En un grupo de 51 alumnos se realizo una votación para elegir al jefe de grupo entre tres candidatos: Cesar, Karina y Sebastián, los cuales no podrán participar en la votación se sabe que Sebastián obtuvo la mitad de votos que obtuvo Cesar y Karina obtuvo 8 votos menos que él. Si hubo 6 abstenciones. ¿Cuántos votos obtuvo cada uno de ellos?.

Hello!

[tex]\large\boxed{f(x) = 3x - 28}[/tex]

If f(x) = g(x)-10, substitute in the equation of g(x) to solve for f(x):

f(x) = (3x - 18) - 10

Simplify:

f(x) = 3x - 28

Answer:

Sup

Step-by-step explanation:

Answer: the slope is one

Step-by-step explanation:

Sorry for the late answer but you better reply ;w;

To my recent question

Please..? I was busy tbh

Answer:

not sure

Step-by-step explanation:

Answer:

27, 20, 60

Step-by-step explanation:

We use the equation

(x) + (x - 7) + (3 * (x - 7)) = 107

= x + x - 7 + 3 * (x - 7) = 107

= 2x - 7 + 3(x - 7) = 107

Add  7 on both sides

= 2x + 3(x - 7) = 114

Expand the 3

= 2x + 3x - 21 = 114

= 5x - 21 = 114

Add 21 on both sides

= 5x = 135

Divide 5 on both sides

= 5x/5 = 135/5

= x = 27

Plug the functions in

(27) + (27 - 7) + (3 * (27-7)) = 107

You would get

27 + 20 + 60 = 107, therefore the numbers are 27, 20, 60

Answer:

y > 1

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define inequality

3(y - 2) + 4(3 - 2y) < 6(3y - 1) - 11y

Step 2: Solve for y

Here we see that any number y greater than 1 would work as a solution.

Answer:

B =4

Step-by-step explanati

Answer:

y = 6x + 22

General Formulas and Concepts:

Pre-Alg

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Point (-3, 14)

Point (-1, 16)

Step 2: Find slope m

Step 3: Find y-intercept b

Step 4: Write linear equation

y = 6x + 22

Answer:

Step-by-step explanation:

1 .

2.

Combined answer

Answer:

£395

Step-by-step explanation:

call out fee = 35

30 per hour = 2 hour to be = 60

but, 12 minutes in hour = 12/60 = 0.2

0.2 = 0.2*30 = 6

2 hours and 12 minutes would be charges as

30 + 6 = 36

36*10 = 360

call out fee + per hour = 35 + 360 = 395

Answer:

Step-by-step explanation:

given that both angles are the same, it is an equilateral right triangle.

we can use Pythagorean's theorem

[tex]a^2 + b^2 = c^2\\(\sqrt{6})^2+(\sqrt{6})^2= c^2\\ 12 = c^2 \\c = \sqrt{12} = \sqrt{4*3} = 2\sqrt{3}[/tex]

Answer:

15 small boxes and 5 big boxes

Step-by-step explanation:

5 x 3 = 15

15 x 35 = 525

5 x 65 = 325

525 + 325 = 850

Answer:

m∠A =

A. 66°

Step-by-step explanation:

∠C = ∠B

57 + 57 = 114

∠A = 180 - 114 = 66

Answer:

34 ice cream cones

Step-by-step explanation:

1.20 - .43 = .77

26 - .77 n > 0

n > 33.77

Answer:

55 degrees

Step-by-step explanation:

one triangle has 180 degrees

deg=35 degrees so subtract 35 from 180=145 dgrees.

the square at the bottom center means a 90 degree angle, so subtract 90 from 145=55

Answer:

I think it is 4 to 3

Step-by-step explanation:

if I am wrong I'm sorry

Answer:

4-3

Step-by-step explanation:

Answer:

15 mm per case is the answer. The full answer is 195 mm.

Step-by-step explanation:

hope this helps:)

Answer:

x is an unknown quantity whose value is determined based on any algebraic equation it is used in.

Step-by-step explanation:

Answer:

1. B

2. C

3. C

Step-by-step explanation:

Answer:

1. D: 6      2.A:y=0.1x + 2      3.C

Step-by-step explanation:

1. In y = mx + b, b represents the y-intercept. The equation is alreayd in y = mx +b, so we can see that 6 is b, making it the y-inetrcept.

2. A is the only one written in slope intercept form, or y = mx + b.

3. -8x + 4y = 10 written in slope intercept form is y  = 2x + 5/2. The slope is shown by 2.

Answer:

a is a linear equation

Step-by-step explanation:

Answer:

(-4+3, -3) = (-1,-3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

21=1/2 so if thats 21 the answer would be 2/3=34

Answer:

9.2

Step-by-step explanation:

THE POWER OF MULTIPLICATION

Answer:

y = - [tex]\frac{9}{5}[/tex] x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{9}{5}[/tex] and c = - 4 , thus

y = - [tex]\frac{9}{5}[/tex] x - 4 ← equation of line

The number is -56. To find your answer, multiply -7 and 8, which leaves us with -56. From there, check the work by dividing -56 by -7, resulting in 8. Hope this helps! Have an amazing rest of your day and please mark brainliest. xx

Answer:

The answer is c because 20(20) + 60 = 460 and if you plug in the number of rows for x and add the 60 you would always get the number of seats value.

The correct equation for the number of seats with respect to the number of rows will be;

s = 20r + 60

Where, s is number of seats and r is number of rows.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the power one.

Given that;

The chart shows the number of rows in an auditorium and the total number of seats.

Since, The equation is satisfy the given numbers in chart.

So, Let an equation for chart;

s = 20r + 60

Where, s is number of seats and r is number of rows.

Now, Substitute the value of r = 20 for the number of first rows in above equation we get;

s = 20 × 20 + 60

s = 400 + 60

s = 460

And, For second row, r = 45

s = 20 × 45 + 60

s = 900 + 60

s = 960

Thus, The correct equation for the number of seats with respect to the number of rows will be;

s = 20r + 60

Where, s is number of seats and r is number of rows.

Learn more about the linear expression visit:

https://brainly.com/question/25682757

#SPJ2

Answer:

Required equations in standard form are:

1. 3x+4y=12

2. -5x+2y = 10

Step-by-step explanation:

Standard form of equation is given as:

[tex]Ax+By = C[/tex]

1. x – intercept is 4 and y – intercept is 3.

The points will be:

(4,0) and (0,3)

Slope: m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m = \frac{3-0}{0-4}\\m = -\frac{3}{4}[/tex]

Slope intercept form of line is:

[tex]y = mx+b[/tex]

Putting the values of m and b(y-intercept)

[tex]y = -\frac{3}{4}x+3[/tex]

Multiplying whole equation by 4

[tex]4y = -3x+12\\3x+4y = 12[/tex]

2. x – intercept is -2 and y – intercept is 5

The points will be:

(-2,0) and (0,5)

Now

[tex]m = \frac{5-0}{0+2}\\m = \frac{5}{2}[/tex]

Putting the values of m and b in slope intercept form

[tex]y = \frac{5}{2}x+5[/tex]

Multiplying the equation by 2

[tex]2y = 5x+10[/tex]

[tex]-5x+2y=10[/tex]

Hence,

Required equations in standard form are:

1. 3x+4y=12

2. -5x+2y = 10

Ok, I finally fuigred it out its 17+17+17+17+16+16 because 17*4 is = to 68 and 16*2 is = to 32, 68+32 equals to 100!