Tres profesores compraron libros: uno de ellos pago $845 por 3 libros de Algebra, 5 libros de Geometría Analítica y 2 libros de Cálculo Diferencial. Otro pago $580 por 2 libros de Geometría Analítica, 4 libros de Algebra y 1 libro de Cálculo Diferencial. El último de ellos pago $605 por un libro de Algebra, 3 libros de Geometría Analítica y 3 de Cálculo Diferencial. ¿Cuál es el costo de cada libro según su tema?

Answers

Answer 1

Usando un sistema de ecuaciones, se encuentra que

$96.875 es el costo de un libro de Algebra.$23.125 es el costo de un libro de Geometría Analítica.$146.25 es el costo de un libro de Calculo Diferencial.

Para el sistema, hay que:

x es el costo de un libro de Algebra.y es el costo de un libro de Geometría Analítica.z es el costo de un libro de Calculo Diferencial.

$845 por 3 libros de Algebra, 5 libros de Geometría Analítica y 2 libros de Cálculo Diferencial, o sea:

[tex]3x + 5y + 3z = 845[/tex]

$580 por 2 libros de Geometría Analítica, 4 libros de Algebra y 1 libro de Cálculo Diferencial, o sea:

[tex]4x + 2y + z = 580[/tex]

$605 por un libro de Algebra, 3 libros de Geometría Analítica y 3 de Cálculo Diferencial, o sea:

[tex]x + 3y + 3z = 605[/tex]

Reemplazando la segunda equación en las otras duas:

[tex]z = 580 - 4x - 2y[/tex]

[tex]3x + 5y + 3z = 845[/tex]

[tex]3x + 5y + 3(580 - 4x - 2y) = 845[/tex]

[tex]-9x - y = -895[/tex]

[tex]9x + y = 895[/tex]

[tex]y = 895 - 9x[/tex]

[tex]x + 3y + 3z = 605[/tex]

[tex]x + 3y + 3(580 - 4x - 2y) = 605[/tex]

[tex]-11x - 3y = -1135[/tex]

[tex]11x + 3y = 1135[/tex]

[tex]y = 895 - 9x[/tex], por eso:

[tex]11x + 3(895 - 9x) = 1135[/tex]

[tex]-16x = -1550[/tex]

[tex]x = \frac{1150}{16}[/tex]

[tex]x = 96.875[/tex]

[tex]y = 895 - 9x = 895 - 9(96.875) = 23.125[/tex]

[tex]z = 580 - 4(96.875) - 2(23.125) = 146.25[/tex]

$96.875 es el costo de un libro de Algebra.$23.125 es el costo de un libro de Geometría Analítica.$146.25 es el costo de un libro de Calculo Diferencial.

Un problema similar, que también envuelve un sistema de ecuaciones, es dado en https://brainly.com/question/24646137


Related Questions

1/4 , 0.5 , 10/25 from least to greatest

Answers

Answer: 1/4, 10/25, 0.5

Explanation: It doesn't take rocket science to solve this Brainliest please!

Question 19 of 25
f() = 379-2 and g(x) = 2x* 4. find (f- )(x).
A*2
C 3 - 2x - 6
D. 37 - 2x + 2

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82 jfksic Andesjfnwe

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a) 22y -33z b) ax + bx –ay – by

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a) 11(2y-3z)

(b) (a+b)(x-y)

…………………………………

What is the equation of the line that passes through points (10,6) and (2,2) ?

Answers

Answer:

y = (1/2)x + 1

Step-by-step explanation:

y = mx + b

m = slope = (y2 - y1)/(x2 - x1) = (6 - 2)/(10 - 2) = 4/8 = 1/2

y = (1/2)x + b

Use point (2, 2) to find b.

2 = (1/2)(2) + b

2 = 1 + b

b = 1

Equation: y = (1/2)x + 1

Geometry!
Use the diagram of triangle MNO where, X, Y, and Z are the midpoints of the sides.

Answers

Answer:

YZ = 7 , MO = 8

Step-by-step explanation:

A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.

(11)

YZ = [tex]\frac{1}{2}[/tex] MN , that is

3x + 1 = [tex]\frac{1}{2}[/tex] (10x - 6) = 5x - 3 ( subtract 5x from both sides )

- 2x + 1 = - 3 ( subtract 1 from both sides )

- 2x = - 4 ( divide both sides by - 2 )

x = 2

Then

YZ = 3x + 1 = 3(2) + 1 = 6 + 1 = 7

(12)

XY = [tex]\frac{1}{2}[/tex] MO , that is

x - 1 = [tex]\frac{1}{2}[/tex] (3x - 7) ← multiply through by 2 to clear the fraction

2x - 2 = 3x - 7 ( subtract 3x from both sides )

- x - 2 = - 7 ( add 2 to both sides )

- x = - 5 ( multiply both sides by - 1 )

x = 5

Then

MO = 3x - 7 = 3(5) - 7 = 15 - 7 = 8

HELPPP PLZ I NEED TO PASS ‼️‼️‼️‼️‼️‼️

Answers

answer to 3:
slope intercept form is mx+b
answer: 5/4x+2

answer to 4:
i’ve never heard of Ax+By=C form so I can’t help you there

answer to 5:
mx+b
answer: 5/2x-9

Letting x represent the number of messages over 500, and y the total monthly charges, write

equations representing the charges for plans A and B.

Answers

Answer:

x=500

Step-by-step explanation:

what is the slope of the line?




Answers

Answer:

The slope is 3 or 3/1

Step-by-step explanation:

Q8. the distance between two villages is 12875km. Express the distance in standard form.​

Answers

Answer:

1.2875 × 10^4

Step-by-step explanation:

3
15. 6x + 10y=0
Find the slipe

Answers

Answer: y = -3/5x

............................................

The answer above me is incorrect, the slope is -3/5x

Here is how i did it:
6x + 10y = 0
-6x. -6x
10y = -6x
——. ——
10. 10
y=-3/5x


Slope intercept form is y=mx+b, and the
original equation was not in that form so 6 is not the slope, it’s is -3/5

Eva has a points card for a movie theater. She receives 65 rewards points just for signing up. She earns 13.5 points for each visit to the movie theater. She needs at least 200 points for a free movie ticket. Use the drop-down menu below to write an inequality representing vv, the number of visits she needs to make in order to get a free movie ticket.

Answers

Answer:

10

Step-by-step explanation:

200-65= 135

135/13.5=10

is the equation y=3x^3+5 a linear or nonlinear?

Answers

Answer:

It is not linear. It is cubic since the highest exponent is 3.

Answer number 2 please.​

Answers

Answer:

Obtuse scalene triangle

Step-by-step explanation:

1. Angles:

-> Acute triangle: all angles less than 60° -> Right triangle: one angle is 90° -> Obtuse triangle: one angle is greater than 90°

- Given the information above, we can see that the triangle has one angle that's greater than 90° (129°), so this triangle is obtuse.

2. Sides:

-> Scalene triangle: all sides have different lengths-> Isosceles triangle: two sides have same length-> Equilateral triangle: all sides are the same

- Given the information above, we can see that all the sides in the triangle are different, so this triangle is scalene.

Therefore, the answer is an obtuse scalene triangle.

how many times can 10 go into 5228

Answers

522 hope this helps and good luck with what your doing

Both A and R are true, R is the correct explanation for A

Both A and R are true, R is not the correct explanation for A

A is true, R is false

A is false, R is true

Answers

I would say it's "A is false, R is true"

Look at it this way, (R is talking): A is false, this is obviously true.

It wouldn't really work the other way.

explain in words what this problem is asking you to do 3(×+2)​

Answers

Step-by-step explanation:

You simply have to multiply 3 by all what is in the bracket forinstance

3x+6 , this is so because 3 is multiplied by x and also multiplied by 2

simplify x+x+x+yxyxy

Answers

Answer:

3x + y³ * x²

Step-by-step explanation:

simplify x+x+x+yxyxy

x + x + x + yxyxy =

3x + y³ * x²

HELP WHAT IS 22 + 5/8 x -1/2
I will give brainliest!

Answers

Answer:

181/8

Step-by-step explanation:

Answer:

5x/8 + 43/2

Explanation:

The answer is the exact value.

pleaseeeeeeee HELPPPPPPP




A park is rectangular with a length of 1/2 miles. If the area of the park is 6/8 square miles, what is its width? Input your answer as a fraction.

Answers

Answer:

3/2 miles, or 1 1/2 miles

Step-by-step explanation:

Area = Length times Width

So Width is Area / Length

Calculate the problem, (6/8) / (1/2) = (6/8) * (2/1) = 3/2 miles.

Answer:

Area of Park = Length * Width

Therefore Width = Area / Length

= (6/8) / (1/2) = (6/8) * (2/1) = 3/2 miles.

PLZZ MARK BRAINLY

The angle measurements in the diagram are represented by the following expressions.

Answers

Answer:

114 degrees

Step-by-step explanation:

6x+12=3x+63

-3x -12 -3x  -12

3x=51

x=17

6(17) +12 = 114

Find the values of x and y

Answers

Answer:

X=20

Y=70

Step-by-step explanation:

All angles within a triangle add up to 180

180 - 40 = 140

140 is the top angle of the big triangle

140 + x + x = 180

x = 20

Now use x to find y by subtracting from the right angle (90 degrees)

90 - 20 = 70

70 + 40 + y = 180

Y = 70

WORTH 20 POINTS!!!
Find the discriminant of the quadratic equation x2 + 6x + 14 = 0 and use it to determine the number and types of solutions.

b2 − 4ac

−20; Two nonreal solutions
−20; One real solution
92; Two real solutions
92; One real solution

Answers

Answer:

-20;two nonreal solutions

Step-by-step explanation:

D=b^2-4ac=36-14*4=-20

because after that you need to write D^1/2 and D is <0,the solutions are unreal

Answer:

-20 and two nonreal solutions.

Step-by-step explanation:

The discriminant of a quadratic equation uses the equation:

[tex]b^2 - 4ac[/tex]

Where the value of this calculation can tell you what solutions there are, plug known values in:

[tex]x^2 + 6x + 14 = 0\\a = 1\\b = 6\\c = 14\\[/tex]

[tex]b^2 - 4ac\\6^2 - 4(1)(14)\\36 - (4 * 14)\\36 - 56 = -20[/tex]

As -20 < 0, this means that there is not a real solution, resulting in the first option being correct.

Hope this helps!

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Answers

Answer:

I think it is 8

Step-by-step explanation:

I found 2020's factors and took the positive non-prime factors of it, and there were 8 of them

parallel perpendicular or neither

Answers

Answer:

Parallel

Step-by-step explanation:

Simplify the functions to [tex]y=mx+b[/tex]

A: [tex]y=1/4x-5[/tex]

and

B: [tex]y=1/4x+3/4[/tex]

Since these lines have the same slopes and different y-intercepts, they are parallel

Find (x) and (y) intercept

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Pls help

Answers

Answer:

X = (5,0)

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X2-7x-34=10 solve please

Answers

its -8 4/5, hope this helps

Answer:

x = 11

x = -4

Step-by-step explanation:

-2/9 as a decimal help

Answers

Answer:

-.222

Step-by-step explanation:

Hey there!

To find the decimal form of a number you have divide the numerator (top number) from the denominator (bottom number) and you should have your result then

a / b

= a ÷ b

= result

Equation: -2/9

= -2 ÷ 9

= -0.222222

Answer: -0.222222

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

28. Write the equation of the line that has a slope of zero and passes through the point (2, -3). [A] y=-3x+2 [B] y=-3 [C] y=2 C] y=2x-3 [D] y=2x + 2​

Answers

Step-by-step explanation:

Write the equation of the line that has a slope of zero and passes through the point (2, -3). [A] y=-3x+2 [B] y=-3 [C] y=2 C] y=2x-3 [D] y=2x + 2

PLS HELP FAST FIRST ANSWER GETS BRAINLYEST 35 POINTSSSSS

Elena borrowed some
money from her brother. She
pays him back by giving him
the same amount every
week. The graph shows how
much she owes after each
week.
The slope is -3

1- how much time will it take for elena to pay back all the money she borrowed

Answers

Answer:

no graph how am i supposed to answer

Step-by-step explanation:

DUDE PUT THE GRAPH WHERE IS iT

help me find a please

Answers

Answer:

Ok, so the total answer in going to be 180 degrees. You have that 180 degrees between the two angles divided by 5. Once you divide 180 by 5, you will get the answer that is A=36

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