7.
x =
y=

8.
x =
y =

Considerando la definición de una ecuación, Benjamín cuenta con una cantidad de dinero de 66.67 pesos.

Una ecuación es la igualdad existente entre dos expresiones algebraicas conectadas a través del signo de igualdad en la que figuran uno o varios valores desconocidos, llamadas incógnitas, además de ciertos datos conocidos.

Los miembros de una ecuación son cada una de las expresiones que aparecen a ambos lados del signo igual.

En este caso, "el doble del dinero que tengo más la mitad de esa cantidad es 200 pesos" puede ser expresado mediante una ecuación, donde consideras que "x" es la incógnita, que representa la cantidad de dinero que tiene Benjamín.

Teniendo en cuenta que la mitad de un número se calcula dividiendo el número por 2, mientras que el doble de un número se calcula multiplicando el número por 2, entonces:

Entonces, la ecuación queda expresada como:

2x + x= 200

Resolviendo:

3x= 200

x=200÷3

x= 66.67

Finalmente, Benjamín cuenta con una cantidad de dinero de 66.67 pesos.

Aprende más sobre ecuaciones con estos ejemplos:

Answer:

11.181

Step-by-step explanation:

Divide each digit of the dividend with the divisor starting from left to right. Bring down the next digit after each step as shown below:

1.

0      

1 1  1 2 3 .    

− 0      

1      

Divide 1 by 11. Write the remainder after subtracting the bottom number from the top number.

2.

0 1      

1 1  1 2 3 .    

− 0      

1 2      

− 1 1      

1      

Bring down next digit 2. Divide 12 by 11. Write the remainder after subtracting the bottom number from the top number.

3.

0 1 1    

1 1  1 2 3 .    

− 0      

1 2      

− 1 1      

1 3    

−  1 1    

2    

Bring down next digit 3. Divide 13 by 11. Write the remainder after subtracting the bottom number from the top number.

4. Put the decimal point.

5.

0 1 1 . 1  

1 1  1 2 3 . 0  

− 0      

1 2      

− 1 1      

1 3    

−  1 1    

2  0  

−   1  1  

9  

−        

Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down next digit 0. Divide 20 by 11. Write the remainder after subtracting the bottom number from the top number.

6.

0 1 1 . 1 8  

1 1  1 2 3 . 0 0  

− 0      

1 2      

− 1 1      

1 3    

−  1 1    

2  0  

−   1  1  

9 0  

−     8 8  

2  

−        

Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down next digit 0. Divide 90 by 11. Write the remainder after subtracting the bottom number from the top number.

7.

0 1 1 . 1 8 1

1 1  1 2 3 . 0 0 0

− 0      

1 2      

− 1 1      

1 3    

−  1 1    

2  0  

−   1  1  

9 0  

−     8 8  

2 0

−      1 1

9

−        

Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down next digit 0. Divide 20 by 11. Write the remainder after subtracting the bottom number from the top number.

End of long division (upto 3 decimal places).

123 ÷ 11 = 11.181

(Sorry If I made this to confusing)

Answer:

Hello, your

Step-by-step explanation:

For this particular problem (with units in mind), the formula for arc length is

Arc length

=

2

π

r

⋅

(

x

360

∘

)

,

Where

x

is the central angle measure and

r

is the radius of the circle.

You don't really have to work too hard to remember this formula. The arc length formula is easy to remember because it is just the circumference of the circle times the central angle over

360

∘

.

Anyway, let's continue with the problem. We are given that the central angle is

60

∘

, and that

r

, our radius, is

9

feet. So, let's plug that into our equation to find the arc length, in feet:

Arc length

=

2

π

r

⋅

(

x

360

∘

)

Arc length

=

2

π

(

9

)

⋅

(

60

∘

360

∘

)

Now, you might be tempted to plug this in your calculator, but let's simplify it a little bit more.

Arc length

=

2

π

(

9

)

⋅

(

60

∘

360

∘

)

Arc length

=

18

π

⋅

(

1

6

)

Arc length

=

3

π

feet

So, if you wanted an exact answer, it would be that the arc length is

3

π

feet

. If you wanted an approximate answer, then you can type

3

times

π

in your calculator to get a value of about

9.425

feet

as you alternative answer.

I hope that helps!

To solve x, you need to isolate the variable with the following steps.

-10 + 3x > -4

3x > 6                  Add 10 to both sides.

x > 2

The solution is x > 2, or answer II and III.

r = 60 gallons ÷ 5 min. = 12 gallons per minute

[tex]60 \div 5 = 12 \: gallons \: per \: minute[/tex]

Hope that will help:)

Answer:

E: 105

F: 50

G: 45

Step-by-step explanation:

Answer:

e f g

Step-by-step explanation:

cause my brother helped

his strategy is to do it in parts. 10x7 is a little easier since anything x 10 just gets a 0 on the end of it. so 10x7=70 then he subtracted 7 to get the answer to 9x7 which is 63

Answer:

4 or -4

plz brainlist if right

Step-by-step explanation:

Answer:

6,564

2,184

60

−2,184

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

4+3+1+3+4+3+1+3=24

Answer:

x=6 and y=0

Step-by-step explanation:

1. 15-3=12

2. 12÷2=6 6=x

3. 6-6=0 0=y

Answer:

216 boxes

Step-by-step explanation:

you can see by the highlighted point that in 5 hours 60 boxes are shipped. that means 12 boxes per hour (60/5=12)

When you know this just multiply the hours by 12 and you get 12*18=216

Answer:

x = 24

Step-by-step explanation:

According to the vertical angles rule, x - 17 = 180 - (7x + 5) or x - 17 = 180 - 7x -5 and when we solve for x we get x = 24

Answer:

h(1.5) = 7.3 ft

h(10.3) = 24.9 ft

Step-by-step explanation:

Given the function h(d) = 2d + 4.3,

where:

h = height of the water in a fountain (in feet)

d = diameter of the pipe carrying the water (in inches)

Substitute the input value of d = 1.5, into the function:

h(1.5) = 2(1.5) + 4.3

h(1.5) = 3 + 4.3

h(1.5) = 7 feet

The height of the water in a fountain is 7 feet when the diameter of the pipe is 1.5 inches.

Substitute the input value of d = 10.3, into the function:

h(10.3) = 2(10.3) + 4.3

h(10.3) = 20.6 + 4.3

h(10.3) = 24.9 feet

The height of the water in a fountain is 24.9 feet when the diameter of the pipe is 10.3 inches.

The solutions to both functions show the relationship between the diameter of the pipe to the height of the water in a fountain.  The height of the water in fountain increases relative to the diameter of the pipe.  In other words, as the diameter or the size of the pipe increases or widens, the height of the water in a fountain also increases.  

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Answer:

x³+y³+z³=k

Explanation:

I talk, he talk, why you middle talk? You rotate the ground 4 times. You go and understand the tree.  I'll give you clap on your cheeks. Bring your parents and your mother and especially your father.  Close the window airforce is coming. I have two daughters and both are girls. Stand in a straight circle. Don't stand in front of my back

Answer:

DE is 4 units long.

Step-by-step explanation:

These are the 30-60-90 triangle side relationships:

We are given the long leg and need to find the short leg. As seen above, the relation ship between those sides is:

[tex]S*\sqrt{3}=L[/tex]

or:

[tex]L \div \sqrt3 =S[/tex]

Given the long leg, divide it by √3 to find the short leg.

[tex]4\sqrt3 \div \sqrt3 = 4[/tex]

The short leg is 4 units long.

Answer:

19 1/8

Step-by-step explanation:

Look at the picture

,..............................................

Answer:

I think a or b

Step-by-step explanation:

hope it help ok

Answer:

∠EGF = 1/2( 180 - 50) = 1/2(130) = 65

∠CGF = 180 - 65 = 115.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Two angles are supplementary, that means their sum is equal to 180 degrees

3e - 4 + e + 8 = 180 add like terms

4e + 4 = 180 subtract 4 from both sides

4e = 176 divide both sides by 4

e = 44

Answer:

4th option

Step-by-step explanation:

We require to find the 3rd angle in the triangle, that is

third angle = 180° - (75 + 50)° = 180° - 125° = 55°

Using the Sine rule in the triangle

[tex]\frac{x}{sin75}[/tex] = [tex]\frac{13}{sin55}[/tex] ( cross- multiply )

x × sin55° = 13 × sin75° ( divide both sides by sin55° )

x = [tex]\frac{13sin75}{sin55}[/tex]

Answer:

"1/2y+3.2y=20" One solution

"15/2+2z-1/4=4z+29/4-2z" Infinitely many solutions

"3z+2.5=3.2+3z" No solution

"1.1+3.4x+2=3.1+3/4x" infinitely many solutions

"4.5r=3.2+4.5r" No solution

"2x+4=3x+1/2" one solution

To determine the number of solutions for each equation in the given image, we need to analyze each equation separately. Let's go through each equation and identify whether it has one solution, infinitely many solutions, or no solution.

Equation 1: 3x - 2y = 6 Equation 2: 6x - 4y = 12 Equation 3: 2x - y = 3

To find the solutions, we can use the method of substitution or elimination.

First, let's consider Equation 1: 3x - 2y = 6

If we rearrange this equation to solve for y, we get: y = (3x - 6) / 2

Now, let's examine Equation 2: 6x - 4y = 12

If we rearrange this equation to solve for y, we get: y = (6x - 12) / 4 y = (3x - 6) / 2

Comparing the two equations for y, we can see that they are the same. This means that Equation 1 and Equation 2 represent the same line.

In other words, they have infinitely many solutions.

Any point on the line formed by these equations satisfies both equations simultaneously.

Moving on to Equation 3: 2x - y = 3 If we rearrange this equation to solve for y, we get: y = 2x - 3

This equation represents a line with a specific slope and y-intercept. Since it is different from the line represented by Equation 1 and Equation 2, we can conclude that Equation 3 has one solution.

This means that there is a unique point of intersection between Equation 3 and the other two equations.

In summary: - Equation 1 and Equation 2 have infinitely many solutions since they represent the same line.

- Equation 3 has one solution since it intersects the other two equations at a unique point.

To know more about equation here

https://brainly.com/question/29174899

#SPJ2

Answer:

4.9 = 490%

15.27% = .1527

Step-by-step explanation:

1. To convert a decimal into a percentage, you multiply the decimal by 100.

2. (Solving)

4.9:

15.27%:

Therefore, the answers are 490% and .1527.

Answer: 490% and .1527

Step-by-step explanation:

Decimal to percentage: move decimal place 2 spaces to the left

Percentage to decimal: move decimal 2 space to the right

Answer: x=-12

Step-by-step explanation:

subtract 12 from both sides

3x=2x-12

subtract 2x from both sides

x=-12

Subtract 12 from both sides of the equation:

3x + 12 = 2x

3x + 12 - 12 = 2x - 12

Simplify:

3x = 2x - 12

Subtract 2x from both sides of the equation:

3x = 2x - 12

3x-2x = 2x  - 12-2x

Simplify:

combine like terms --> multiply by 1 --> combine like terms

x = -12 <-- ANSWER

Answer:

7 is isosceles so x= 55 bc the other angle is. 8 is isosceles so x= 68 and 9 is right angle all angles in a triangle add up to 180 so 180-90 /2 = 45 so x=45

Answer:

thats easy  its 52 but you have to -

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:its the only ratio

Answer: 0 because they are just in the opposite order, and order doesnt matter.

im srry if its wrong

Step-by-step explanation:

Answer:

$21 . 30

Step-by-step explanation:

Money spent on dinner  =$ 63.90

Money paid by each of the 3 friends = 63.90 ÷ 3 = $ 21.30

Answer:

Barrack Obama?

Step-by-step explanation:

Former president Obama's full name is Barack Hussein Obama II

Answer:

barack

Step-by-step explanation: