Translate the given statement into an algebraic inequality or a compound inequality.

Mario vende dos autos a 30 000 dólares cada uno. En la venta de uno ganó el 20% y en la

Mariana [72]

Answer:

Mario perdió dinero, perdió 2500 dólares

Step-by-step explanation:

En el primer caso, Mario está vendiendo su carro en 30 000 dólares. En otras palabras, el precio de venta es 30 000. Te dice que en el primer carro ganó 20%, o sea que su precio de venta es una incógnita que llamaremos x y gano 20% de x. Podemos expresarlo de esta manera

x = precio de compra carro 1

x + (20% de x) = 30 000

x = 100 % de x

(100% de x) + (20% de x) = 30 000

120% de x =30 000

120% = 1.2

1.2x = 30 000

x = 25 000

El segundo caso es bastante parecido. Te indica que el precio de venta sigue siendo el mismo, pero el precio de compra es diferente. El precio de venta sigue siendo 30 000, pero el precio de compra del segundo carro esta vez será "y". En este caso, pierde 20% del precio de compra, o osea, pierde 20% de y. Se puede expresar de la siguiente manera:

y = precio de compra carro 2

y - (20% de y) = 30 000

y = 100% de y

(100% de y) - (20% de y) = 30 000

80% de y = 30 000

80% = 0.8

0.8y = 30 000

y= 37 500

Entonces tenemos que el precio de compra del carro uno es 25 000 dólares y el precio de compra del carro dos es de 37 500. Si sumamos ambas cantidades, tenemos que ambos carros costaron 62 500 dólares. Como vendió esos dos autos a 30 000 dólares cada uno, recibió 60 000 dólares. El precio por el que vendió los autos (60 000) es menor al precio del que los compro (62 500), por lo que eso representa una perdida.

Para hallar la cantidad que ganó o perdió (en este caso perdió) debes restar el precio de venta menos el precio de compra.

60 000 - 62 500 = -2 500

Como es un número negativo, representa una perdida.

6 0

3 years ago

One step equation problems. Please solve j-3=3 what does j=

ohaa [14]

J=6

Simply get j by itself by adding 3 to both sides.

3 0

3 years ago

Read 2 more answers

Of the 9-letter passwords formed by rearranging the letters AAAABBCCC (4 A's, 2 B's, and 3 C's), I select one at random. Determi

Tanya [424]

Answer:

a) 3

b) (8!/9!)-(7!/9!)

c) (1-(8!/9!))*(7!/9!)

Step-by-step explanation:

a)With 4 As ; 2Bs and 3Cs it is possible to get a palindrome if you fixed the letters C according to: (2) in the extremes of the word and the other one at the center therefore you only have palindrome in the following cases

C ( ) C ( ) C

To fill in the gaps we have 4 letters A and 2 letters B, wich we have two divide in two palindrome gaps,

AAB and BAA the palindrome is C AAB C BAA C

BAA and AAB " " is C BAA C AAB C

ABA and ABA " " is C ABA C ABA C

b) 4 A ; 2B ; 3C

We have the total number of elements 9, so the total number of possible outcomes is : 9!

Total events: 9!

if we fixed 3 C we have (the group of 3 Cs becoming one element) so the total amount of events with 3 adjacent Cs is: 7!

Therefore the probability of having 3 adjacent Cs is: 7!/9!

If we fixed only 2 Cs we have:

4 A ; 2 B ; 2C : 1C

Total number of words (events) in this case is 8! (2C becomes 1 element)

so the total numbers of events is 8! the probability in this case is 8!/9!(this value includes cases of adjacent 3 Cs previous calculated ) so this value minus the case of 3 adjacent Cs ) give us 2 adjacent C and the other no next to them

Probability (of words with 2 adjacent Cs and the other no next to them is); 8!/9! - 7!/9!

c) Probability of B apart from each other is the whole set of events minus those where 2 B are adjacent or (become 1 element)

4 A ; 2B ; 3C

Total of events 9! and events with adjacent B is 8!/9!

Therefore the probability of words with 3 adjacent Cs and 2 B separeted is

the probability of 3 adjacent Cs (7!/9!) times probability of words with no adjacent Bs wich is (1-(8!/9!))*(7!/9!)

5 0

3 years ago

Which statement BEST defines a circle? A) A circle is the set of all points in a plane equidistant from each other. B) A circle

icang [17]

A circle is the set of all points in a plane equidistant from a given point, as the mathematical definition holds. For a typical definition, you will take a point A and a specified distance r and the set of all the points at distance r from A is a circle.

3 0

4 years ago

Read 2 more answers

2x+5y=-3 3x-y=21 help me

arlik [135]

Problem:
Solve
2
x
+
5
y
=
−
3
;
3
x
−
y
=
21
Steps:
I will try to solve your system of equations.
3
x
−
y
=
21
;
2
x
+
5
y
=
−
3
Step: Solve
3
x
−
y
=
21
for y:
3
x
−
y
+
−
3
x
=
21
+
−
3
x
(Add -3x to both sides)
−
y
=
−
3
x
+
21
−
y
−
1
=
−
3
x
+
21
−
1
(Divide both sides by -1)
y
=
3
x
−
21
Step: Substitute
3
x
−
21
for
y
in
2
x
+
5
y
=
−
3
:
2
x
+
5
y
=
−
3
2
x
+
5
(
3
x
−
21
)
=
−
3
17
x
−
105
=
−
3
(Simplify both sides of the equation)
17
x
−
105
+
105
=
−
3
+
105
(Add 105 to both sides)
17
x
=
102
17
x
17
=
102
17
(Divide both sides by 17)
x
=
6
Step: Substitute
6
for
x
in
y
=
3
x
−
21
:
y
=
3
x
−
21
y
=
(
3
)
(
6
)
−
21
y
=
−
3
(Simplify both sides of the equation)
Answer:
y
=
−
3
and
x
=
6

7 0

4 years ago