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patriot [66]
3 years ago
12

Describe what slope is and what the numerator and denominator represent for slope (such as 3/4). Give 2 examples of where slope

can be found in the real world.
Mathematics
1 answer:
Tom [10]3 years ago
6 0
So slope is known as rise over run, or x/y. in your case of 3/4, the slope is y=3 and x=4. The slope is equal to the growth rate. It measures steepness, so in real life you could apply it to finding the steepness of a hill for construction, or perhaps how steeply your speed grows from 0 to 100 when driving a car.
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In a large school district, for every one male teacher, there are three female teachers. Four teachers are selected at random to
serg [7]

Answer:

It would be a female teacher 3 out of 4 times, and male 1 out of 4. You could make a circle, divide it into quarters, make a spinner and likely get male once of four times.

6 0
2 years ago
Autumn drives 825 miles to Florida. The trip takes her 17 hours. She uses 38 gallons of gas on the trip, which cost her $125. Fi
Dmitry [639]
speed \: equals \: distance \div time
speed equals 825 divided by 17
speed equals to 48.5miles per hour

gas mileage equals to 825/38
gas mileage equals to 21.7


125/38 equals to 3.3 unit price
8 0
3 years ago
A new game system was priced at $500 when it was introduced to the market. Over the
muminat

Answer:

FV= $436.72

Step-by-step explanation:

Giving the following information:

Initial cost (PV)= $500

Decrease rate (d)= 7% per year

Number of periods (n)= 2 years

<u>To calculate the future value after 2 years, we need to use the following formula:</u>

FV= PV / (1 + d)^n

FV= 500 / (1.07^2)

FV= $436.72

8 0
2 years ago
The cost, C, to produce b baseball bats per day is modeled by the function C(b) = 0.06b2 – 7.2b + 390. What number of bats shoul
kozerog [31]

Check the picture below, that's just an example of a parabola opening upwards.

so the cost equation C(b), which is a quadratic with a positive leading term's coefficient, has the graph of a parabola like the one in the picture, so the cost goes down and down and down, reaches the vertex or namely the minimum, and then goes back up.

bearing in mind that the quantity will be on the x-axis and the cost amount is over the y-axis, what are the coordinates of the vertex of this parabola?  namely, at what cost for how many bats?

\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ C(b) = \stackrel{\stackrel{a}{\downarrow }}{0.06}b^2\stackrel{\stackrel{b}{\downarrow }}{-7.2}b\stackrel{\stackrel{c}{\downarrow }}{+390} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)

\bf \left( -\cfrac{-7.2}{2(0.06)}~~,~~390-\cfrac{(-7.2)^2}{4(0.06)} \right)\implies (60~~,~~390-216) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (\stackrel{\textit{number of bats}}{60}~~,~~\stackrel{\textit{total cost}}{174})~\hfill

6 0
3 years ago
Compute the fare without tip: 1 passenger, 9.5 miles. Round to nearest fifth of a mile when dividing.
vladimir1956 [14]

The fare without tip for the Metro Taxi is of 1 passenger and 9.5 miles is $27.83.

The given parameters:

  • <em>Number of passenger = 1</em>
  • <em>Total distance = 9.5 miles</em>
  • <em>Cost of first 0.2 mile = $0.75</em>
  • <em>Cost of additional mile = $0.55</em>
  • <em>Cost of a passenger = $1.50</em>

The fare without tip for the Metro Taxi is calculated as follows;

  • for the first 0.2 mile = $0.75
  • the remaining distance = 9.5 - 0.2 = 9.3 miles

cost \ of \ distance = \$ 0.75 \ \ + \ \ \frac{\$ 0.55}{0.2 \ mile} \times 9.3 \ miles\\\\cost \ of \ distance =  \$ 26.325

Cost of 1 passenger = $1.50

The total cost is calculated as follows;

total cost = $1.50 + $26.325

total cost = $27.83

Thus, the fare without tip for the Metro Taxi is of 1 passenger and 9.5 miles is $27.83.

The complete question is below:

Compute the fare without tip: 1 passenger, 9.5 miles. Round to nearest fifth of a mile when dividing.

Metro Taxi: first 1/5 mi= $0.75, each additional 1/5 mi= $0.55, each additional passenger= $1.50.

Learn more about cost per miles here: brainly.com/question/2513267

8 0
2 years ago
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