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1 year ago

The number y of perfume bottles in storage after x months is represented by the equation y=-20x+460 . Graph the equation.

Mathematics

1 answer:

Dahasolnce [82]1 year ago

4 0

The graph of the linear equation can be seen in the image at the end.

<h3 /><h3>How to graph the linear equation?</h3>

Here we have the following linear equation:

y = -20*x + 460

To graph the line, we need to find two points on the line, then graph these, and graph a line that connects them.

To get the points, we need to evaluate the linear equation in two values of x.

if x = 0

y = -20*0 + 460

y = 460

if x = 10

y = -20*10 + 460

y = -200 + 460

y = 260

So we have the points (0, 460) and (10, 260), then the graph of the line is:

Learn more about linear equations:

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What is this answer -1/2+3/4=

Over [174]

Answer:

1/4

Step-by-step explanation:

-1/2 (2/2) -> -2/4

-2/4 + 3/4 = 1/4

7 0

3 years ago

A grasshopper jumps straight up from the ground with an initial vertical velocity of 8 feet per second. After how many seconds w

vlabodo [156]

Answer:

Problem 1 : After 0.25 s

Problem 2 : The squirrel doesn't reach the ground before the nut

Step-by-step explanation:

Problem 1

This is a standard physics problem

The equation that defines the movement of the grasshopper given the initial velocity, and the acceleration is the following

Distance = Do + Vo*t + 0.5*a*t^2

Where

Do is the initial distance.

(Do = 0, because the grasshopper is on the ground and we choose the reference system there)

Vo is the initial velocity = 8 feet/sec

a is the acceleration that is exerted on the body (in this case a = g = -9.8 m/s^2 = - 32.174 feet per second per second.)

t is the time

We substitute in the equation, and solve for t (time)

Distance = Do + Vo*t + 0.5*a*t^2

(1 foot)= (0)+ (8 feet/s)*t + 0.5*(-32.174 feet/s^2)*t^2

Solving this equation, we get that

t = 0.25 s

Problem 2

This problem is similar to the previous one

We apply the same formula

D = Do + Vo*t + 0.5*a*t^2

But in this case, we are going in the opposite direction, and we have an initial distance.

Do = 27 feet

Vo is the initial velocity of the nut = -6 feet/s

D = 0 (Ground)

We substitute in the equation, and solve for t (time)

(0) = (27) + (-6 feet/s)*t + 0.5*(-32 feet/s^2)*t^2

t = 1.125 s < 2s

The nut reaches ground in 1.125 s, so the squirrel doesn't reach the ground before the nut

4 0

4 years ago

Please help hard math good points

Elis [28]

Try B...because the points meet at a intersection

4 0

3 years ago

22% of the customers visiting the suit department of a certain store will purchase a suit, 30% will purchase a shirt and 28% wil

Ulleksa [173]

Answer:

If there are 1000 customers in the store one week, how many will purchase exactly one of these items

1000 CUSTOMERS*28%=280

Step-by-step explanation:

A The event that a persons buys a suit

B The event that a person buys a shirt

C The event that a person buys a tie

P(A)= 22%

P(B)= 30%

P(C)= 28%

P(AB)= 11%

P(AC)= 14%

P(BC)= 10%

P(ABC)= 6%

A u B u C Is the event that any item is bougth

AC u AC u BC Is the event that any two events occured

So the wanted probability is

P[(A u B u C )(AB u AC u BC)^c

P[(A u B u C )=P(AB)+ P(BC)+P(BC)

P[(A u B u C ) =0.22+0.30+0.28-0.11-0.14.-0.10+0.06

=0,51

0,51=+0,23+P[(A u B u C )(AB u AC u BC)^c

=0,28

1000 CUSTOMERS*28%=280

6 0

3 years ago

A clothing salesman want to earn $6000 in March. He receives a base salary of $4000 per mont as well as a 10% commission for all

N76 [4]

He would have to sell $20,000 worth of clothes to get $2,000

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3 years ago