y - 1⁄2y + y - 1

Answers

Answer:

3x²y+0.5y+1

Step-by-step explanation:

2+3x²y -0.5y+y -1

2 and -1 is 1

-0.5y and +y is +0.5y so the answer is...

An amusement park charges a $12 parking fee plus 25 per person. What is the total cost for 32 people?​

Answers

Answer:

The total amount for 32 people is 15.36

Step-by-step explanation:

we know that for 25 people is $12 so we need to find how much it would be for one person. you would need to divide $12 / 25. from this you would get 0.48, so for one person it's 48 cents. next you're going to subtract 25 from 32, this leaves you with seven people who aren't in a group of 25. you then multiply 7 × this equals to 3.36, add 3.36 to $12 and you'll get your total 15.36.

Which table represents a linear function?

Answers

Answer:

bottom right/ fourth table

Step-by-step explanation:

2 7

4 9

6 11

8 13

2 is added to both sides in both columns, making it a linear function

2x + 3y - 10 = 0
2x -y-2 = 0

Answers

Answer:

2

x

+

3

y

10

=

0

 

Solve for  

y

.

Tap for more steps...

y

=

2

x

3

+

10

3

Use the slope-intercept form to find the slope and y-intercept.

Tap for more steps...

Slope:  

2

3

y-intercept:  

10

3

Any line can be graphed using two points. Select two  

x

values, and plug them into the equation to find the corresponding  

y

values.

Tap for more steps...

x

y

1

8

3

2

2

Graph the line using the slope and the y-intercept, or the points.

Slope:  

2

3

y-intercept:  

10

3

x

y

1

8

3

2

2

Step-by-step explanation:

i am sorry it came like this

I think this is an easier and faster way. You can solve it as a simultaneous equation. You bring the -10 and -2 to the other side by addition then you can multiply one of the equations by -1 so you can cross out the x as they are the same values but opposite signs then solve for y after solving for y substitute y with your answer and solve for x. Hope this helps

The ratio
1 mm represents 1 cm
is the same ratio as
1:10
Complete the following
The ratio
1 cm represents 1 km
is the same ratio as
1 :

Answers

1 : 100,000
Because there are 100cm in a m and 1000m in a km
100 x 1000 = 100,000

Sam has 3x + 4 dollars saved. Tessa has saved 7x + 16 dollars. Together they
have $110 saved. How much money have they each saved individually?

Answers

Step-by-step explanation:

3x + 4 + 7x + 16 = 110

10x = 90

x = 9

therefore, Sam = $31 and Tessa = $79

Topic: Algebraic Equations

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

Answer:

Sam: 31

Tessa: 79

Step-by-step explanation:

3x+4+7x+16=110

10x+20=110

10x=110-20

10x=90

x=9

Money Sam saved

=3(9)+4

=27+4

=31

Money Tessa saved

=7(9)+16

=63+16

=79

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

Answers

Repay the national debt, protective tarrifs, national banks, and whiskey tax.

A Bank for the United States.

Jefferson believed that individual states could create charter banks that could distribute money. He also opposed that the constitution did not give the nation government the necessary power to establish a financial bank.

solve the equation. 3x + 5 = x - 3

Answers

Answer:

x=-4

Step-by-step explanation:

Subtract x from 3x ( 2x )

2x+5=-3

Subtract 5 from -3 ( -8 )

2x=-8

Divide ( -4 )

x=-4

Which function describes the sequence 3, 6, 12, 24.... for n = 1. 2. 3.... ? A. f(n) = 3.11 B. /(n) = x2 + 2 C. f(n) = 3(2-1) D. f(n) = (n - 1)2 + 3​

Answers

Answer:

Tahukah kamu, mengapa motor berhenti di depan lampu merah?

karena motornya direm. Coba kalau nggak direm bisa bahaya tuh.

Tebak binatang apa yang jago renang?

Bebek. Kalau ikan bukan renang tapi menyelam

Kenapa di rel kereta api ditaruh batu?

Soalnya kalau ditaruh duit nanti pada diambil.

Is (-7,2 a solution

Answers

Answer:

(-7,2) is a solution but where is the question?

Step-by-step explanation:

Answer:

It is.

Step-by-step explanation:

I need the question though....

Put it DB and I'll answer!

can u answer this please ​

Answers

-5/2x+2
good luck!!!!!!

Graph a line that contains the point (3,-6) and has a slope of
2
khan academy i need it!!

Answers

Answer:

[tex]\boxed {\boxed {\sf y= 2x-12}}[/tex]

Step-by-step explanation:

We are given a slope and a point, so we can use the point-slope equation.

[tex]y-y_1=m(x-x_1)[/tex]

where m is the slope and (x₁, y₁) is the point.

The slope is 2 and the point is (3,-6).

[tex]m= 2\\x_1=3 \\y_1=-6[/tex]

Substitute the values into the formula.

[tex]y--6=2(x-3)[/tex]

[tex]y+6=2(x-3)[/tex]

Distribute the 2 on the right side of the equation.

[tex]y+6=(2*x)+(2*-3)[/tex]

[tex]y+6=2x-6[/tex]

We want to get the line into the form: y=mx+b. We have to isolate y on one side of the equation. 6 is being added to y. The inverse of addition is subtraction; subtract 6 from both sides of the equation.

[tex]y+6-6=2x-6-6[/tex]

[tex]y=2x-6-6[/tex]

[tex]y=2x-12[/tex]

The line is y=2x-12 (slope=2 and y-intercept=-12)

WILL GIVE BRAINLIEST

WHAT IS 2+2

RIGHT AWNSER WINS/ HINT 4+18

Answers

Answer:

2+2=4

4+18=22

Step-by-step explanation:

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