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Pepsi [2]
3 years ago
10

Mike took a taxi from his home to the airport. The taxi driver charged an initial fee of $6 plus $3 per mile. The total fare was

$24, not including the tip. How many miles did Mike travel by taxi on his ride? (Please show work)
Mathematics
2 answers:
snow_tiger [21]3 years ago
8 0

Answer:

x=6

Step-by-step explanation:

Put the problem into y=mx+b format we knoe the inital value b is 6 now m is 3 and y the overall price is 24. Use the distributive property.

24=6+3x y=6+3x y=24

-6  -6

<u>18</u>=<u>3x</u>

3    3

6=x

x=6

lyudmila [28]3 years ago
6 0

Answer:

6 miles

Step-by-step explanation:

let m equal miles

3m + 6 = 24

       -6      -6

3m = 18

18 / 3 = 6

6 miles

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Answer:

(10,27)

Step-by-step explanation:

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4 0
4 years ago
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Modrater give me answer<br><br>if 2x- 35273 = 5361925 than find the value of 1x <br><br>​
Nutka1998 [239]

Answer:

2x - 35273 = 5361925 \\ 2x = 5361925 + 35273 \\ 2x = 5397198 \\ x =  \frac{5397198}{2}  \\ x = 2698599

4 0
3 years ago
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(x-1)(x-3)(x+5)(x+7)=297
mihalych1998 [28]

First simplify the expression into polynomial form,

(x-1)(x-3)(x+5)(x+7)=297

x^4+8x^3-10x^2-104x+105=297

x^4+8x^3-10x^2-104x-192=0

Now factor into,

(x-4)(x+8)(x^2+4x+6)=0

Which means the solutions are,

x-4=0\implies\boxed{x_1=4}

x+8=0\implies\boxed{x_2=-8}

and then two complex solutions because determinant of the third factor D\lt0,

x^2+4x+6=0

x^2+4x+4=-2

(x+2)^2=-2\implies\boxed{x_3=i\sqrt{2}-2},\boxed{x_4=-i\sqrt{2}-2}

Hope this helps :)

5 0
3 years ago
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In the figure below, ∠DEC ≅ ∠DCE, ∠B ≅ ∠F, and segment DF is congruent to segment BD . Point C is the point of intersection betw
Rzqust [24]

Answer:

Step-by-step explanation:

Given:

∠DCE ≅ ∠DEC

∠B ≅ ∠F

DF ≅ BD

To prove:

ΔABC ≅ ΔGFE

Solution:

                  Statements                            Reasons

1). ∠DCE ≅ ∠DEC                                1). Given

2). ∠ACB ≅ ∠GEF                               2). Vertically opposite angles to the

                                                                 congruent angles.

3). ∠B ≅ ∠F                                         3). Given

4). DB ≅ DF                                         4). Given

5). DC + CB ≅ DE + EF                       5). Segment addition postulate

6). DC ≅ DE                                        6). Property of isosceles triangle

7). CB ≅ EF                                         7). Transitive property

8). ΔABC ≅ ΔGFE                              8). ASA property of congruence

4 0
3 years ago
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