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2 years ago

Which of the following equations is an example of inverse variation between variables x and y ?

2 answers:

3 0

The option C) y = 15/x

a) y = 15 x is an example of direct variation, with proportionality constant = 15

b) is an example of linear variation (it is the equation of a straight line that does not pass through the origin)

c) y = 15/x => y*x = 15 = constant which is the characteristic of an inverse relation

d) y = x/15 is an example of an inverse relation, with proportion constant = 1/15

WINSTONCH [101]2 years ago

3 0

Answer: Y=15\x

Step-by-step explanation:

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Ariel deposited 100$ into a bank account. Each Friday she will withdraw 10% of the money in the account to spend. Ariel thinks h

Scilla [17]

Ariel deposited 100$ into a bank account. Each Friday she will withdraw 10% of the money in the account to spend. Ariel thinks her account will be empty after 10 withdrawals. Do you agree? Explain
OK, my initial answer is YES. I agree.
Why? Let me show you the solutions
=> 100 dollars = the money of Ariel in the bank
=> 10% = he withdraw every Friday
10% of 100 is:
=> 100 / 10 = 10 dollars
Thus, after his 10th withdrawal, his account will be empty.

8 0

3 years ago

Acertijo.

Cerrena [4.2K]

La edad de cada uno de los integrantes del acertijo es:

Luisa = 3 años 
Juan = 6 años 
Carmen = 8 años

Cálculo por medio de ecuaciones y el método de igualación.

Haciendo uso de la información brindada en el ejercicio, se procede a formular variables con las cuales se calcularán las ecuaciones, por lo tanto:

X = Edad de Luisa
Y = Edad de Juan
Z = Edad de Carmen

Con el enunciado: "Luisa es 3 años más joven que su hermano Juan" se crea la primera ecuación:

1. Y = X + 3

Con el enunciado: "Su hermana Carmen es 2 años mayor que Juan", se crea la segunda ecuación:

2. Z = Y + 2

Y con el enunciado: "Juan tiene el doble de edad que Luisa", se crea la tercera ecuación:

3. X = $\frac{Y}{2}$

Ahora, utilizando el método de igualación, se reemplaza la tercera ecuación en la primera:

Y = X + 3
Y = ( $\frac{Y}{2}$ ) + 3

Y se procede a sumar:

Y = ( $\frac{Y}{2}$ ) + 3
Y = $\frac{Y+6}{2}$

El dividendo se pasa al otro lado de la igualdad a multiplicar:

2Y = Y + 6

Y la variable "Y" que está sumando, se pasa al otro lado de la igualdad a restar:

2Y - Y = 6
Y = 6

Con el valor de Y (edad de Juan) se calcula X con la tercera ecuación:

X = $\frac{Y}{2}$
X = $\frac{6}{2}$
X = 3

Una vez calculado el valor de X (edad de Luisa), se procede a calcular el valor de Z con la segunda ecuación:

Z = Y + 2
Z = 6 + 2
Z = 8

Por lo tanto, se calcula que la edad de Luisa es 3 años, la edad de Juan es 6 años y la edad de Carmen es 8 años.

Más información sobre ecuaciones:

brainly.com/question/15415929?referrer=searchResults

8 0

3 years ago

2. Which of the following are terms of the series with nth term T-3n +17? a) 80 b) 170 c)217 d) 312 e) 278 f) 3566

pishuonlain [190]

Answer:

The correct options are a,b,e and f.

Step-by-step explanation:

It is given that the nth terms of the series is defined as

$T_n=3n+17$

Subtract 17 from both the sides.

$T_n-17=3n$

Divide both sides by 3.

$\frac{T_n-17}{3}=n$

The term Tₙ is a term of given series if n is a positive integer.

(a) The given term is 80.

$n=\frac{80-17}{3}=21$

Since n is a positive integer, therefore 80 is a term of given series.

(b) The given term is 170.

$n=\frac{170-17}{3}=51$

Since n is a positive integer, therefore 170 is a term of given series.

$n=\frac{217-17}{3}=66.67$

Since n is not a positive integer, therefore 217 is a term of given series.

(d) The given term is 312.

$n=\frac{312-17}{3}=98.33$

Since n is not a positive integer, therefore 312 is a term of given series.

(e) The given term is 278.

$n=\frac{278-17}{3}=87$

Since n is a positive integer, therefore 278 is a term of given series.

(f) The given term is 3566.

$n=\frac{3566-17}{3}=1183$

Since n is a positive integer, therefore 3566 is a term of given series.

Thus, the correct options are a, b, e and f.

7 0

3 years ago

120 110 A pick-your-own blueberry farm offers 6 pounds of blueberries for $14. Cost (dollars) 100 90 Drag the points to create a

shutvik [7]

The relationship between cost and pounds of blueberries is y = (7/3)x

A linear equation is of the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the cost in dollars for x pounds of blueberries.

Since 6 pounds of blueberries cost $14, hence:

m = $14/ 6 pound = $7/3 per pound

Therefore the relationship between cost and pounds of blueberries is y = (7/3)x

Find out more at: brainly.com/question/25445678

5 0

3 years ago

A total of 769 tickets were sold were for the play.Thwy were either adult tickets or students tickets.There were 69 more student

aleksandrvk [35]

Answer:

350 adult tickets were sold

Step-by-step explanation:

Let "a" represent the number of adult tickets sold. Then the number of student tickets is (a+69) and the total number of tickets sold is ...

a + (a+69) = 769

2a = 700 . . . . . . . . subtract 69

a = 350 . . . . . . . . . divide by 2

350 adult tickets were sold.

7 0

3 years ago