Anthony took a taxi from his house to the airport. The taxi company charged a pick-up fee of $2.60 plus $3 per mile. The total fare was $35.60, not including the tip. Write and solve an equation which can be used to determine xx, the number of miles in the taxi ride.

Answers

Answer 1

Answer:

Equation: 35.60 = 2.60 + 3x

It was 11 miles

Step-by-step explanation:

35.60 = 2.60 + 3x

3x = 33

x = 11

Answer 2

The linear function for the fare is:

[tex]F(x) = 2.6 + 3x[/tex]

Solving the equation, it is found that the taxi ride was of 11 miles.

A linear function for a cost considering a distance of x miles has the following format:

[tex]F(x) = F(0) + ax[/tex]

In which

F(0) is the fixed cost.a is the cost per mile.

In this problem:

Pick-up fee of $2.60, thus [tex]F(0) = 2.6[/tex]Cost per mile of $3, thus [tex]a = 3[/tex].

The function is:

[tex]F(x) = 2.6 + 3x[/tex]

Fare of $35.60, thus [tex]F(x) = 35.60[/tex] and we solve for x to find the number of miles.

[tex]35.6 = 2.6 + 3x[/tex]

[tex]3x = 33[/tex]

[tex]x = \frac{33}{3}[/tex]

[tex]x = 11[/tex]

There were 11 miles in the taxi ride.

A similar problem is given at https://brainly.com/question/16302622


Related Questions

I need help now plzzzz

Answers

Step-by-step explanation:

I think Option A is your answer ☺️☺️☺️

Option C is your answer
C:6

Please help need answers ASAP

Answers

Answer:

0.527

Step-by-step explanation:

From the question,

The sequence is Geometry Progression (G.P)

Tₙ = arⁿ⁻¹.......................... Equation 1

Where n = number of term, a = first term, r = common ratio

Given: n = 7, a = 6, r = 2/3

Substitute these values into equation 1

T₇ = 6(2/3)⁷⁻¹

T₇ = 6(2/3)⁶

T₇ = 6(64/729)

T₇ = 384/729

T₇ = 0.527

Hence, the 7th term of the sequence is 0.527

if you cycled for 3 hours and travelled 54 km calculate your average speed​

Answers

Answer:

18 km/h.

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Answer:

Step-by-step explanation:

[tex]s=\frac{d}{t}\\ \\ s=\frac{54km}{3hr}\\ \\ s=18\frac{km}{hr}[/tex]

how many square feet of outdoor carpet will we need for this hole

Answers

Answer:

Step-by-step explanation:

area=(6+3)/2×4+7×3+1/2×2×3

=18+21+3

=42 ft²

The sum of m and 10
Twenty-four decreased by a number c
Twelve more than eight
The product of three and seven diminished by five
Six multiplied by the sum of seven and a
The quotient of y and negative five
The difference between x and y divided by three
Divide the sum of the square of a and b thrice c

Answers

Answer:

m + 10c - 248 + 12 (3×7) - 5(7 + a) × 6y ÷ (-5)(x - y) ÷ 3[tex] {(a + b)}^{2} \div 3c[/tex]

MYSTERY NUMBER OF POINTS . Hint its 100. Solve to receive.
7m + 3y - 2m + y + 8
ANSWER
5m + 4y + 8
Have a great day

Answers

Answer:

5m + 4y + 8 is the answer or are you asking for the answer-?

Answer:

thank you

have a good day..❤

Find the ratio of Rs.50 to 100 paise​

Answers

Answer:

50:1

Step-by-step explanation:

Rs50=Rs50

100 paise= Rs1

Ratio = 50:1          [ cant be simplified further]

I hope im right!!

Another way:

Rs50= 50 x 100 = 5000 paise

100 paise= 100 paise

Ratio = 5000: 100

[tex]\frac{5000}{100}[/tex] ÷ [tex]\frac{100}{100}[/tex] = [tex]\frac{50}{1}[/tex]

Ratio = 50:1

SOMEONE PLEASE HELP. !! ASAP!! NO BULL ANSWERS !!

Answers

Answer: does this count as a bull answer

Step-by-step explanation:

Answer:

(3,-3)

Step-by-step explanation:

I hope this helps you on your journey to success.

Colin invests £100 into his bank account.
He receives 4% per year compound interest.
How much will Colin have after 7 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer: £100×104/100×104/100×104/100×104/100×104/100×104/100×104/100

=131.59

hey please help with this question( no links!!)

Answers

So the area of a circle is pi times the radius squared.
A= pi*r^2
The radius here is the diameter divided by 2.
radius = 16/2
r = 8
A= 3.14*(8)^2
A= 3.14*64
A= 200.96

C. 200.96 in^2

Answer:

d. 200.96 sq. in

Step-by-step explanation:

radius = diameter/2 = 16/2 = 8

Area of the circle = pi x r²

= 3.14 x 8²

= 3.14 x 64

= 200.96

252/550.3 PLSSSSS HELP IM IN THE MIDDLE OF CLASS HELP PLS

Answers

Answer: 2.1

Step-by-step explanation:

I don’t know if this is right but I think 2.1

answer fast please

Calculate the slope of the line going through A(-4,3) and B(0,6)

Answers

Answer:

[tex] \frac{3}{4} [/tex]

Step-by-step explanation:

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]m = \frac{6 - 3}{0 - ( - 4)} [/tex]

[tex]m = \frac{6 - 3}{0 + 4} [/tex]

[tex]m = \frac{3}{4} [/tex]

Z is the center of the circle. Suppose that QR = 26, TV = 13, SV = 2x + 1, and VZ = 8. Find x and UZ.

Answers

X=20
26+13+1+8=58

X=2 so 58/2 is 29 so x is 29. And to find the vz you just plug it in 29 into the equation 2x+1 2(29)+1=59

Tomiko has a 1:24 scale drawing of her house. In the drawing the dimensions of the rectangular kitchen are 5 3/4 inches by 4 1/4 inches. What is the area, to the nearest square foot of Tomiko's actual kitchen?

Answers

Answer: 9 4/4 or 10 whole

Step-by-step explanation:

7) Samantha has saved $100 to buy a new laptop. Each month, she saves $15 towards the laptop. What expression could be used to find the total amount saved after M months? Explain why
pliss i need it for today

Answers

Answer:

Step-by-step explanation: Have you used my tutor because it works and helps me by them explaining every step.

https://app.paper.co/dashboard

This is not a virus just saying, my school uses this by the way.

The area of a square field of side 13 m is​

Answers

Answer:

169 sq m

Step-by-step explanation:

= 13 × 13 = 169 sq m.

if 4x^2 - 100 = 0, the roots of the equation are

Answers

Answer:

±5

Step-by-step explanation:

4x²-100=0

4x²=100

x²=100/4

x²=25

x=√25

x=±5

Answer:

4x^

Step-by-step explanation:

4x^2 = 100

4x^2/4 = 100/4

x^2=25

x=5

Need answers ASAP. GIving out brainliest if possible!

Answers

Answer:

if you mulitply (19*19*27*10*10) you get:

974700

5 x +4+=34

6y+3=45

8z - 7=57

11t-16=39

2n -6=12+4

3z+4=22???

Answers

Answer:

z=6

Step-by-step explanation:

3z +4=22.3z+4-4=22-4.3z=18.3_3=18_3

can someone please help I’m trying to get my grades up it’ll be greatly appreciated

Answers

Answer:

A. 4

B. 8

Step-by-step explanation:

Fully factorise 12r + 16

Answers

Answer:

4(3r+4)

Step-by-step explantion:

The factorized form of the given expression is 4(3r+4).

The given expression is 12r+16.

What is factorization?

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

Factorization of the expression 12r+16 is as follows

Here, in terms 12r=2×2×3×r and 16 =2×2×2×2, we have 4 has common factor

So, 4(3r+4)

Hence, the factorized form of the given expression is 4(3r+4).

To learn more about the factorization visit:

https://brainly.com/question/26923098.

#SPJ2

plz answer don't send link ​

Answers

Here you go the answer is in the picture

Is f<12 true or false

Answers

True becuase it works on a graph

If 7 : 11 :: x : 154, then x is

Answers

Answer:

98

Step-by-step explanation:

7 : 11 :: x : 154

Also,

[tex] \frac{7}{11} = \frac{x}{154} [/tex]

[tex] = > \frac{x}{154} = \frac{7}{11} [/tex]

[tex] = > x = \frac{7 \times 154}{11} [/tex]

=> x = 7 × 14

=> x = 98 (Ans)

Does anyone know how to do this?

Answers

Answer:

1)X+4=2x-17+10

X. =2x-7-4

11=X

DF=11+4

=15

2)FH~

11x+71=12x+32

12x-11x =71-32

X=39

FH=(11×39)+71+(12×39)+32

=1000

3)57+39+8x-12=180

8x+84-84=180-84

8x=96

X=12

4)11x+2=68

11x=66

X=6

5)114+X+37+X=139

2x+151. -151=139-151

X=-6

Answer:

1. x=11

2. x=39

3. x= 12

4. x=6

5. x=-6

Step-by-step explanation:

1. x+4= 10+2x-17

FG=GH

x+4=2x-7

11=x

2. 11x+71=12x+32

subtract from both sides

39=x

3. All angles of a triangle add to 180.

39+57+(8x-12)=180

96+(8x-12)=180

8x-12=84

8x=72

divide both sides by 8

x=9

4. Vertical angles are equal

68=11x+2

66=11x

divide

6=x

5. (114+x)+(37+x)=139

Add like terms

151+2x=139

subtract

2x=-12

x=-6

what is 9-3 divied by 1/3 + 1 =

Answers

Answer:

1

Step-by-step explanation:

3 divided by 1/3 is 9, and 9-9=0

0+1=1

1

Step-by-step explanation:

Using long division to find the quotient, what changes do you first
need to make to the dividend (125x3 - 8)?


(125x3 – 8) = (5x – 2)

Answers

Answer:

[tex]\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4[/tex]

Step-by-step explanation:

Given

[tex]Dividend = 125x^3 - 8[/tex]

[tex]Divisor = 5x - 2[/tex]

Required

Determine the quotient

See attachment for complete process.

First, divide 125x^3 by 5x

[tex]\frac{125x^3}{5x} =25x^2[/tex]

Write [tex]25x^2[/tex] at the top

Multiply [tex]5x - 2[/tex] by [tex]25x^2[/tex]

[tex]= 125x^3 - 50x^2[/tex]

Subtract from 125x^3 - 8

i.e.

[tex]125x^3 - 8 - (125x^3 - 50x^2) = 50x^2 - 8[/tex]

Step 2:

Divide 50x^2 by 5x

[tex]\frac{50x^2}{5x} = 10x[/tex]

Write [tex]10x[/tex] at the top

Multiply [tex]5x - 2[/tex] by [tex]10x[/tex]

[tex]= 50x^2 - 20x[/tex]

Subtract from 50x^2 - 8

i.e.

[tex]50x^2 - 8 - (50x^2 - 20x) = 20x - 8[/tex]

Step 3:

Divide 20x by 5x

[tex]\frac{20x}{5x} = 4[/tex]

Write [tex]4[/tex] at the top

Multiply [tex]5x - 2[/tex] by [tex]4[/tex]

[tex]= 20x - 8[/tex]

Subtract from 20x - 8

i.e.

[tex]20x - 8 - (20x - 8) = 0[/tex]

Hence:

[tex]\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4[/tex]

PLEASE HELP !! 100 POINTS !! (and brainliest)

Find the area for the following figure. Explain or show how you got your answer.

Answers

Answer:

area =no of full square + half square =24+1/2×5=26.5 unit ²

AP LANG HW
-can someone please help me with it... i have 30 missing assignments and the deadline is tonight

Answers

Answer:

ill try and help you but im on the same string rn too i have 12 assignment to do 2nite too

Step-by-step explanation:

Please help me answer this question!

Answers

aquurrr said omgggg what is that
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