Analía fue a comprar ropa a un negocio que vende al por mayor. Compró 12 camisas a $21 cada una, 24 remeras a $11 cada una, y 40 polleras a $56 cada una. Como tuvo que devolver 20 pantalones que había comprado antes, a $51 cada uno, se lo descontaron del total que debía pagar. El taxi para ir y volver del negocio le costó $40. ¿Le alcanzó el dinero, si llevó $2.000?

Answers

Answer 1

Answer:

A Analía sí le alcanzó el dinero pues aún tenía $224 de los $2000 que llevó.  

Analía gastó en total $1776. Si llevó $2000, entonces aún tenía:

[tex] \\ \$2000 - \$1776 = \$224[/tex]

Step-by-step explanation:

Para resolver el problema se deben obtener los subtotales de cada una de las transacciones en los que Analía gastó el dinero:

Primera transacción: compra de 12 camisas

Compró 12 camisas a $21 cada una. El monto por esta transacción es:

[tex] \\ \frac{\$21}{camisa} * 12\;camisas = \$252[/tex]

Primera transacción: T1 = $252.

Segunda transacción: compra de 24 remeras

Compró 24 remeras a $11 cada una:

[tex] \\ \frac{\$11}{remera}*24\;remeras = \$264[/tex]

Segunda transacción: T2 = $264.

Tercera transacción: compra de 40 polleras

Compró 40 polleras a $56 cada una:

[tex] \\ \frac{\$56}{pollera}*40\;polleras = \$2240[/tex]

Tercera transacción: T3 = $2240.

Cuarta transacción: devolución de pantalones y descuento

Devolvió 20 pantalones (y se lo descontaron de lo que tenía que pagar). El costo de cada pantalón es de $51 cada uno:

[tex] \\ \frac{\$51}{pantalon}*20\;pantalones = \$1020[/tex]

Cuarta transacción: T4 = $1020.

Quinta transacción: pago de ida y vuelta en transporte

Finalmente, el taxi para ir y volver del negocio le costó $40.

Quinta transacción: T5 = $40.

¿Cuánto gastó en total Analía?

A todo lo que Analía gastó, le debemos restar lo obtenido en el descuento por la devolución de pantalones (Cuarta transacción). Este último dinero corresponde a una transacción a favor de Analía, por lo que se resta a lo que ella ha gastado. De esta manera:

[tex] \\ Total = T1 + T2 + T3 - T4 + T5[/tex]

[tex] \\ Total = \$252 + \$264 + \$2240 - \$1020 + \$40[/tex]

Para hacer más notorio el total de lo que gastó y lo que le descontaron a su favor, tenemos:

[tex] \\ Total = \$252 + \$264 + \$2240 + \$40 - \$1020[/tex]

[tex] \\ Total = \$2796 - \$1020[/tex]

[tex] \\ Total = \$1776[/tex]

Entonces, Analía gastó en total $1776. Si llevó $2000, entonces aún tenía:

[tex] \\ \$2000 - \$1776 = \$224[/tex]

En conclusión, a Analía sí le alcanzó el dinero pues aún tenía $224 de los $2000 que llevó.


Related Questions

A bag holds 20 jelly beans: 5 red, 10 green, 4 blue, and 1 black. What is the probability of choosing two consecutive blue jelly beans without replacement

Answers

Answer:

10/20 for green, then 4/19 for blue. 10/20 * 4/19 = 2/19

Step-by-step explanation:

Explanation is above. If you need any more help let me know.

The base of a triangle is twice that of its height. If the area is 36 square centimeters, then find the length of its base and height.

Answers

Answer:

height = 6 cm

base = 12 cm

Step-by-step explanation:

Let the base of the triangle is denoted by b

Let the height of the triangle is denoted by h

We are given that base of a triangle is twice that of its height,

b = 2h

Recall that area of a triangle is given by,

A = ½×b×h

We are given that area of the triangle is 36 cm²

36 = ½×b×h

Substitute b = 2h in the above equation

36 = ½×2h×h

36 = h×h

h² = 36

h = √36

h = 6 cm

Therefore, the height of the triangle is 6 cm

b = 2h

b = 2(6)

b = 12 cm

Therefore, the base of the triangle is 12 cm

Verification:

A = ½×b×h

A = ½×12×6

A = ½×72

A = 36 cm²

Hence proved

Write and equation that represents the line

Answers

Answer:

y = [tex]\frac{3}{4}x+2[/tex]

Step-by-step explanation:

In the figure attached,

Graph of the line passes through the two points (0, 2) and (4, 5).

Let the equation of this line is y = mx + b

Here m = slope of the line

b = y-intercept

Since slope of the line passing through two points is represented by,

m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

   = [tex]\frac{(5-2)}{(4-0)}[/tex]

   = [tex]\frac{3}{4}[/tex]

Y-intercept of the line 'b' = 2 units

Therefore, equation of the line will be,

y = [tex]\frac{3}{4}x+2[/tex]

plz help with slope question

Answers

Answer:

The equation in slope-intercept form:

[tex]y = -3x - 4[/tex]

Step-by-step explanation:

Use the point-slope formula:

[tex]y-y_{1} = m (x-x_{1})[/tex]

Use the given slope [tex]-3[/tex] and point [tex](0,-4)[/tex] for the formula:

[tex]y + 4= -3 (x-0)[/tex]

-Then, you solve the formula:

[tex]y + 4 = -3 (x-0)[/tex]

[tex]y+4 - 4 = -3 (x-0) -4[/tex]

[tex]y = -3x - 4[/tex]

The equation, which is in slope-intercept form:

[tex]y = -3x - 4[/tex]

Answer:

D. y = -3x - 4

Step-by-step explanation:

→You can figure this out by using the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y+4=-3(x-0)[/tex]

→Distribute the -3 to (x - 0):

y + 4 = -3x

→Subtract 4 from both sides:

y = -3x - 4

What is 12 radical 2 divided by 2 radical 6 in simplest form

Answers

Answer:

[tex]=2\sqrt{3}\\\mathrm{Decimal:\quad }\:3.46410[/tex]

Step-by-step explanation:

[tex]\frac{12\sqrt{2}}{2\sqrt{6}}\\\mathrm{Divide\:the\:numbers:}\:\frac{12}{2}=6\\=\frac{6\sqrt{2}}{\sqrt{6}}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}\\\sqrt{6}=6^{\frac{1}{2}}\\=\frac{6\sqrt{2}}{6^{\frac{1}{2}}}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\frac{6^1}{6^{\frac{1}{2}}}=6^{1-\frac{1}{2}}\\=\sqrt{2}\cdot \:6^{-\frac{1}{2}+1}\\\mathrm{Subtract\:the\:numbers:}\:1-\frac{1}{2}=\frac{1}{2}\\=6^{\frac{1}{2}}\sqrt{2}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \:a^{\frac{1}{n}}=\sqrt[n]{a}\\6^{\frac{1}{2}}=\sqrt{6}\\=\sqrt{6}\sqrt{2}\\\mathrm{Factor\:integer\:}6=2\cdot \:3\\=\sqrt{2\cdot \:3}\sqrt{2}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}\\\sqrt{2\cdot \:3}=\sqrt{2}\sqrt{3}\\=\sqrt{2}\sqrt{3}\sqrt{2}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a\\\sqrt{2}\sqrt{2}=2\\=2\sqrt{3}[/tex]

Answer:

[tex]2 \sqrt{3} [/tex]

Step-by-step explanation:

[tex] \frac{ 12\sqrt{2} }{2 \sqrt{6} } [/tex]

Reduce the fraction with 2

[tex] = \frac{6 \sqrt{2} }{ \sqrt{6} } [/tex]

Simplify the expression

[tex] \frac{6}{ \sqrt{3} } [/tex]

Multiply the fraction by [tex] \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]

[tex] \frac{6}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]

To multiply the fractions, multiply the numerators and denominators separately

[tex] \frac{6 \sqrt{3} }{ \sqrt{3 \times \sqrt{3} } } [/tex]

When a square root of an expression is multiplied by itself, the result is that expression

[tex] \frac{6 \sqrt{3} }{3} [/tex]

Reduce the fraction with 3

[tex] 2 \sqrt{3} [/tex]

Hope this helps...

Best regards!!

Sean moved his lawn in 2 ½ hours. Sofiia mowed her lawn for ¼ hours, then stopped. She did this 7 times. Who spent the most time mowing the lawn?

Answers

Answer:

Sean

Step-by-step explanation:

We need to find how long Sofia spent mowing and then compare with the time Sean spent.

Sean mowed his lawn in 2 ½ hours.

Sofiia mowed her lawn for ¼ hours, then stopped. She did this 7 times. This means:

1/4 * 7 = 7/4 hours = [tex]1\frac{1}{4}[/tex] hours

Therefore, Sean spent more time mowing his lawn.

Line A's equation is y = 6x - 5. Line B is parallel to Line A and and goes through the
point (3, 10). Write the equation for Line B in slope-intercept form.

Answers

Answer:

y = 6x - 8

Step-by-step explanation:

line a: y = 6x- 5

10 = 6(3) - b

10 = 18 - b

10 - 18 = -b

-8 = -b

8 = b

open the word document

Answers

Answer:

Total mean: 4.3

Step-by-step explanation:

(mean for home goals)

Mean: 2.5

(mean for away goals)

Mean: 1.8

it tells us to find the total games played all together..

so:

2.5 + 1.8 = 4.3

Can someone help me plz :)

Answers

Answer:

4

4

4

4

Step-by-step explanation:

I will give you 10B points plus mark someone again for the Brainliest if you get this right. a:15 b:7 c:4

Answers

Answer:

For this expression,a=15,b=7 and c=4

Hope it helps

Good luck on your assignment

Need help!!! Now!!!

Answers

Answer:

50

Step-by-step explanation:

c = cell phone cost

t = 5c

computer = 2.5 t = 2.5 ( 5c) =12.5 c

The total = 925

c+t+ computer = 925

c + 5c+ 12.5c = 925

Combine like terms

18.5 c = 925

Divide each side by 18.5

18.5c /18.5 = 925/18.5

c = 50

Answer:

Step-by-step explanation:

From the end of the problem to the beginning of the problem (this is often how you need to "decipher" story problems...go at it backwards!), we see that the cost of everything Tony bought is, in the end, based on the cost of the cell phone. The TV is 5 times as much as the cell phone, and the computer is 2.5 times as much as the TV...which is based on the cell phone. So the cell phone is our "main" unknown. We'll call that x.

If the TV is 5 times the cell phone, then the

TV = 5x

If the computer is 2.5 times the TV, then the

computer = 2.5(5x) = 12.5x

The cost of all these added together is 925.  Therefore,

x + 5x + 12.5x = 925 and

18.5x = 925 so

x = 50

The cell phone cost $50. Choice G.

What is the next term of the geometric sequence? 27/16, -9/4 3

Answers

I think answer should be 21

Answer:

-4

Step-by-step explanation:

khan academy

Factor completely x2 + 16.

Answers

Answer:

2(x+8)

Step-by-step explanation:

2x+16

2(x+8)

Answer:

unfactorable with real numbers

in the complex realm

(x-4i) (x+4i)

Step-by-step explanation:

x^2+16

We can only factor this with imaginary numbers

(x^2 - (-4i)^2)

This is the difference of squares

(x -4i) (x+4i)

Simplify (x+3)^2 - 6x

Answers

Answer:

[tex] {x}^{2} + 9[/tex]

Step-by-step explanation:

[tex] {(x + 3)}^{2} - 6x \\ \\ = {x}^{2} + {3}^{2} + 2 \times x \times 3 - 6x \\ \\ = {x}^{2} + 9 + 6x - 6x \\ \\ = {x}^{2} + 9[/tex]

Answer:

The answer is x² + 9.

Step-by-step explanation:

First, you have to get rid of bracket of square :

[tex] {(a + b)}^{2} \: ⇒ \: {a}^{2} + 2ab + {b}^{2} [/tex]

[tex] {(x + 3)}^{2} [/tex]

[tex] = (x + 3)(x + 3)[/tex]

[tex] = {x}^{2} + 6x + 9[/tex]

Next, you can simplify :

[tex] {x}^{2} + 6x + 9 - 6x[/tex]

[tex] = {x}^{2} + 9[/tex]

Whats 2x+2y=2x answer fassttt!!!!!

Answers

Answer:

x=−2/0

Step-by-step explanation:

Steps:

Let's solve for x.

2x+2y=2x

Step 1: Add -2x to both sides.

2x+2y+−2x=2x+−2x

2y=0

Step 2: Add -2y to both sides.

2y+−2y=0+−2y

0=−2y

Step 3: Divide both sides by 0.

00=−2y0x=−20

Answer: x=−2/0

Plz mark brainlies

Hope this helps

Solving for variable “x” move all terms containing “x” to the left,all other terms to the right.add “2y”to each side of the equation. 2x + -2y +2y=2 +2y. Combine like terms:-2y + 2y=0 2x + 0 = 2 + 2y. 2x = 2 + 2y. Divide each side by ‘2’. X=1 + y. Simplifying x = 1 + y

For each system of equations, drag the true statement about its solution set to the box under the system. HURRY PLEASE!

Answers

Answer:

Ok, some theory first:

If we have more variables than linear independent equations, then we have infinite solutions.

If we have the same number of linearly independent equations and variables, we can have a unique solution or no solution.

we have no solution in cases where:

y = x + 3

y = x - 3

this leads to:

x + 3 = x - 3

+3 = -3

so this system has no solutions.

The first system of equations is:

y = x + 5

y = 2x + 5

Now, you can see that we have 2 variables, and 2 linear independent equations, this means that we have only one solution for this system

So here we have "One solution, the graph of these lines should intersect at one point" and the point is (0, 5)

The second system is:

y = x + 5 + x = 2x + 5

y = 2x+ 5

Both equations are the same, so here we have 2 variables and only one equation, this means that we have infinite solutions for this system.

here the correct option is the one that says "infinitely many solutions, both right side and left side are equivalent expressions"

Answer:

For y = x+5

      y=2x+5   It is one solution

For  y = X+5+X  and Y = 2X + 5   Infinitely Many Solutions both the right and left sides of the equations are equivalent expressions.  See photo below

Step-by-step explanation:

What is the solution to the equation shown below? یہ اس x + 5 = 1 A x=-6 B x=4 C x= -4.5 D x=9

Answers

Answer:

x = -4None of the answers is correct

Step-by-step explanation:

Given the equation x + 5 = 1, to get the solution to the equation, we need to find the value of x

Step 1: Subtract 5 from both sides of the equation

x+5-5 = 1-5

x = 1-5

Step 2: Find the value of the unknown variable x

x = -4

The solution to the equation is x = -4

11
?
Find the arc length of the semicircle.
Either enter an exact answer in terms of a or
use 3.14 fora and enter your answer as a
decimal.
units​

Answers

Answer:

[tex]34.5575191895[/tex]

Step-by-step explanation:

[tex]2\pi r(180/360)\\2\pi *11*1/2\\=11\pi[/tex]

The arc length of the semicircle is half the circumference i.e., 11π.

What is circumference?

The circumference is the perimeter of a circle.

Formula of Circumference = 2πr.

= Arc length of a semicircle  

= half of the circle's circumference

= 2πr/2

= πr

=11r

Learn more about circumference here

https://brainly.com/question/4268218

#SPJ2

Solving 2+2x=3+2x can provide justification that the equation does not have a solution. Investigate this equation using a graph and inverse operations.

Answers

Step-by-step explanation:

The main goal is to separate the values on opposite sides of the equal sign.

2 + 2x = 3 + 2x

-2 -2 ⬅Subtract 2 from both expressions

2x = 1 + 2x

-2x - 2x ⬅Subtract 2x from both sides.

0 = 1

Answer:

0 does not equal 1, which means that this equation is inconsistent. In other words, there is no solution. 0 does not equal 1, so 2 + 2x does not equal 3 + 2x.

I hope this helps! :)

if Y is directly proportional to x and y = 10 when x = 2, find
I) an equation connecting x and y
ii) the value of y when x = 10
III) the value of x when y = 60

p.s please give me a answer quickly ​

Answers

Answer:

I) Y=5x

II) Y=50

III)X=12

Step-by-step explanation :

I) Y=5x

II) Y=5(10)

Y=50 when x=10

III)Y=5x

60=5x

X=60/5

X=12 when y=60

Hope this helps..

Multiple Representations:Question 1
Given the equation below, if x = 12, what is the value of y?
y= x + 15.1

Answers

Answer:

y = 27.1

Step-by-step explanation:

We have the value of x:

x = 12

and we need to find the value of y in the expression:

y = x + 15.1

as we can see by the equation, the value of y depends on the value of x.

thus, we substitute x = 12 on the previous equation:

y = 12 + 15.1

y = 27.1

the value of y is 27.1

Which line is parallel to the line 8x + 2y = 12?

Answers

Answer:

Step-by-step explanation:

Our line's equation is;

2y = -8x + 12

Dividing throughout by 2 we get;

y = -4x + 6

The slope of our line = -4

We are to choose a line whose slope is -4 (from those four options)

A slope of -4 means that for every positive 1 move along the x-axis, there is a negative 4 move along the y-axis.

The line that satisfies this condition is the third line.

Answer:

In other words Its C

Step-by-step explanation:

The guy above and Edge 2020

A pair of shoes is originally priced at $120.00 It is on sale for 35% off. Find the total percent that you would pay: *

Answers

Answer:

$43.75 (65%)

Step-by-step explanation:

35% of 125= 43.75

.35 times 125+ 43.75

Answer:

78$

Step-by-step explanation:

First we need to know the percent of the birr. 120×35÷100= 42$then we minus the percent of birr from the total amount 120$-42%then we need to pay 78$

5 times the cube of x divided by 4 times x

Answers

Answer:

5x^2/4

Step-by-step explanation:

5 times the cube of x divided by 4 times x

(5x^3)/4x=5x^2/4

Answer:

I'm not sure what the question is... but I'm guessing you have to put this in number form? If so, the answer would be 5x^3/4x

Step-by-step explanation:

When having a number times x instead of writing the multiplication sign you just put them next to each other. (5x)

When something is cubed that means it is to the power of three (5x^3)

Divided by four times x would be 4x

Hopefully I did this right and helped you!

Anyone know this ????

Answers

Answer:

The answer is C.

Step-by-step explanation:

As you type into the calculator, you will get 0.707 :

cos(45) = √2/2

cos(45) ≈ 0.707 (3s.f)

The answer is definitely D

Describe and correct the error in finding csc θ, given that θ is an acute angle of a right triangle and cos θ =7/11

Answers

Answer:

cosecθ = 1/sinθ = 11/6√2

Step-by-step explanation:

Given that  cos θ =7/11, cosec θ = 1/sinθ in trigonometry.

Based on SOH, CAH, TOA;

cosθ = adjacent/hypotenuse = 7/11

adjacent = 7 and hyp = 11

Since sinθ = opp/hyp, we need to get the opposite to be able to calculate sinθ.

Using pythagoras theorem to get the opposite;

[tex]hyp^{2} = adj^{2} + opp ^{2} \\opp = \sqrt{hyp^{2} - adj^{2} } \\opp = \sqrt{11^{2} - 7^{2}} \\opp = \sqrt{72} \\opp = 6\sqrt{2}[/tex]

sinθ = 6√2/11

cosecθ = 1/sinθ = 1/( 6√2/11)

cosecθ = 1/sinθ = 11/6√2

Note the error; cscθ[tex]\neq[/tex] 1/cosθ but cscθ = 1/sinθ

In ΔPQR, the measure of ∠R=90°, RP = 61 feet, and PQ = 89 feet. Find the measure of ∠P to the nearest degree.

Answers

Answer:

  47°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation ...

  Cos = Adjacent/Hypotenuse

The side adjacent to ∠P is the one with P in its name: RP. The hypotenuse is the side opposite the right angle, the side without the right-angle vertex in its name: PQ. So, ...

  cos(∠P) = RP/PQ = 61/89

  ∠P = arccos(61/89) ≈ 46.733°

  ∠P ≈ 47°

Answer:

47 degrees

Step-by-step explanation:

Joe walked is dog 3/3 mile every morning how much mike did he walked his dog every morning

Answers

Answer:

1 mile.

Step-by-step explanation:

3/3 mile is equal to 1 mile.

Answer:

Joe walked his dog 1 mile.

Step-by-step explanation:

3/3 =1 mile.

Please answer correctly! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

[tex]g^{-1}[/tex](x) = [tex]\frac{x+10}{5}[/tex]

Step-by-step explanation:

Given

g(x) = 5(x - 2)

let y = g(x) and rearrange making x the subject, that is

y = 5(x - 2) ← distribute

y = 5x - 10 ( add 10 to both sides )

y + 10 = 5x ( divide both sides by 5 )

[tex]\frac{y+10}{5}[/tex] = x

Change y back into terms of x with x = [tex]g^{-1}[/tex] (x) , thus

[tex]g^{-1}[/tex](x) = [tex]\frac{x+10}{5}[/tex]

Which line is steeper, line a or line b? Justify your reasoning.

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

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