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andreev551 [17]
3 years ago
11

A taxi costs 1.65 for the first mile and 0.85 for each additional mile. Which equation could be solved to find the number x of a

dditional miles traveled in a taxi given that the total cost of three trip is $20?
Mathematics
1 answer:
diamong [38]3 years ago
5 0
1.65 + 0.85x= $20
           0.85x=$18.35
                 x=21 10/17 
first you write the equation 
then you have to subtract 1.65 from the equation but you also have to subtract it from 20 
then you divide 0.85 from 0.85x and from the 18.35 left over from subtracting 1.65 from 20 
then you should get x=21 10/17 (simplified) but the decimal form is a ongoing fraction so you can just round it up to the nearest hundredth 
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kotegsom [21]

That's not a linear system, but you have an awesome school system for giving you this problem.

\dfrac 5 y - \dfrac 2 x = \dfrac{13}6

Multiply by 6xy to clear the fractions.

30x - 12y = 13 xy

That's a second degree equation, also known as a conic.  That one happens to be a hyperbola.  

30x = y(13 x +12)

y = \dfrac{30x}{13 x + 12}

Let's clear the fractions from the second equation, multiplying out common denominator xy:

\dfrac {36} x - \dfrac {24} y = 1

36y - 24 x = xy

We are being asked to find the meet of two hyperbolas, so we expect two answers, a quadratic equation.

Substituting,

36 \left( \dfrac{30x}{13 x + 12} \right) - 24 x = x \left( \dfrac{30x}{13 x + 12} \right)

36(30x) -24 x(13x + 12) = 30x^2

1080 x - 312 x^2- 288 x = 30x^2

x(792 - 342 x)= 0

x = 0 \textrm{ or } x=792/342 = \dfrac{44}{19}

We have to rule out x=0 because it's in the denominator.

y = \dfrac{30x}{13 x + 12} = \dfrac{30(44/19)}{13(44/19)+12}

y = \dfrac{33}{20}

Answer: (44/19, 33/20)

8 0
3 years ago
An infinite number of ratios are equivalent to 3:8. How
Inessa05 [86]

Answer:

See below, please!

Step-by-step explanation:

There are infinite number of ratios equivalent to 3:8 because both numbers can be multiplied by a common number or divided by a common number.

For example, 9:24 would still be equivalent to 3:8 because the common number in our case is 3. See what I mean?

Hope this helped!

3 0
3 years ago
Which relation is a function
Alenkinab [10]

Answer:

Top left

Step-by-step explanation:


In order for it to be a function, it has to pass the vertical line test.  So draw a line down the middle of the graphs.  If it passes once, then it is a function, if it passes more than once it is not.

3 0
3 years ago
I need help finding functions​
velikii [3]

Answer:

  1. y= 7
  2. y= -3
  3. y= -4
  4. y= -8

Step-by-step explanation:

y= -5x+1

=-5.-1+1

=7

Now you can do this method

3 0
3 years ago
Which equation have the same value of X as 3/5 ( 30x -15) = 72 Select 3 options A. 18x - 15 = 72 B. 50x -25=72 C. 18x -9= 72 D.
alex41 [277]

x= 4.5

18x - 9 = 72 are the equations

Stay safe!! God bless!

<3

- Elisha

8 0
3 years ago
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