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Leokris [45]
3 years ago
6

John took a taxi from his house to the airport. The taxi company charged a pick-up fee of $4.70 plus $2.50 per mile. The total f

are was $24.70, not including the tip. How many miles was the taxi ride? ​
Mathematics
1 answer:
Sergio039 [100]3 years ago
7 0

Answer:

8

Step-by-step explanation:

You can solve this by creating a linear equation.

Slope: 2.50

Y-intercept: 4.70

y=2.50x+4.70

Since we know that the total fare was 24.70 we can plug it into the y.

24.70=2.50x+4.70

Now solve for the equation.

20=2.50x

8=x

So he went 8 miles with the taxi.

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dalvyx [7]

Answer:

\large\boxed{x=\dfrac{5}{4},\ y=\dfrac{15}{16}}

Step-by-step explanation:

\left\{\begin{array}{ccc}y=\dfrac{3}{4}x&(1)\\\dfrac{5}{2}x+2y=5&(2)\end{array}\right\\\\\text{Substitute}\ (1)\ \text{to}\ (2):\\\\\dfrac{5}{2}x+2\left(\dfrac{3}{4}x\right)=5\\\\\dfrac{5}{2}x+\dfrac{3}{2}x=5\\\\\dfrac{5+3}{2}x=5\\\\\dfrac{8}{2}x=5\\\\4x=5\qquad\text{divide both sides by 4}\\\\x=\dfrac{5}{4}

\text{Put the value of}\ x\ \text{to (1)}\\\\y=\dfrac{3}{4}\cdot\dfrac{5}{4}\\\\y=\dfrac{15}{16}

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Step-by-step explanation:

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The value is 7x + 6

Step-by-step explanation:

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She works as a waitress at a local Emerald Monday restaurant. Her regular hourly wage is $15.50. She regularly works 40 hours pe
lina2011 [118]

Answer:

Her regular weekly pay is $62 and her annual salary is $3100.

Step-by-step explanation:

Given that her hourly wage=$15.50 / hour

As she works 40 hours per week, so her weekly pay = 15.50 x 40 = $62/ week.

If she works 50 weeks each year, so her yearly pay = 62x50=$3100 /year.

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A bag contains 8 purple marbles &amp; 12 green marbles. You choose one marble out of the bag without looking.
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Answer:

1. P(P) = 8/20 = 0.4

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Step-by-step explanation:

Given;

Number of green marbles G = 12

Number of purple marbles P = 8

Total T = 12+8 = 20

The probability that you choose a purple marble P(P) is;

P(P) = number of purple marbles/total number of marbles

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