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artcher [175]
3 years ago
7

Find the distance traveled at the given speed and time using d=rt and r= 32mph and t= 4.5hr.

Mathematics
2 answers:
sveta [45]3 years ago
6 0

We are told that r = 32 mph and t = 4.5 hrs and that d = rt. r and t are together by multiplying. Thus, d = rt = (32)(4.5) = 144 miles.

We use miles as the unit because the hours from the rate in the simplify to one with the hours in the time.

So d = 144 miles.

Goshia [24]3 years ago
3 0

Hello!

As you can see, our distance is the product of our rate and time. Let's multiply below.

32(4.5)=144

Therefore, you would have traveled 144 miles.

I hope this helps!

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Find the slope and the y-intercept of the equation below:
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Answer:

  1. m = 4/3; b = -4
  2. m = 3; b = -6

Step-by-step explanation:

In each case, <em>solve for y</em>. You do this by getting the y-term by itself, then dividing by the coefficient of y.

<h3>1.</h3>

  -3y = -4x +12 . . . . . subtract 4x

  y = 4/3x -4 . . . . . . . divide by -3

The slope is 4/3; the y-intercept is -4.

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<h3>2.</h3>

  y = 3x -6 . . . . . . divide by 2

The slope is 3; the y-intercept is -6.

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<em>Additional comment</em>

Whatever you do to one side of the equation, you must also do to the other side. When we say "subtract 4x", that means 4x is subtracted from both sides of the equation. The reason for doing that in the first equation is to eliminate the 4x term from the left side.

(Sometimes, you may see operations described as "move ...". There is no property of equality called "move." There are <em>addition</em>, <em>subtraction</em>, <em>multiplication</em>, <em>division</em>, and <em>substitution</em> properties of equality. Any equation solving process will make use of one or more of these.)

8 0
2 years ago
Dwight spent $250 to rent a jet ski for 6 hours. The rental company charges a base rate of $150 for the first two 2 hours, and t
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Each additional hour or rental costs $25.

Step-by-step explanation:

Given equation is;

4h+150=250    Eqn 1

Where 150 is the cost for first 2 hours and 4h is the cost for remaining hours.

Total cost = $250

Solving Eqn 1

Subtracting 150 from both sides

4h+150-150=250-150\\4h=100

Dividing both sides by 4

\frac{4h}{4}=\frac{100}{4}\\h=25

Each additional hour or rental costs $25.

Keywords: linear equation, subtraction

Learn more about subtraction at:

  • brainly.com/question/13174254
  • brainly.com/question/13174255

#LearnwithBrainly

6 0
3 years ago
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