Antonio, Lucas y Darío compraron un refresco de 5/2 (2litros y 1/2) que piensan repartir en partes iguales. a) ¿Qué fracción de litro le corresponde a cada uno? b) Una vez repartido el refresco llego Benjamín a quien van a convidarle. ¿Cuánto debe convidarle cada uno para que los cuatro tengan la misma cantidad de refresco?

Answers

Answer 1

Answer:

a) A Antonio, Lucas y Darío le corresponde cada uno [tex]\frac{5}{6}[/tex] litros.

b) Antonio, Lucas y Benjamín deben convidar cada uno [tex]\frac{5}{24}[/tex] litros.

Step-by-step explanation:

a) Antonio, Lucas y Darío compraron un refresco, el cual reparten en tres partes iguales. Por tanto, la fracción de litro para cada persona es la capacidad del refresco dividido por el número de personas. Es decir:

[tex]x = \frac{\frac{5}{2}\,L }{3}[/tex]

[tex]x = \frac{5}{6}\,L[/tex]

A Antonio, Lucas y Darío le corresponde cada uno [tex]\frac{5}{6}[/tex] litros.

b) En primer lugar calculamos la fracción correspondiente a cuatro personas:

[tex]x = \frac{\frac{5}{2}\,L }{4}[/tex]

[tex]x = \frac{5}{8}\,L[/tex]

Ahora, procedemos a calcular la diferencia entre el escenario calculado en a) y el resultado anterior:

[tex]\Delta x = \frac{5}{6}\,L-\frac{5}{8}\,L[/tex]

[tex]\Delta x = \frac{40-30}{48} \,L[/tex]

[tex]\Delta x = \frac{10}{48}\,L[/tex]

[tex]\Delta x = \frac{5}{24}\,L[/tex]

Este resultado corresponde a la fracción que Antonio, Lucas y Darío deben convidar cada uno a Benjamín. Entonces, Antonio, Lucas y Benjamín deben convidar cada uno [tex]\frac{5}{24}[/tex] litros.


Related Questions

Vanessa bought a 30 pound bag of rice she cooked 7.5 pounds of the rice she stores the rest of the rice in 4.5 pound portions what is the maximum number of portions she stored

Answers

Given :

Vanessa bought a 30 pound bag of rice she cooked 7.5 pounds of the rice she stores the rest of the rice in 4.5 pound portions.

To Find :

The maximum number of portions she stored.

Solution :

Let, number of portions she stored is n.

Amount of rice left, A = 30 - 7.5 = 22.5 pounds.

Now, number of portions of 4.5 pounds she stored :

[tex]n = \dfrac{22.5}{4.5}\\\\n = 5[/tex]

Therefore, maximum number of portions she stored is 5.

Hence, this is the required solution.

y = 4x + 2 :) help please

Answers

Answer:

This equation is already complete to its maximum stage.

Step-by-step explanation:

If you want other possibilities of this equation here:

y - 2 = 4x

4x = y - 2

x = [tex]\frac{y - 2}{4}[/tex]

Hope this helps!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer: Not enough info

Step-by-step explanation:

Need help ASAP! If IN=2x+10 and AT=26, find x.

A.) 12
B.) 10
C.) 6
D.) 8

Answers

Answer:

X=8

The three lines means that IN and AT are equal so IN must equal 26. 2(8)=16 and 16+10=26

Solve for n, 4 x n = 7 x 16

Answers

Answer:

n=28

Step-by-step explanation:

Do I have to explain how i got the answer?

Answer:

4n=112

n=112/4

n=28

Step-by-step explanation:

Please give me brainliest, if I helped you

Use square roots to solve the equation x^2 = −25 over the complex numbers. Enter your answers in numerical order.

Answers

Answer:

Step-by-step explanation:

x^2= -25

x=5i and -5i

Answer:

The answer is 5

Step-by-step explanation:

x^2= -25

x=√-25

x=5

help with math hw please

Answers

Answer:

x = 4

Step-by-step explanation:

All of the sides are the same so every angle is 17x-8.

Every triangle adds up to 180 degrees.

3(17x-8)=180

51x-24=180

    +24  +24

51x=204

 x= 4

2x+7y =3
x= -4y

x=
y=

Answers

Answer:

Y=2

x=7

but they all equal 3

Y = -3
X = 12

Substitute the second equation into the first to get y and then using that you can work out x :)

(GR.7MATH)

Can somebody plz answer all of these correctly.. I’m a little confused :)
(OnLy answer if u done it before)
WILL MARK BRAINLIEST)

Answers

Answer:

kkajjjssnensi

Step-by-step explanation:

hdhdb

jakakke

jjwjne

kakam

Answer:

31. -12, -2

32. 6, -3

33. -4, 4

34. 8, 1

35. -6, 2

36. -3, 2

37. -6, -5

38. 8, -9

39. 7, 0

Step-by-step explanation:

31. -12 + -2 = ‐14 and -12 x -2 = 24

32. 6 + -3 = 3 and 6 x -3 = -18

33. -4 + 4 = 0 and -4 × 4 = -16

34. 8 + 1 = 9 and 8 x 1 =8

35. -6 + 2 = -4 and -6 x 2 = -12

36. -3 + 2 = -1 and -3 x 2 = -6

37. -6 + -5 = -11 and -6 x -5 = 30

38. 8 + -9 = -1 and 8 x -9 = -72

39. 7 + 0 = 7 and 7 x 0 = 0

The temperature at midnight was −11°C. By midday, the temperature was 5°C.

What was the temperature during the morning?
Explain what method you used to find the temperature change.

Answers

Answer:

-3 celcius

Step-by-step explanation:

Answer:

6 ℃

Step-by-step explanation:

by substacring u will see it

1. The slope of the line below is 2. Write the equation of the line in point-slope form using the coordinates of the
labeled point.

Answers

Answer:

y=2x

Step-by-step explanation:

Joshep drove his grandmother’s house which is 252 miles away in 3.5 hours. If he continues at the same speed,approximately how long will It take him to drive 315 miles?

Answers

Answer:

72 hours

Step-by-step explanation:

HELP
1.75^-0.5
(3/2)^2.4

Answers

Answer:

first off i just want to say i hate aleks but ill still give the answer

Step-by-step explanation:

1.75^-0.5 = 0.75592894

3/2^2.4 = 2.6461778

The shadow of an object varies directly with its height.The shadow of a 25 ft trees is 6 ft.How long is the shadow of an 18 ft tree

Answers

Answer:

Well i got 4.32 but im not completely sure

Step-by-step explanation:

What is 3x-4y=10 on a graph

Answers

Answer:

Step-by-step explanation:

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

Answers

Answer:

106°

Step-by-step explanation:

they are parallel to each other

Answer: 106

Step-by-step explanation:

A and B are postive integers such that 1/a + 1/b +1/ab = 1. Find ab

Answers

Answer: ab =6

have:

[tex]\frac{1}{a}+\frac{1}{b}+\frac{1}{ab}=1\\\\=>\frac{b}{ab}+\frac{a}{ab}+\frac{1}{ab}=1\\\\<=>\frac{a+b+1}{ab}=1[/tex]

=> a + b + 1 = ab

⇔ a + b + 1 - ab = 0

⇔ b - 1 - a(b - 1) + 2 = 0

⇔ (b - 1)(1 - a) = -2

because a and b are postive integers => (b - 1) and (1 - a) also are integers

=> (b - 1) ∈ {-1; 1; 2; -2;}

(1 -a) ∈  {-1; 1; 2; -2;}

because (b -1).(1-a) = -2 => we have the table:

b - 1        -1             1              2             -2

1 - a         2            -2            -1              1

a              -1            3             2              0

b              0            2             3              -1

a.b            0           6             6               0

because a and b  are postive integers

=> (a;b) = (3;2) or (a;b) = (2;3)

=> ab = 6

Step-by-step explanation:

After some snacks at McDonalds at Lower Bonifacio Street, Kristina drove 145 meters towards the three-way junction and turns right to reach a nearby church around Rimando Road. If the displacement between the church and McDonalds is 191.442 meters, how far did Kristina travel from the three-way junction to the church?

Answers

Answer:

125 m

Step-by-step explanation:

The path of Kristina is in the shape of a right triangle where, the perpendicular is the path from the McDonalds to the three-way junction which is 145 m and the shortest distance between the McDonalds and the church is 191.442 m.

By Pythagoras theorem

[tex]145^2+x^2=191.442^2\\\Rightarrow x=\sqrt{191.442^2-145^2}\\\Rightarrow x=125\ \text{m}[/tex]

Christina had to travel 125 m from the three-way junction to the church.

The distance Kristina travelled from the three-way junction to the church is; x = 125 meters

     We are told that she drove 145 meters towards the three way junction. She now turned right to reach a nearby church around rimando road.

This means that if the distance at which she turned right is x, then x is perpendicular to 145 m.

     Now, we are told that the displacement between the church and McDonalds is 191.442 meters.

The displacement means the distance from the final position to the initial position. Thus, there will form a right angled triangle with 191.442 as the hypotenuse.

Using Pythagoras theorem, we have;

x² + 145² = 191.442²

x² = 191.442² - 145²

x² = 15625.039364

x = √15625.039364

x = 125 meters

Read more at; https://brainly.com/question/20530468

A landlord owns 3 condominiums, a l-bedroom condo, a 2-bedroom condo, and a 3-

bedroom condo. The total rent she receives is $1240. She needs to make repairs on the

condos, and it costs 10% of the 1-bedroom condo's rent for its repairs, 20% of the 2-

bedroom for its repairs, and 30% of the 3-bedroom condo's rent for its repairs. The total

repair bill was $276. The 3-bedroom condo's rent is twice the 1-bedroom condo's rent.

How much is the rent for all three condos? Define your variables then write and solve a

system of equations.

Answers

Answer:

1 bedroom = $280

2 bedroom = $400

3 bedroom = $560

Step-by-step explanation:

Given that :

Total rent received = 1240

Rent amount of 3 bedroom = 2 times rent of 1 bedroom

Let 1 bedroom = x

2 bedroom = y

3 bedroom = 2x

x + y + 2x = 1240

3x + y = 1240 ---(1)

Repair cost :

10% of x = 0.1x

20% of y = 0.2y

30% of 2x = 0.6x

0.1x + 0.2y + 0.6x = 276

0.7x + 0.2y = 276 - - - (2)

From (1)

y = 1240 - 3x

0.7x + 0.2(1240 - 3x) = 276

0.7x + 248 - 0.6x = 276

0.1x + 248 = 276

0.1x = 28

x = $280

1 bedroom = $280

3 bedroom = $280 * 2 = $560

2 bedroom = $1240 - $840 = $400

2. If mZ1 = 71 degrees, find the measure of the other 7 angles.

Answers

The measure of angles 1,4,5,8 are congruent meaning they’re the exact same. If angle 1 measures 71 degrees then that means that 4,5,8 also measure 71 degrees. Angles 1&2 are supplementary angles which means their sum is 180. Since we know that angle 1 measures 71 then we can find the measure of angle 2 by 71+x=180 and solve for x (angle 2) which is 109
Angles 2,3,6,7 are congruent which means they also equal 109
*** angles 1,4,5,8 = 71
Angles 2,3,6,7 = 109***

The measure of the other 7 angles are;

m∠2 = m∠3 = 109°; m∠4 = m∠5 = m∠8  = 71°;  m∠6 = m∠7 = 109°

We are given;

m∠1 = 71°

Thus;

m∠1 and m∠2 are angles that form a straight line and as such they are supplementary angles and sum up to 180°

Thus; m∠1 + m∠2 = 180°

71 + m∠2 = 180°

m∠2 = 180 - 71

m∠2 = 109°

Now, m∠2 and m∠3 are alternate angles and as such;

m∠2 =  m∠3

Thus; m∠3 = 109°

Similarly,

m∠1 and m∠4 are alternate angles and as such;

m∠1 =  m∠4

Thus;

m∠4 = 71°

m∠1 and m∠5 are corresponding angles and as such;

m∠1 =  m∠5

Thus;

m∠5 = 71°

m∠2 and m∠6 are corresponding angles and as such;

m∠2 = m∠6

Thus;

m∠6 = 109°

Similar to how angles were gotten earlier, we can say that;

m∠5 = m∠8  = 71°

and m∠6 = m∠7 = 109°

Read more at; https://brainly.com/question/17147541

20 points and brainliest.

Answers

Answer:

c.

Step-by-step explanation:

f(x)=3x+5

y=3x+5

x=3y+5

x-5=3y

y=(x-5)/3

y=1/3x-5/3

Tara has already run 7 miles on her own, and she expects to run 1 mile during each track
practice. How many track practices would it take for Tara to run 23 miles?
Explain please

Answers

Answer:

15 track practices

Step-by-step explanation:

because 23 minus the 7 she already ran is 15 which she runs 1 each practice

Answer:

16

Step-by-step explanation:

because if you minus 7 from 23 you get 16 so she would have to have 16 practices

what is 3.14 times 5 divided by 7​

Answers

Answer:

[tex] \huge{ \boxed{ \bold{ \boxed{ \tt{2.24}}}}}[/tex]

Question : 3.14 times 5 divide by 7

: [tex] \sf{3.14 \times \frac{5}{7 }} [/tex]

Step by step explanation :[tex] \bold{ \sf{3.14 \times \frac{5}{7}}} [/tex]

To multiply one fraction or number by another fraction , multiply the numerators for the numerator, and multiply the denominator for it's denominator.

➺ [tex] \bold{ \sf{ \frac{3.14 \times 5}{7}}} [/tex]

➺[tex] \bold{ \sf{ \frac{15.7}{7}}} [/tex]

➺[tex] \bold{ \boxed{ \sf{2.24}}}[/tex]

Hope I helped !

Have a wonderful time ! ッ

~TheAnimeGirl

Will give BRAINLIEST The two points and (–3, –2) and (4, 8) are part of a line with a slope of:

Answers

Answer:

slope of 10/1 or simplified to 10

Step-by-step explanation:

Answer:

slope is 10/7

Step-by-step explanation:

use the formula or plot the points on a graph to get the slope is 10/7

Surprising survey revealed that 32% of the 475 girls at mason Junior high school were left handed, while only 12% of the 525 boys were left handed. Which is closest to the number of left-hander girls at mason Junior high school?

Answers

Answer: See explanation

Step-by-step explanation:

You didn't give the options but let.me solve the number of left handed girls and you then choose the closest answer to the value that I get.

Surprising survey revealed that 32% of the 475 girls at mason Junior high school were left handed. Therefore, the number of left handed girls will be:

= 32% × 475

= 32/100 × 475

= 0.32 × 475

= 152 left handed girls

Determine o valor do termo representado pela incógnita nas proporções a seguir.

a) x6= 32

b) 15= 4y

c) 2x+39= 57

Me ajudem pelo amor de deus

Answers

Answer:

a. x6= 32

x = 32/6

x = 5.33

b. 15 = 4y

4y = 15

y = 15/4

y = 3.75

c. 2x+39= 57

2x = 57 - 39

x = (57 - 39)/2

x = 9

It rained all day on Mother's Day and the temperature dropped fourteen and seven tenth degrees. The next day the rain stopped and the temperature rose ten and nine tenths degrees. If the temperature at the beginning of Mother's Day was sixty five and eight tenths degrees, what was the temperature at the end of the day after Mother's Day?

Answers

Answer: The temperature was 1 8/10º at the end of the day after Mother's Day

Step-by-step explanation:

5 8/10º-14 7/10º=-9 1/10º at the end of Mother’s Day

-9 1/10º+10 9/10º=1 8/10º at the end of the next day after Mother’s Day

It rained all day on Mother's Day and the temperature dropped fourteen and seven tenth degrees. The next day the rain stopped and the temperature rose ten and nine tenths degrees. If the temperature at the beginning of Mother's Day was sixty five and eight tenths degrees, what was the temperature at the end of the day after Mother's Day?
Write numerical answer only (no sentences, no units) i need help ASAPPP!! I'll give brainliest

Answers

work it out

Step-by-step explanation:

3y + 2 = -6x

in slope-intercept form : y=mx+b
oh and please show work! Thank youuu

Answers

The answer is y = -2/3x -2

Just have to Subtract two on both sides the. Divide all numbers by 3

Could you please mark me brainleist

Answer:

y= -2x- [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

3y+2=-6x

3y=-6x-2

y= [tex]\frac{-6}{3}[/tex]x - [tex]\frac{2}{3}[/tex]

y= -2x - [tex]\frac{2}{3}[/tex]

You isolate for y in this example by moving the 2 to the other side and then dividing the -6x and -2 by 3 to get the y by itself.

please I need help I will mark brainiest

Answers

Answer:

sorry i looked and i tried, but i dont know the answer.

Step-by-step explanation:

What is the radius of a circle that has a circumference of 3.14 meters?

Answers

Answer:

r≈0.5m

Step-by-step explanation:

she was right

Answer:

r≈0.5m

Step-by-step explanation:

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