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3 years ago

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A truck is carrying 10 cars weighing an average of 3,500 pounds each. What is the total weight in tons of the cars on the truck?

The total weight of the cars the truck is carrying is tons.

1 answer:

irina [24]3 years ago

4 0

The total weight is Roughly 17.5 Tons

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Find the equation of the line through the point (–2, –2) that is perpendicular to the line y = 2x – 1.

lawyer [7]

Hi student, let me help you out!

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<h3>Part 1.</h3>

Perpendicular lines have slopes that are <u>opposite inverses </u>of each other.

The opposite inverse of 2 is $\mathrm{-\cfrac{1}{2}}$ .

Now let's stick in this number into the equation $\mathrm{y=mx+b}$ :

$\mathrm{y=-\cfrac{1}{2}x+b}$ . Let's carry out several operations to determine the y intercept.

First, let's stick in -2 for x and y (Do you remember that the line passes through (-2,-2)? We're given that piece of information.)

$\mathrm{-2=-\cfrac{1}{2}\times(-2)+b}$ .

You are probably thinking, "Why did you do that and just complicate things?" Wait for it! ^-^

Upon simplifying this, we obtain: $\mathrm{-2=1+b}$ . See, it's nice and smooth now.

One last operation remains. We need to subtract 1 from both sides: $\mathrm{-3=b}$ .

∴, the equation of the line is: $\mathrm{\underline{\boxed{y=-\cfrac{1}{2}-3}}}$

Hope this helped you out, ask in comments if any queries arise.

Best Regards!

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6 0

2 years ago

A gasoline pumps delivers 4 2/5 gallons of gas per minute how many minutes will it take to fill a gas data old 16 1/2 gallon

Luba_88 [7]

4*2/5 = 22/5
16*1/2 = 33/2

22/5 ............. 1 min
33/2 ..............x min

x = 33/2 : 22/5 = 33/2 x 5/22 = 165/44 = 3,75 min

7 0

4 years ago

What is the solution of the linear-quadratic system of equations? { y = x 2 + 5 x − 3 y − x = 2

svp [43]

The two solutions for the system of equations:

y = x^2+ 5x - 3

y - x = 2

Are:

(-5, -7) and (1, -1)

<h3>How to solve the system of equations?</h3>

Here we have the following system of equations:

y = x^2+ 5x - 3

y - x = 2

We can replace the first equation into the second one to get:

(x^2+ 5x - 3) - x = 2

x^2 + 4x - 3 = 2

x^2 + 4x - 3 - 2 = 0

x^2 + 4x - 5 = 0

Using the quadratic formula, we will get the solutions:

$x = \frac{-4 \pm \sqrt{4^2 - 4*1*-5} }{2} \\\\x = \frac{-4 \pm 6}{2}$

The two solutions are:

x = (-4 - 6)/2 = -5

x = (-4 + 6)/2 = 1

To find the values of y, we can evaluate the linear equation:

when x = -5

y - (-5) = -2

y + 5 = -2

y = -2 - 5 = -7

So one solution is (-5, -7)

when x = 1

y - 1 = -2

y = -2 + 1 = -1

The other solution is (1, -1)

Learn more about systems of equations:

brainly.com/question/13729904

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5 0

1 year ago

if a company has 5 employees with annual salaries of 40,000 90,000 40,000 30,000 and 80,000 respectively what is the mean annual

I am Lyosha [343]

Answer:

$56,000

Step-by-step explanation

The mean is the average so add all of the numbers together and divide by how many numbers there are.

30000+40000+40000+80000+90000=280,000

280,000/5 = 56,000

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3 years ago

HELP<br> PLEASE MATH 20 pts timed test

kherson [118]

Answer:

Step-by-step explanation:

270.27=234(1+5*i)

i= 3.1%

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3 years ago