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pickupchik [31]
3 years ago
11

Y varies directly with x and y=8 when x=-5

Mathematics
1 answer:
ale4655 [162]3 years ago
7 0

Answer:

Y=K×X...... equation

When,Y=8 and X=-5

To find the constant (K)

we substitute for K in the equation

8=K×-5

8=-5K divide both sides by -5

8÷-5=-5K÷-5

K=-1.6

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Pls help!!!! Will give points! And brainlest
Dvinal [7]

Answer: 3/7

Step-by-step explanation:

3/4 of 4/7 is the same as 0.75*4/7 which equals 0.429 or as a fraction is 3/7

6 0
3 years ago
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Ana ha comprado libros, todos del mismo precio, por valor de 120 euros. El librero le regala 3 libros por lo que cada libro le c
lidiya [134]

Answer:

El primer paso será darle un nombre a nuestras variables:

x= Numero de libros comprados inicialmente

y=Precio inicial de los libros

Ahora analizamos el enunciado,

Lorena ha comprado libros todos del mismo precio por valor de 120 €

x*y=120 € (1)

El librero le regala 3 libros por lo que en realidad cada libro que cuesta 2 € menos

(x+3)(y-2)=120€ (2)

Tenemos entonces dos ecuaciones con dos incógnitas, así que podemos resolver,

Despejamos en (1)

x=120/y

Sustituimos en (2)

(120/y +3)(y-2)=120

120 - 240/y + 3y -6 =120

3y-240/y =120-120+6

3y -240/y =6

y- 80/y=6

y²-80=6y

y²-6y-80=0

Resolvemos la ecuación de segundo grado

a=1

b=-6

c=-80

Aplicando la resolvente,

(6+- √36+320)/2

6+-√356/2

(6+-18,86)/2

Como el valor de y no puede ser negativo la unica respuesta válida será:

y=12,43

Cada libro le costo 12,43€

Sustituyendo en (1)

x=120/12,43

x=9,65 como no puede ser un número racional

x=9

Lorena ha comprado 9 libros

6 0
3 years ago
2/5 meters= blank cm
vekshin1

Answer:

⅖ m = 40 cm

Step-by-step explanation:

1 meter = 100 cm

1 : 100 = 2/5 : y

1 × y = 100 × 2/5

y = 40

5 0
3 years ago
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Olivia places her pet frog on a line to observe the frog’s motion. The line is divided into sections that measure 1 centimeter e
zvonat [6]

Answer: 0

Explanation: Displacement is how far something or someone is from the starting point, in this case, the frog, so it moves 18F then 6B then 12B, so 0+18-6-12=0.

Hope this helps! :)

4 0
4 years ago
A watering can dispenses water at the rate of 0.3 gallon per minute. The original volume of water in the can was 7 gallons. Whic
Rudiy27

Answer:

A. {(1, 6.7), (2, 6.4), (3, 6.1)}

Step-by-step explanation:

The watering can dispenses water at a rate of 0.3 gallon per minute and the original volume of water in the can was 7 gallons.

Let y represent the volume of water in the can in gallons

Let x represent time in minutes

f(x) = y = 7 – 0.3(x)

When x = 1,

y = 7 – 0.3(1)

= 7 – 0.3

= 6.7

The pair will be (1, 6.7)

When x = 2,

y = 7 – 0.3(2)

= 7 – 0.6

= 6.4

The pair will be (2, 6.4)

When x = 3,

y = 7 – 0.3(3)

= 7 – 0.9

= 6.1

The pair will be (3, 6.1)

The set of ordered pairs shows the volume of water in the can in gallons (y) as a function of time in minutes (x) from the first minute after the can starts dispensing water is {(1, 6.7), (2, 6.4), (3, 6.1)}  

4 0
3 years ago
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