What is 6 hours equal to in minutes

cluponka [151]

Step-by-step explanation:

the second line has to be parallel (but not identical), so that the 2 lines do not cross each other, do not have any point in common.

that means it must have the same slope but a different y-intercept.

the line in the graph goes through the origin (0, 0), which makes the y-intercept = 0 (the y value when x = 0).

and we see that the points with integer coordinates seem to be e.g. (3, -2).

so, for the slope (y difference / x difference between 2 points) we use this point and the origin.

x changes by +3 (from 0 to 3).

y changes by -2 (from 0 to -2).

so, the slope is -2/3. and it is always the factor of x.

let's look at the answer options :

2x + 3y = 0

3y = -2x

y = (-2/3)x

this is the identical line, so it is wrong !

2x + 3y = 6

3y = -2x + 6

y = (-2/3)x + 2

the same slope and different y-intercept.

this is the correct solution !

2x - 3y = 9

-3y = -2x + 9

y = (2/3)x - 3

wrong slope. so it is wrong !

y = 3x + 2

wrong slope. so it is wrong !

5 0

3 years ago

The quantity demanded x of a certain brand of DVD player is 3000/week when the unit price p is $485. For each decrease in unit p

ANTONII [103]

Answer:

Demand Equation: q = 15125 - 25p.

Supply Equation: 80p - 24000 = 9q.

Equilibrium Price: $525.

Equilibrium Quantity: 2000 units.

Step-by-step explanation:

To solve this question, first, the demand equation has to be calculated. Let price be on the y-axis and quantity by on the x-axis. It is given that p = $485 when q = 3000 units. This can also be written as (q₁, p₁) = (3000, 485). It is also given that when the price goes down by $20, the quantity increases by 500 units. Therefore, (q₂, p₂) = (3500, 465). Due to the statement "For each decrease in unit price of $20 below $485, the quantity demanded increases by 500 units", the demand function will be linear i.e. a straight line. This is because the word "for each" has been used. Therefore, finding the equation of the demand function:

(p - p₁)/(q - q₁) = (q₂ - q₁)/(p₂ - p₁).

(p - 485)/(q - 3000) = (465 - 485)/(3500 - 3000).

(p - 485)/(q - 3000) = (-20)/(500).

(p - 485)/(q - 3000) = -1/25.

25*(p - 485) = -1*(q - 3000).

25p - 12125 = -q + 3000.

25p + q = 15125.

q = 15125 - 25p. (Demand Equation).

Second, find the supply equation. It is given that the suppliers will not sell the product below or at the price of $300. Therefore, (q₁, p₁) = (0, 300). Also, the suppliers will sell 2000 units if the price is $525. Therefore, (q₂, p₂) = (2000, 525). Since it is mentioned that supply equation is linear, therefore:

(p - p₁)/(q - q₁) = (q₂ - q₁)/(p₂ - p₁).

(p - 300)/(q - 0) = (525 - 300)/(2000 - 0).

(p - 300)/(q) = (225)/(2000).

(p - 300)/(q) = 9/80.

80*(p - 300) = 9*(q).

80p - 24000 = 9q. (Supply Equation).

Equilibrium exists when demand = supply. This means that the demand and the supply equations have to be solved simultaneously. Therefore, put demand equation in supply equation:

80p - 24000 = 9(15125 - 25p).

80p - 24000 = 136125 - 225p.

305p = 160125.

p = $525.

Put p = $525 in demand equation:

q = 15125 - 25p.

q = 15125 - 25(525).

q = 15125 - 13125.

q = 2000 units.

To summarize:

Demand Equation: q = 15125 - 25p!!!

Supply Equation: 80p - 24000 = 9q!!!

Equilibrium Price: $525!!!

Equilibrium Quantity: 2000 units!!!

8 0

3 years ago

Solve for y.<br> 5. x = 1/3y +2

maxonik [38]

Answer: y=3x-6

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

An electrician needs to cut a 49 m piece of wire into two pieces so that one piece is 5 m longer than the other piece. What is t

gulaghasi [49]

The length of the shorter wire that the electrician cuts so that the difference between those two is of 5 m is 22.5.

Given to us

An electrician needs to cut a 49 m piece of wire into two pieces so that one piece is 5 m longer than the other piece.

<h3>What are the two equal parts of the wire?</h3>

We know that the length of the wire is 49 m, therefore, to cut the wire in two equal parts divide the total length of the wire by two,

$\dfrac{49}{2} = 24.5$

Thus, the length of each side will be 24.5.

<h3>What is the length of the shorter piece of wire?</h3>

Since we need to cut the wire such that one side of the wire is 5 less than the other, we already know the length of the equal sides deduct (5/2) from both sides to create a difference between the length of the wire.

Length of the shorter wire = 24.5 -2.5 = 22.5

Length of the longer wire = 22.5 + 5 = 27.5

Hence, the length of the shorter wire that the electrician cuts so that the difference between those two is of 5 m is 22.5.

Learn more about Lengths:

brainly.com/question/8552546

3 0

2 years ago

Solve -2(n + 5) + 6n = 14 for n.

Murrr4er [49]

Answer:

n=6

Step-by-step explanation:

Given -> -2(n+5)+6n=14

Distributive Property -> -2n-10+6n=14

Combine like terms -> 4n-10=14

Add 10 to both sides -> 4n=24

Divide both sides by 4 -> n=6

So n=6

6 0

3 years ago

What is 6 hours equal to in minutes​

What is 6 hours equal to in minutes