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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.

Answer:

-0.02, -0.15, -0.2, -1.2

Step-by-step explanation:

The closer a negative number is to 0, the greater it is.

Answer:

-0.15,-0.02,-0.2,-1.2

I hope this helps

Answer:9

Step-by-step explanation:

-2x+8=-10

-2x=-18

X=9

Answer:

9

Step-by-step explanation:

Subtract

8

8

8

from both sides of the equation

−

2

+

8

=

−

1

0

-2x+8=-10

−2x+8=−10

−

2

+

8

−

8

=

−

1

0

−

8

-2x+8{\color{#c92786}{-8}}=-10{\color{#c92786}{-8}}

−2x+8−8=−10−8

2

Simplify

3

Divide both sides of the equation by the same term

4

Simplify

Solution

=

9Subtract

8

8

8

from both sides of the equation

−

2

+

8

=

−

1

0

-2x+8=-10

−2x+8=−10

−

2

+

8

−

8

=

−

1

0

−

8

-2x+8{\color{#c92786}{-8}}=-10{\color{#c92786}{-8}}

−2x+8−8=−10−8

2

Simplify

3

Divide both sides of the equation by the same term

4

Simplify

Solution

=

9

Step-by-step explanation:

sum of angles in triangle is 180

so 80 + 40 + angle 2 = 180 angle 2 = 60

Answer:

The answer is 48 miles.

My Logic

If you divide 264 into 11, then you will get 24. 24 is the cars MPG. Then you can Multiply 24 by 2 and you get the answer. Hope this is helpful!

Answer:

6 rows

Step-by-step explanation:

We know that 48 desks are split up into rows of 8

If we divide the 48 total desks by the 8 desks in each row... we find the number of rows.

48/8 = 6

Answer:

2/3 of the jar was filled with flour

Step-by-step explanation:

The question is incomplete. Here is the complete question.

A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.

Given

Amount a jar can hold a = 3/4 of a pound of flour

If Austin empties 1/2 of a pound of flour into the jar, then the amount emptied into the jar b = 1/2 pounds

Fraction of jar filled will be expressed as b/a as shown;

b/a = (1/2)/(3/4)

b/a = 1/2 ÷ 3/4

b/a = 1/2 * 4/3

b/a = 4/6

Simplify to the lowest term

a/b = 2*2/2*3

a/b = 2/3

Hence 2/3 of the jar was filled with flour

Answer:

i cant do dat because im broke sorry

Step-by-step explanation:

Answer:

One solution at (-4, -22)

Step-by-step explanation:

5x - y = 2

y = 5x - 2 --(1)

2x - 0.5y = 3 --(2)

sub (1) into (2):

2x - 0.5(5x - 2) = 3

2x - 2.5x + 1 = 3

-0.5x = 2

x = -4

when x = -4, y = 5(-4) - 2 = -22

The nature of the solution set to the system of equations are,

⇒ One solution at (-4,-22).

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equations are,

5x - y = 2   .. (i)

2x - 0.5y = 3  .. (ii)

Now, We can simplify as;

From (i);

5x - y = 2

y = 5x - 2

Put above value in (ii);

2x - 0.5 (5x -2) = 3

2x - 2.5x + 1 = 3

- 0.5x = 2

x = - 4

From (i);

y = 5 × - 4 - 2

y = - 20 - 2

y = - 22

Thus, The nature of the solution set to the system of equations are,

⇒ One solution at (-4,-22).

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Answer:

The equation =3 is equivalent to = 0 +3. From this form, we know the line has slope =0.

Step-by-step explanation:

Answer:

ax + by = c

Step-by-step explanation:

The standard form of the line is

ax + by = c; where a, b and c are numbers

Also a and b are coefficients are not zero so there are x and y terms.

Answer: -3

Step-by-step explanation:

Answer:

9.5 = y

Step-by-step explanation:

You have to use the cosine function equation.

cos(38) = [tex]\frac{y}{12}[/tex]

Multiply 12 on both sides.

12cos(38) = y

Solve.

9.46 = y

Answer:

9.5

Step-by-step explanation:

y is the adjacent side of the given 38 degree angle. You are given the hypotenuse of right angle triangle. So the trig function that you need to use is the Cosine

Cos(38) = y / 12

multiply both sides by 12

12*cos(38) = 12*y/12

12*cos(38) = y

12*0.7880= y

y =9.456

Answer:

14

Step-by-step explanation:

7-3 = 4 4+10=14 therfore 14 would be the answer hope this helps

Answer:

There is no slope, it is undefined and the line would continue to go up from the position x= -9

brainliest if correct please

Answer:

8.9 minutes

Step-by-step explanation:

Converting Everly Kilometer race to miles

1 km = 0.621 miles

10 km =

10 × 0.621 miles

= 6.21 miles

Hence,

6.21 miles = 55 minutes

1 mile = x minutes

Cross Multiply

6.21 × x = 55 × 1

x = 55 minutes/6.21

x = 8.8566827697 minutes

Approximately = 8.9 minutes

Answer:

m∠KHL = 43°

Step-by-step explanation:

From the picture attached,

m∠KHL ≅ m∠GHL [Given in the picture]

Now substituting the values of the angles,

(3x + 1) = (5x - 27)

1 + 27 = 5x - 3x

28 = 2x

14 = x

m∠KHL = (3x + 1)° = (3 × 14) + 1

                             = 42 + 1

                             = 43°

Therefore, measure of ∠KHL = 43°

Answer:

The number is 39

Step-by-step explanation:

Let the unknown number be x:

[tex](x-(-15))=2(x-24)\\x+15=2x-24\\39=x\\\therefore x=39[/tex]

24kx = 6

kx = 6/24

kx = 1/4

x = 1/4/k

x = 1/4k

A) X = 1/4k or the first option.

Answer:

X=+2^5 A

Step-by-step explanation:

Answer:

ITS THE SECOND ONE

Step-by-step explanation: