The Duquesne Incline, a cable car railway, rises 400 feet over a horizontal distance of 685 feet on its ascent to an overlook of Pittsburgh, Pennsylvania. What is the slope of the incline?

Answers

Answer 1

Answer: 400/685, which simplifies to 80/137. Decimal is about 0.58.

Step-by-step explanation: To calculate the slope of an incline, all you have to do is put the rise over run. In other words, y/x. In this case, The Duquesne incline rises 400 feet while moving horizontally 685, which gives you both the x and the y.


Related Questions

At a local store, bananas cost 0.54 per pound , apples cost 2.19 per pound , and oranges cost 1.55 per pound . Aaron bought 3 pounds of each how much money did Aaron pay for his fruit

Answers

$0.54 x 2.6 =$1.404  

$1.28 x 3.1=$3.968  

$1.404 rounds to $1.40

$3.968 rounds to $4

$4 = $ 1.40 = $5.40  

:)

Answer:

$12.84

Step-by-step explanation:

to solve this you will just have to multiply the given prices by the three pounds and then add up all the fruits:

0.54 x 3 = 1.62

2.19 x 3= 6.57

1.55 x 3= 4.65

1.62 + 6.57 + 4.65 = 12.84

Chen rode his skateboard 334 miles in 34 of an hour.

What was his average speed in miles per hour?

_[blank]_ miles per hour

Answers

7.4 mph or 7 mph

hope this helps!

Please help quickly!

Answers

Answer:

A

Step-by-step explanation:

You are subtracting 2 from y every step.

Choose the correct written expression for: 25 – (3 x 4).

Answers

Answer:

13

Step-by-step explanation:

Answer:

25 minus the product of 3 and 4.

Step-by-step explanation:

PEMDAS

and... I just took the test and it was correct answer.

A square with sides of length eight units, sits on a graph with its lower left hand corner at the origin (0,0). This square is translated five units up, and seven units left. What are the coordinates of the ​upper right hand corner after translation? Explain.


PLEASE HELP ME ON THIS QUESTION. I don’t understand. Only answer if you know because you will receive consequences with monitor.

Answers

Answer:

The coordinates of the upper right hand corner after translation is (1, 13)

Step-by-step explanation:

Let us revise the rules of translation

If the point (x , y) translated horizontally to the right by h units then its image is (x + h , y) ⇒ T (x , y) → (x + h , y) If the point (x , y) translated horizontally to the left by h units then its image is (x - h , y) ⇒ T (x , y) → (x - h , y) If the point (x , y) translated vertically up by k units then its image is (x , y + k)→ (x + h , y) ⇒ T (x , y) → (x , y + k) If the point (x , y) translated vertically down by k units then its image is (x , y - k) ⇒ T (x , y) → (x , y - k)

At first let us find the upper right hand corner of the square

∵ Its lower left hand corner at the origin (0,0)

∵ The length of each side of the square is 8 units

→ To find lower right hand corner add 8 to the x-coordinate of the

   lower left hand corner

∴ The lower right hand corner = (0 + 8, 0)

∴ The lower right hand corner = (8, 0)

→ To find upper right hand corner add 8 to the y-coordinate of the

   lower right hand corner

∴ The upper right hand corner = (8, 0 + 8)

The upper right hand corner = (8, 8)

Now Let us find the image of this corner after translation

∵ This square is translated five units up

→ Use the 3rd rule above

∴ Add 5 to the y-coordinate of the point (8, 8)

∴ Its image = (8, 8 + 5)

∴ Its image = (8, 13)

∵ The square is translated seven units left

→ Use the 2nd rule above

∴ Subtract 7 from the x-coordinate of the point (8, 13)

∴ Its image = (8 - 7, 13)

∴ Its image = (1, 13)

The coordinates of the upper right hand corner after translation is (1, 13)

find the value of x (PLEASE HELP THIS IS a 40 point question)

Answers

Answer:

x=40°

Step-by-step explanation:

We have an isosceles triangle RST where the sides RS and ST are congruent, i.e. they have the same length.

One property of isosceles triangles is that the congruent sides form congruent angles with the other side. In other words, the measures of angles R and T are equal.

The sum of the measures of angles R, S, and T is 180°:

[tex]m\angle R+m\angle S+m\angle T =180^\circ[/tex]

Since [tex]m\angle R=2x-10[/tex] , [tex]m\angle T=m\angle R[/tex] and [tex]m\angle S=x[/tex]:

2x-10+x+2x-10 =180

Simplifying:

5x=180+20

Solving:

x=200/5

x=40°

In 2019-2020, North Carolina spent $10,632 per student. The per-pupil spending has decreased at 6% per year. If this continues, what will be the per-pupil spending in 4 years?

Answers

Answer:

The per-pupil spending will be approximate $8,300 in 4 years

Step-by-step explanation:

Exponential Model

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the current quantity.

An exponential decaying function is expressed as:

[tex]C(t)=C_o\cdot(1-r)^t[/tex]

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The statistics of the years 2019-2020 at North Carolina indicate initial spending of Co=10,632 per student. The decaying rate is r=6% = 0.06 per year, thus the exponential model is:

[tex]C(t)=10,632\cdot(1-0.06)^t[/tex]

[tex]C(t)=10,632\cdot(0.94)^t[/tex]

where t is expressed in years.

We are required to know the expected spending for t= 4 years. Substitute t=4:

[tex]C(t)=10,632\cdot(0.94)^4\approx 8,300[/tex]

The per-pupil spending will be approximate $8,300 in 4 years

Olivia and her family are planning a vacation that involves water skiing. Water Sports and More charges $20.50 for the ski rental (one-time fee) and $12.25 an hour to rent the boat.

Complete the table to determine the total cost for 1, 2, 3, and 4 hours.

Answers

Answer:

Step-by-step explanation:

Let the number of hours used to rent the boat be represented by h.

Since Water Sports and More charges $20.50 for the ski rental (one-time fee) and $12.25 for every hour used, the expression to calculate the cost for hours used will be:

= $20.50 + $12.25h

where h = number of hours used.

The cost for 1 hour will be:

= $20.50 + $12.25h

= $20.50 + $12.25(1)

= $20.50 + $12.25

= $32.75

The cost for 2 hours will be:

= $20.50 + $12.25(2)

= $20.50 + $24.50

= $45

The cost for 3 hours will be:

= $20.50 + $12.25h

= $20.50 + $12.25(3)

= $20.50 + $36.75

= $57.25

The cost for 4 hours will be:

= $20.50 + $12.25h

= $20.50 + $12.25(4)

= $20.50 + $49

= $69.50

=

To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining.

Which equations could you use to find the price of one tire patch? Select all that apply.

Answers

Answer:The answers are

4x + 1.9 = 22.2

22.2 - 4x = 1.9

Answer:

C. 4x + 1.9 = 22.2 and E. 22.2 – 4x = 1.9

Step-by-step explanation:

Corey is 6 feet tall. There are 2.54 centimeters in 1 inch. What is corey’s height in centimeters

Answers

Answer:

He is 182.88 cm tall

Step-by-step explanation:

6×12= 72

72×2.54= 182.88

2x − 6 = −6x + 2
work below hurry!!

Answers

Answer:

x=1

Step-by-step explanation:

2x-6=-6x+2

8x=8

x=1

The answer is x=1 , I hoped this helped have a nice day❤️

Please answer this question... please
Select the graph that represents the equation y= 2/3x-3

Answers

It’s the second one. Pick the 2nd one
ITS THE LAST ONE!!! NOT THE SECOND ONE

Help me plz plz plz

Answers

Answer:

root 1

Step-by-step explanation:

The value of root 1 to any power is equal to 1.

Answer:

A

Step-by-step explanation:

10/10 = 1

Hope this helps! <3

What is the slope of the given lines?

Answers

Answer:

hey theres no image?? maybe comment on this so i can help you answer it :)

Raul has 50 coupon books to sell.
The total amount of money Raul will make from selling X coupon books is represented by a function.

f(x)=20x

What is the practical domain of the function?​

Answers

Answer: Domain: {x : 0≤ x ≤50   }

Step-by-step explanation:

Given: The total amount of money Raul will make from selling X coupon books is represented by a function.

[tex]f(x)=20x[/tex]

Domain is the set of x values in a function for which it is defined.

Here, X= Number of coupon books .

Raul has 50 coupon books to sell.

So, 0≤ x ≤50  , as it is possible that non of that book will sell.

Hence, Domain: {x : 0≤ x ≤50   }

Courtney walks 3 laps around a 3-mile track. [1 mile is 5280 feet]. How far does she walk?​

Answers

Answer:

9 miles, or 47520 feet :)

Step-by-step explanation:

Answer:

47520

Step-by-step explanation:

3x3=9

5280*9=47520

Adriano runs a website that helps writers write better stories. Every month, Adriano receives a subscription fee of $5 from each of the subscribers to his website. The website had 200 subscribers last month. This month 40 new members joined the website and 10 members cancelled their subscription. How much money did Adriano’s online business earn this month

Answers

Answer: 1150

Step-by-step explanation: 200 + 40 - 10 x 5 = 1150

200 + 40 = 240

240 - 10 = 230

230 x 5 = 1150

Zelie planned for a square pool to have a side length of 28 ft but found that it needs to be 14 ft long to fit in her backyard. She found the change of scale below. StartFraction 28 feet minus 7 over 14 feet minus 7 EndFraction = StartFraction 21 over 7 EndFraction Which is Zelie's error?

Answers

Answer:

Step-by-step explanation:

Find the complete question

Zelie planned for a square pool to have a side length of 28 ft but found that it needs to be 14 ft long to fit in her backyard. She found the change of scale below.

Which is Zelie’s error?

Zelie should have divided both numbers by 14.

Zelie should have written the ratio as 28/7.

Zelie should have written the ratio as 14/8.

Zelie should have subtracted 14 from both numbers.

Original length of pool = 28ft

If he found that it need to be 14ft longer then the actual measure = 14th

given equation is;

(28 - 7)/14 - 7 = 14/7

Scale constant  = original length/actual length

Scale constant = 28/14

Scale constant = 2

Hence the scale constant is 2

According to the option, Zelei should have divided both numbers by 14.

Answer:

Zelei should have divided both numbers by 14

Step-by-step explanation:

What is the price of one cookie?

Answers

Answer:

$3 for one cookie

Step-by-step explanation:

Divide  18  by  6

Tomas and Kyle each bought a shirt at the school store. Tomas gave the cashier a $20 bill and received $6.15 in change. Kyle gave the cashier a $10 bill and received $1.06 in change. Which statement about the cost of the shirts is true? Tomas's shirt costs $5.09 more than Kyle's shirt. Kyle's shirt costs $5.09 more than Tomas's shirt. Tomas's shirt costs $4.91 more than Kyle's shirt. Kyle's shirt costs $4.91 more than Tomas's shirt.

Answers

Answer:

The answer is C

Step-by-step explanation:

I took the test

Answer:

It is C

Step-by-step explanation:

MAKING A PERSONAL OR HYPOTHETICAL SITUATION
1. Create or make your own situation that maybe true to your everyday life or personal experience that describe
union, intersection, and difference of two sets, and complement of a set.

Answers

Answer:

do you have answer

Step-by-step explanation:

For addition, drag tiles onto the board.
To form a group, place one tile on top of another.
-5(-2) =

Answers

Answer:

I think the answer you are looking for is 10.

Step-by-step explanation:

-5 x -2 = 10

1 pound of a certain candy cost $8, how many pounds can be purchased for $12?

Answers

Answer:

1.5 pounds

Step-by-step explanation:

1 pound costs $8, $1 buys 1/8 pound

$12 buys 12/8=3/2=1.5 pounds

Answer:

12-8= 4

Step-by-step explanation:

one pound of it cost 8 dollars and he only has 12 so subtract 8 from 12 he only has enough to buy 1 pack.

Michael rents a car for one day. The charge is $30 plus the $0.12 per mile. He wants to spend exactly $105. How many miles can he drive?

Answers

Answer:

He can drive 625 miles

Step-by-step explanation:

Total spent: $105

$105- $30 charge = $75

$75/$0.12 per mile charge

= 625 Miles

Which of the following is equal to the expression listed below?

24 + 18

A.
6 + (4 × 3)
B.
6(4 + 3)
C.
(6 + 4)(6 + 3)
D.
(6 × 4)(6 × 3)

Answers

The answer is D because 6•4 is 24 and 6•3 is 18


Hope this helps :)

Answer:

B

Step-by-step explanation:

Its not (A) because the outcome is 24 x 18

Its not (C) because that would be (10)(9) which is the same as multiplication

Its not (D) because that would be (24)(18) which again is multiplication

We are looking for addition of 24 and 18 which is B

6 x 4= 24

6 x 3=18

24+18

Hope this helps (:

Find x and y. Give reasons to justify your solution.

Answers

Answer:

122

Step-by-step explanation:

How can you graphically tell if a quadratic equation will have a complex solution?

Answers

Answer:

If it does not cross the x axis.

Step-by-step explanation:

If the quadratic equation does not cross the x axis (or more specifically, if the quadratic is an upward opening parabola and the vertex is above the x axis, or if the quadratic is a downward opening parabola and the vertex is below the x axis), it will have no real solution

The fundamental theorem of algebra says that quadratics must have 2 solutions, so the solutions must be imaginary.

if the equation doesn’t cross the X-axis

help ASAP please will give BRAINLIEST

A car goes from 16 m/s to 2 m/s in 3.5 s. What is the car’s acceleration? SHOW WORK

Answers

Answer:

acceleration = -4m/s^2

Step-by-step explanation:

Aceleration = (Final speed - Initial speed)/time

In this case, acceletarion = (2 - 16)/3.5 = -14/3.5 = -4

acceleration = -4m/s^2

you are a contractor installing a brick sidewalk. The portion of the sidewalk will occupancy and area of 100 feet long by 4 feet wide. Each brick will occupy and area 8 inches long by 4 inches wide what is the minimum number of bricks will you need to occupy this area

Answers

Answer:

1800 bricks

Step-by-step explanation:

Given

[tex]Sidewalk = 100ft\ by\ 4ft[/tex]

[tex]Brick = 8 in\ by\ 4 in[/tex]

Required

Calculate the minimum bricks needed

To start with, we calculate the area of sidewalk

[tex]Sidewalk = 100ft * 4ft[/tex]

[tex]Sidewalk = 400ft^2[/tex]

Next, we calculate the area of sidewalk

[tex]Brick = 8in * 4in[/tex]

[tex]Brick = 32in^2[/tex]

Divide area of sidewalks by area of bricks to give number of bricks

[tex]Number = \frac{Sidewalk}{Brick}[/tex]

[tex]Number = \frac{400ft^2}{32in^2}[/tex]

Convert units ([tex]ft^2[/tex] to [tex]in^2[/tex])

[tex]Number = \frac{400 * 144in^2}{32in^2}[/tex]

[tex]Number = \frac{57600in^2}{32in^2}[/tex]

[tex]Number = 1800[/tex]

3. John has $500 and wants to buy a used car but does not have sufficient money.
He decides to save $80 per week for a number of weeks to make up the deficit.
a. Given that he has $500 at the beginning of the first week, how much will he
have saved at the end of the 2nd, 3rd, 45, and 5 weeks?
b. Make a graph to represent the pattern from part a.
c. Create a function that represents the relationship between weeks (w) and
money (m)
d. Explain each part of your function.

Answers

Answer:820

Step-by-step explanation:

Since he got $500 the first week multiply 80x4 which is 320+500 is 820$

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