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lesya [120]
3 years ago
15

A small​ plane's maximum takeoff weight is 2000 pounds or less. six passengers weigh an average of 150 pounds each. use an inequ

ality to find the luggage and cargo weights the plane can carry.
Mathematics
2 answers:
Agata [3.3K]3 years ago
8 0
@Admins Brainly | Pending....
Annette [7]3 years ago
3 0

Answer:

The cargo and luggage weights have to be 1100 pounds or less.

Step-by-step explanation:

If six passengers weigh an average of 150 pounds each, all six passengers weigh 150 x 6 = 900 pounds.

Therefore, the total passenger's weight is 900 pounds.

Now, let's call the luggage and cargo weight x.

We know that the luggage and cargo weight plus the passengers weight has to be 2000 pounds or less.

If we write this as an inequality we get:

x + 900 ≤ 2000

x ≤ 2000 - 900

x ≤ 1100.

Therefore, the luggage and cargo weights have to weight 1100 pounds or less.

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MrMuchimi

Answer:

C  20

Step-by-step explanation:

Set up equations:

Laguna's Truck Rentals

y = 2x + 20

Where x is the number of miles driven and y is the total price

<em>How did we get to this equation?</em>

Well, the company charges $2 for every mile driven. Therefore, by multiplying 2 and x, you will find the price paid per mile. The 20 (which represents $20) is the one-time payment you pay for simply using the service.

Salvatori's Truck Rentals

y = 3x

Where x is the number of miles driven and y is the total price

<em>How did we get to this equation?</em>

For this company, you only pay for how many miles you drive. There isn't a one-time payment like there is for Laguna's Truck Rentals. Therefore, you only need to multiply the price per mile ($3) by the number of miles driven (x).

Set the equations equal to each other:

2x + 20 = 3x

<em>Why would you do this?</em>

We need to set the equations equal to each other because we need to find the point at which the prices are the same. When two things are the same, they are equal. Therefore, we get rid of the y variable (which represents the total price) because we want to find the value of x when the equations are equal to one another.

Solve:

2x + 20 = 3x

Subtract 2x on both sides:

2x + 20 = 3x

-2x           -2x

20 = x

When x is equal to 20, or when the number of miles driven is 20, the total price of the Truck Rental services is the same.

Hope this helps :)

4 0
3 years ago
Write in y= mx + b form: a line through (-3,1) having the same y-intercept as the graph of x-2y=-4
MariettaO [177]

Step-by-step explanation:

Aight, so the same intercept

- 2y =  - 4 - x =  =  =  >  \\ y =  \frac{1}{2} x + 2

m=½

y =  \frac{1}{2} x + b =  =  =  >  \\ now \: let \: us \: replace \: the \: point \\ 1 =  \frac{1}{2} ( - 3) + b =  =  =  >  \\  \frac{5}{2}  = b

soooo

y =  \frac{1}{2} x +  \frac{5}{2}

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