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

The value of a baseball card can be represented by the equation y=3x+39,where x represents the number of years that Robert has owned the card and y represents the total value,in dollars,of the card.What was the value of the card when Robert originally purchased it?

Answers

Answer:

Im pretty sure it's $39

Step-by-step explanation:

if x=0 it cancels out leaving y=39

What would be the dimesions of the pool if the length is 15 feet longer then the width and they put up an 110 feet of fence around the pool
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Answer:    Use Gauth Math. What is the topic about?

Step-by-step explanation:

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If ABCD is dilated by a scale factor of 2 about point E, which of the following is true about line E prime F prime?


Square ABCD is shown with line EF running horizontally through the center of the figure.


Question 2 options:


line E prime F prime is perpendicular to line EF.



line E prime F prime is parallel to line EF.



line E prime F prime intersects with point B′.



line E prime F prime passes through the center of dilation.



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https://brainly.com/question/24244927

Answers

Is this the question below if it is the answer is..

Answer/Step-by-step explanation:

line E prime F prime passes through the center of dilation.

What is the inverse of the following statement: “If x is a whole number, then x = 5”?


If x is not a whole number, then x ≠ 5.

If x = 5, then x is a whole number.

If x ≠ 5, then x is not a whole number.

If x is not a whole number, then x = 5.

Answers

if x is not a whole number, then x≠5

A rectangular room has an area of 120 square feet. a. The length of the room is 15 feet. Find the perimeter of the room. The perimeter of the room is feet.

Answers

Since the area is 120 ft^2, and we know the length of the room is 15 ft, we can calculate the width.

120/15 = 8

To find the perimeter, we use the following formula

2l + 2w = P

2 (15) + 2 (8) = 46 ft

William bought 6 shirts for $119.70. How much did one shirt cost him?

Answers

Answer:

19.95

Step-by-step explanation:

i just divvied 119.70 by 19.95

For which values is the graph decreasing? Check all that apply.
between x = –3 and x = –1.5
between x = –1.5 and x = 0
between x = 0 and x = 1.5
between x = 1.5 and x = 3

Answers

Answer:

c

i think

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

write the following fraction as decimals numbers 29/10 329/100 72/1000 2/1000

Answers

[tex] \frac{29}{10} = 2 \frac{9}{10} [/tex]

[tex] \frac{329}{100} = 3 \frac{29}{100} [/tex]

[tex] \frac{72}{1000} = \frac{9}{25} [/tex]

[tex] \frac{2}{1000} = \frac{1}{50} [/tex]

I DON'T KNOW IF CORRECT

Answer:

i) 2.9

ii) 3.29

iii) 0.072

iv) 0.002

Step-by-step explanation:

i) 29/10 = 2.9

ii) 329/100 = 3.29

iii) 72/1000 = 0.072

iv) 2/1000 = 0.002

It's Helpful For All

Mark me Brainliest

A city has a population of 38,802,500 people. Esitmate this population to the nearest ten million

Answers

Answer:

40,000,000

Step-by-step explanation:

hope this works

( No Copy answer Use)

:)

Answer these questions

Answers

Answer:

y < 5

Step-by-step explanation:

Subtract 22 from both sides.

7y < 5y + 12 - 2

7y < 5y + 12 − 2

2 Simplify  5y + 12 - 25y + 12 − 2  to  5y + 105y + 10.

7y < 5y + 10

7y < 5y + 10

3 Subtract 5y5y from both sides.

7y - 5y < 10

4 Simplify  7y - 5y7y − 5y  to  2y.

2y<10

Divide both sides by 22.

y < 10/2

 

Then Simplify 10/2 to 5

y < 5

The perimeter of a rectangle is 30 inches. If the length of the rectangle is 10 inches, which equation could be used to find the width of the rectangle "w" in inches

Answers

Answer:

30=2(10 x w)

Step-by-step explanation:

P=2(l x w)

Perimeter(P) equals two times length(l) times width(w)

Hope this helps

You want to watch 3 DVD's from a selection of 10. How many possible combinations of DVD's do you have

Answers

Answer:

210÷2=105

Step-by-step explanation:

what is 2+3-4+6+22=

not that hard

Answers

Answer:

29

Step-by-step explanation:

Simplify 2+3 to 5

5-4+6+22

Simplify 5-4 to 1.

1+6+22

Simplify 1+6 to 7.

7+22

Simplify.

29

PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE

Answers

Answer:

Parallel

Step-by-step explanation:

So if they have the same slope but different y-intercepts, it would be parallel because the slope stays the same so the line doent change, just the starting point

for example use the following equations

y = x + 2

y = x + 3

In the graph, these equations are parallel

Answer:

Neither

Step-by-step explanation:

Because the y intercepts, or the (point on the y axis) is different

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Answers

The whole angle is a right angle which is 90 degrees so 90-37 equals 53 which is the missing angle

What is 2 and 2/3 x 5

Answers

Answer:

13 and 1/3

Step-by-step explanation:

2×5=10

2/3 ×5 =10/3

10/3 simplifies to 3 and 1/3

Add them together to get 13 and 1/13

Johan has recorded 32 show usings his cable television service. Each week, he records 6 new shows.

Write an expression to show the total number of shows Johan has recorded after w week.

Answers

Answer:

32+6w=x

Step-by-step explanation:

Johan already has the 32

he is adding 6 every week which gives you the total-x

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Find the angle measure.

The measure of the angle is ?

Answers

Answer:

133°

Step-by-step explanation:

The angle X is the same as the given.

TRANSVERSAL LINE

[tex]\mathbb{ANSWER:}[/tex]

⇒ The two parallel lines are cut by a transversal so the interior angles on the same side of a transversal are congruent. This means that the measurement of the second angle is also 133 degrees.

Hence, the measurement of the angle is also 133 degrees.

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Answers

119.833333333 times it goes into 719 119.833333333 times

Answer:

119 R5

Step-by-step explanation:

we first divide 7 by 6 and we get that it goes in once

so 1__

then after we do 7 - 6 and get a remainder of 1

we drop the 1 next to the other one and get 11

then we divide 11 by 6 and we get that it goes in once

so 11_

then after we do 11 - 6 we get a remainder of 5

we drop the 5 next to the nine and get 59

then we divide 59 by 6 and get 9

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then after we do 59 - 54 and get a remainder of 5

so our answer is 119 R5



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Answers

Answer:

Step-by-step explanation:

plato answer

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Answer:

Easy Kick one person out

Step-by-step explanation:

8/7 because 7*8=7/1*8/1= and we will take the reciprical which is 7/1*1/8=7/8

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Answer:

The answer is 3x^3 V2x. Edge 2022. For the second part, the product is -1

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Both students made a mistake.

Describe the mistake each student made.

Explain what each student needs to do to fix their mistake.

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c
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Answers

Amy didn't include the negative sign for the 20, so she got an imaginary number.

Richard made it imaginary when he didn't need to. (there isn't a negative sign underneath the radical).

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Answers

Answer:

The third answer is the correct one.

what is the largest factor that can be identified in the fraction 102/150

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the correct answer is A.6

If there is 1/4 ounces of yeast in every 2 and 1/4 teaspoons and you need 2 teaspoons how many ounces of yeast is needed

Answers

Answer:

It's probably 1/4

Step-by-step explanation:

Please help (picture is linked)

Answers

Answer:

[tex]\LARGE\mathsf{slope\:=\:\frac{9}{5}}[/tex]

y-intercept: (0, 32), b = 32

[tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]

Step-by-step explanation:

Given (0, 32) as the freezing point of water in Celsius and Farenheit, and (100, 212) as the boiling point of water in Celsius and Farenheit.

Slope

Use these points to solve for the slope of their line.

Let (x₁, y₁) = (0, 32)

    (x₂, y₂) = (100, 212)

Substitute these points into the following formula for the slope:

[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]

[tex]\LARGE\mathsf{m = \frac {(212\: -\: 32)}{(100\: -\: 0)}\:= \frac {180}{100}}[/tex]

[tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex]

Therefore, the slope of the line is  [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex].

Y-intercept:

Next, the given problem asks for the value of the y-intercept.  The y-intercept is the point on the graph where it crosses the y-axis, with its coordinates occurring at point, (0, b ). Thus, the y-intercept provides the value of y when its corresponding x-coordinate is 0.

To solve for the y-intercept, b, we must choose one of the given points, (100, 212), and the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and substitute these values into the slope-intercept form, y = mx + b:

y = mx + b

[tex]\LARGE\mathsf{212\:=\:\frac{9}{5}(100)\:+\+b}[/tex]

212 = 180 + b

Subtract 180 from both sides to isolate b:

212 - 180 = 180 - 180 + b

32 = b

The y-intercept is (0, 32), where b = 32.

Slope-intercept form:

Given the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex],  and the y-intercept, b = 32:

The linear equation in slope-intercept form is:  [tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]

help me with this problem

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Answer:

ñññññññññ

Step-by-step explanation:

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consider the function represented by the equation 6q = 3s - 9. write the equation in function notation where q is the independent variable

Answers

Answer:

3s = 6q + 9

Step-by-step explanation:

Remember y = mx + b? The function you provided is exactly that but with different letters. As written, the dependent variable is 6q since that is what is isolated. To make it the independent variable, isolate something else so that it becomes the dependent variable. In other words, solve for s by moving the 9 to the other side of the equation.

6q = 3s - 9

3s = 6q + 9

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