The taxi fare in Metropolis is $3.75 for the first mile and additional mileage charged at the rate of $0.30 for each additional 0.1 mile. You plan to give the driver a $3 tip. How many miles can you ride for $20.

Answers

Answer 1

Answer:

Total charge

=

$

4.25

+

$

1.50

(

m

1

)

Total charge for 12 miles  

=

 

$

20.75

Explanation:

Building the rule

The trick with algebra is to think what you would do with numbers, then substitute letters.

Mile number 1 costs

$

4.25

The rest of the miles

(

total miles

1

)

×

$

1.50

Putting this all together we have:

$

4.25

+

(

total miles

1

)

×

$

1.50

The question instructs that we are to use the letter m for the total miles so we now have:

$

4.25

+

(

m

1

)

×

$

1.50

This would be written as:

$

4.25

+

$

1.50

(

m

1

)

So

 Total charge

=

$

4.25

+

$

1.50

(

m

1

)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Determine the charge for 12 miles

Total charge

=

$

4.25

+

$

1.50

(

12

1

)

Total charge

=

$

4.25

+

$

1.50

(

11

)

Total charge for 12 miles

=

$

4.25

+

$

16.50

 

=

 

$

20.75

Hope this helps you...

:)

Answer 2

Answer:

133 miles

Step-by-step explanation:

3.75 + 3 = 6.75

round to 6.80

20 - 6.80 = 13.2

13.2 / 0.1  = 132

132 + 1 the first mile that you payed $3.75


Related Questions

At 9:00 a.m., the wind speed at Harbor Bay was recorded. After that, the wind speed was recorded every hour. Each measurement showed an increase in wind speed of 3 miles per hour. The strongest wind was recorded at 4:00 p.m., and measured 52 miles per hour. After that, the wind speeds started to decrease. How windy was it when the experiment began?

Answers

Answer:

The wind speed was 31 miles per hour when the experiment began.

Step-by-step explanation:

Linear Dependency

The wind speed is known to increase at a rate of 3 miles per hour every hour.

From 9:00 a.m. to 4:00 p.m. there are 7 hours.

Thus, the speed increased by 7 * 3 = 21 miles per hour during that period of time.

Assuming the wind increased linearly, and its speed was measured at 52 miles per hour at 4:00 p.m., then the initial speed at 9:00 a.m. is calculated by subtracting:

52 miles / hour - 21 miles / hour = 31 miles / hour

The wind speed was 31 miles per hour when the experiment began.

Answer:

The wind speed was 31 miles per hour when the experiment began.

Step-by-step explanation:

My teacher reviewed the test and said all the right answers.

A fruit stand has to decide what to charge for their produce. They need $10 for 4 apples and 4 oranges.
They also need $15 for 6 apples and 6 oranges. We put this information into a system of linear equations.
Can we find a unique price for an apple and an orange?
Choose 1 answer:
A)
Yes; they should charge $1.00 for an apple and $1.50 for an orange.
(B)
Yes; they should charge $1.50 for an apple and $1.00 for an orange.
©
No; the system has many solutions.
(D
No: the system has no solution.

Answers

Answer:

C

Step-by-step explanation:

Answer:

C. The System has Many solutions.

Step-by-step explanation:

x=apples

y=oranges

(10=4x+4y) x3

(15=6x+6y) x2

30=12x+12y

-30=12x+12y

0

The system has many solutions.

Solve for x: 7x + 15 = 38

A: 23/7
B: 53/7
C: 23
D: 53

Answers

Answer: A

Step by Step: to isolate 7x, subtract 15 from both sides of the equation. 15-15=0. 38-15=23.

now the equation is 7x=23

finally, to completely isolate the variable, divide 7 from both sides. 7x/7= x. 23/7=23/7 because it cannot be simplified further unless you want it to be a decimal.

so the answer is A, 23/7

This table shows the total cost, t, in dollars, of a movie rental when the movie is rented d days.







Which equation represents the data in the table?



t=3d


t=d+6


t=2d+3


t=12d+9

Answers

t=3d based on the information given

Answer:

t=2d+3

Step-by-step explanation:

Maura runs 5 miles in 1.25 hours. Ava runs 3 miles in 50 minutes, or 0.83 hour.
Who runs faster?

Answers

Answer: Maura runs faster

Step-by-step explanation:

CAN SOMEONE HELP ME WITH PATTERN 1

Answers

1- 6
2- 4
3- 2
And that’s all I can tell you? It’s decreasing so I don’t think 10 would have any stars unless if negative numbers are allowed

i will give brainliest if you tell me how to give it

Answers

Answer:

4

Step-by-step explanation:

its a crown by report

Answer:

When two people answer the question a crown pops up on your screen then you look at the answer you like best and click the crown. By the way the answer is 4.

Step-by-step explanation:

Please mark me my first brainliest

2. Suppose there are 6 million people in New York City that walk an average of 2.5 miles per day. If we add up all the miles walked by these 6 million how many times around the Earth would these walkers have gone? Assume the distance around the Earth is 2.5 * 10 ^ 4 miles. Write your result in scientific notation.

Answers

Answer:

600 times

Step-by-step explanation:

Given

Number of people:

6 million = 6*10^6

Distance to walk:

2.5 miles per day per person

Distance around the Earth

2.5*10^4Solution

Total distance walked:

6*10^6*2.5 = 15*10^6

The ratio of total distance to the distance around the Earth:

15*10^6 / 2.5*10^4 = 6*10^2 = 600 times

Number of people:

6 million = [tex]6[/tex] × [tex]10^{6}[/tex]

Distance to walk:

2.5 miles every day per person

Distance around the Earth

[tex]2.5[/tex] ×[tex]10^{4}[/tex]

Total distance walked:

[tex]6[/tex] × [tex]10^{6}[/tex] × [tex]2.5[/tex] [tex]= 15[/tex] × [tex]10^{6}[/tex]

The ratio of total distance to the distance around the Earth:

[tex]15[/tex] × [tex]10^{6}[/tex] / [tex]2.5[/tex] × [tex]10^{4}[/tex] = [tex]6[/tex] × [tex]10^{2}[/tex] = [tex]600[/tex]

what is x and y:
5x-y=22
x=5y=(-6)

Answers

Answer:

-30, this answer is -30.

Simplify each expression by combining like terms.
1) 11x + 9x
2) 8y - 7y
3) 5t - 7t
4) -n + 4n
5) 5w^2 + 12w^2

Answers

1.) 20x
2.) 1y
3.)-2t
4.)3n
5.)17w^2

30$ with a sales tax of 6%

Answers

Answer:

Price with tax - $31.8

Tax cost - $1.8

The rental rate for a cement mixer has a flat rate of $40 plus $20 for each day of the rental. The graph shows points representing the total cost of the rental. Which linear equation, in slope-intercept form, that models the total cost of the rental over time? y = 20x +40 y = x + 50 y = 50x + 25 y = 25x y = 75x

Answers

Answer:

Step-by-step explanation:

y= 20x+40

y- is the cost of rental

x-number of days

20 is the slope

40-flat rate and the y-intercept is at (0,40)

what is the equation a line passes through the points p(2,4) q(-1,3)​

Answers

Find slope: (y2-y1)/(x2-x1)
(3-4)/(-1-2) = -1/-3 = 1/3
Y = 1/3x + b
4 = 1/3(2) + b
4 = 2/3 + b, b = 10/3
Y = 1/3x + 10/3

pls write the steps u did​

Answers

When two parallel lines are intersected by a transversal, the same-side exterior angles are supplementary. That means that their sum is 180.

Using that logic, if the two roads were parallel, then the sum of their same-side exterior angles will add up to 180. Yet their same-side exterior angles add up to 170 (130 + 40 = 170), hence they can't be parallel.

See the drawing attached below.

Using supplmenatry angles (two angles whose sum of measures add up to 180 or a straight line), we can say that:

m<DIE + m<HID = 18

40 + m<HID = 180

m<HID = 140

Similarly:

m<BHC + m<CHI = 180

130 + m<CHI = 180

m<CHI = 50

Using verticle angles therome, (when two lines intersect, the angles opposite to eachother are congruent, or have the same measure), we can say that:

m<DIE = m<GIH = 40

m<GIE = m<HID = 140

m<CHI = m<AHB = 50

m<BHC = m<AHI = 130

An object has a fixed volume and shape before it changes state. After the
change, it still has a fixed volume but can now change in shape. Which
change of state has occurred?
A. Gas to liquid
B. Solid to liquid
C. Liquid to gas
D. Gas to plasma

Answers

Answer:b

Step-by-step explanation:

Did it in ap3x

Answer:

The answer is B. Solid to Liquid.

Step-by-step explanation:

I took AP3X quiz.

You've read 234 pages of your book, which is about 78% of your book. How many pages are in the book?​

Answers

Answer:

78-----234

100%-------(234÷78)*100

=300

Answer is 300

Maria deposited $5,700 in an account that earns 8% simple interest. Maria made no withdrawals or deposits. What will be the total amount of money in her account after 6 years?

Answers

Answer:

FV= $8,436

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $5,700

Simple interest (i)= 8% = 0.08

Number of periods (n)= 6 years

To calculate the future value (FV), we need to use the following formula:

FV= PV*i*n + PV

FV= 5,700*0.08*6 + 5,700

FV= $8,436

4x-2=x+13
Solve for X
Show all steps

Answers

Answer:

x=5

Step-by-step explanation:

isolate the x on one side of the equal sign so move the 2 over by adding 2

4x=x+15 ( add 2 to both sides )

then move the x over

3x=15 ( subtract x from both sides )

then divide by 3

x=5

Answer: Hope it helps, have a nice day :)

x=5

Step-by-step explanation:

So you can only have x on one side, so first you move an x to the other side of the equal sign.

so, 4x-2=x+13, you can move either x, but I'm moving x instead of 4x

    -x      -x

Your new equation is 3x-2=13, because the x's cancel out

Then you add 2 on both sides 3x-2=13

                                                       +2  +2

                                                 ___________

                                                    3x=15

then you divide by 3 on both sides

3x divided by three leaves x by itself, and 15 divided by three is 5.

3x=15

3    3

x=5

Rebecca is distributing fidget spinners as part of her campaign for school president. she has 500 fridge my spinners to distribute in packs of 25 per teacher. write a function modeling this situation. define all unknown variables

Answers

Answer:

Y= 20

Step-by-step explanation:

From the question, Rebecca has 500 fridge my spinners to distribute in packs of 25 per teacher, we can denote the number of this teacher with "Y" then for her to distribute those 500 fridge in packs of 25 per teacher, then we can say (25× Y)= 25Y ,since she has 500 fridge in total to distribute then we can write a write a function modeling this situation as

25Y=500

where Y is the number of teacher

Make Y subject of the formula we have

Y= 500/25

Y=20

Answer:

25x=500 or x=20

Step-by-step explanation:

__

Well Rebecca have 500 fidget spinners so you put that  on one end and let x be the number of teachers if you have 25 fidget spinners per teacher you need to multiply 25 by the number of teachers or x to find out so the equation will look like this: 25x=500

If you want to simplify you divide by 25 into both sides which are 20

For each set of measurements, decide whether or not it is possible to draw a triangle with those measurements. If it is possible, draw the triangle. Side lengths 2 cm, 3 cm, and 4 cm Side lengths 2 cm, 3 cm, and 6 cm Angles 90 degrees, 45 degrees, and 45 degrees Angles 90 degrees , 60 degrees, and 60 degrees

Answers

Answer:

1. Triangle

2. Not a triangle

3. Triangle

4. Not a triangle

Step-by-step explanation:

Required

Check for valid triangles

Given 3 sides of a triangle: A triangle is valid If the sum of any two sides is greater than the third

1. Sides: 2cm, 3cm and 4cm

To check:

2cm + 3cm > 4cm --- True

2cm + 4cm > 3cm ---- True

3cm + 4cm > 2cm ----- True

The above conditions are true, hence the input values form a triangle.

2. Sides: 2cm, 3cm and 6cm

To check:

2cm + 3cm > 6cm --- False

2cm + 6cm > 3cm ---- True

3cm + 6cm > 2cm ----- True

One of the above conditions is false. Hence, the input values do not form a triangle.

Given the angles of a triangle, their sum must be equal to 180°

3. Angles: 90°, 45° and 45°

Sum = 90° + 45° + 45°

Sum = 180°

This is a valid triangle because the sum equals 180°

4. Angles: 90°, 60° and 60°

Sum = 90° + 60° + 60°

Sum = 210°

This is not a valid triangle because the sum does not equal to 180°

The above conditions are true, hence the input values form a triangle.

if there is 23 teachers how many students are there

Answers

Answer:

460

Step-by-step explanation:

each classroom has ab 20 students so 23x20=460

Answer:

460

Step-by-step explanation:

Say each class has about 20 student you would need to multiply 20 by 23 to get you answer.

Which is 460.

--------------------------------

Hopefully that helped.

Evaluate the following expression when X = -4 X to the power of 2 +2x-9

Answers

Answer:

-1

Step-by-step explanation:

X = -4

so x^2+ 2x -9 = (-4)^2 + 2*(-4) - 9

= 16 - 8-9

= 8-9

= -1

I need help please help

Answers

Answer:

the second one

Step-by-step explanation:

Each side of ΔABC is a line segment. Side AB measures 6 cm, side BC measures 8 cm, and side AC measures 10 cm. Suppose the triangle was rotated 90° about the origin in a coordinate plane. Which of these statements would be correct about the resulting triangle?
A.
Side BC would measure 10 cm.

B.
Side AB would measure 8 cm.

C.
Side BC would measure 8 cm.

D.
Side AC would measure 6 cm.

Answers

Answer:

C

Step-by-step explanation:

You are just rotating it so therefore nothing would happen to the triangle

how indentify a slope and y intercept

Answers

Answer:

Slope is rise over run so you pick a point on the line see how far it goes to the right and put that over how far it goes up

y- intercept is the point at which the line crosses the y axis

Step-by-step explanation:

Find coordinates of the image of the point A(3,9) for a dilation with the scale factor of 2/3

Answers

Answer:

The coordinates of the image of point A(3,9) for dilation with the scale factor of 2/3 will be: A'(2, 6)

Step-by-step explanation:

Given the point A with the vertices (3, 9) i.e. A(3,9)

As we know that If the scale factor is between 0 and 1, the image gets shrunk.

In order to dilation with a scale factor of 2/3, just multiply the x and y coordinates of the original point (3, 9) by 2/3.

i.e.

(x, y) → (2/3 x, 2/3 y)

so, the coordinates of the image of point A(3,9) for dilation with the scale factor of 2/3 will be:

A (x, y) → (2/3 x, 2/3 y) = A (2/3 (3), 2/3 (9)) = A'(2, 6)

Therefore, the coordinates of the image of point A(3,9) for dilation with the scale factor of 2/3 will be: A'(2, 6)

Find X if m/angle UVY=84 degrees.

Answers

Answer:

x = 42º

Step-by-step explanation:

We know that m < UVY is equal to 84º (Given)

We know that < UVY = < SVW (Vertical Angles Theorem)

By substituting in the known values for the anges, we know that:

< UVY = < SVW

84º = 2x

Simplify the equation by dividing by 2 on both sides.

x = 42º

Hope this helps! Let me know if you have any questions!

Solution given:

<UVY=2x[vertically oppisite anglle]

x=84/2=42° is your answer

help me please with my math warmup

Answers

Answer:

35 + .80x > 50

Step-by-step explanation:

You have the original price, which is 35 dollars. Then you have per page, it's 80 cents. You don't know how many pages there are, so you put x. Then it has to be LESS than 50, so you put > 50

102 is 0.6% of what number

Answers

102 is 60% 170. Divide 102 by 0.6, which results in 102. Hope this helps! Have an amazing rest of your day and please mark brainliest! xx

In a shed, there are 9 boards. Each board is 6¼ feet long. What is the total length of the boards combined?

Answers

Answer:

56.35

Step-by-step explanation:

do 6.25 × 9 there ya go

Other Questions
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