Pedro is traveling on a toll road. He plans to exit the road 5 miles ahead at First Avenue and pay $1.75. He changes his plans and travels 9 miles to Butler Street and pays $2.75.​

Answers

Answer 1
This problem forces us to assume that Pedro has just entered the toll road. He has gone no miles on the toll road yet.

x, miles traveled on the toll road
y, the toll to be paid for x miles

According to his plan, (5, 1.75), an (x,y) point.
According to what happened, (9, 2.75), another point.

Slope m:
%282.75-1.75%29%2F4

m=1%2F4

Picking the "plan" point and found slope
and putting into point-slope equation form:
y-1%263%2F4=%281%2F4%29%28x-5%29

Simplify and put into slope-intercept form:
highlight%28y=x%2F4%2B1%2F2%29

highlight%28y=x%2F4%2Bhighlight_green%281%2F2%29%29
The y-intercept is 1%2F2.

Related Questions

What is the initial value for the function in the example
problem? What is the rate of change?

Answers

Answer:

initial value = 2 (the y-intercept), rate of change (also referred to as slope) = 1

Step-by-step explanation:

Subtract: 3x^2 -7x + 4 from 5x^2 - 3x + 8.

Answers

Answer:

-2x^2 -4x-4

Step-by-step explanation:

I NEED HELP ASAP PLEASE!!! I need to turn this graph into an equation. I AM BEGGING​

Answers

Answer:

y= -cos(x)+2

Step-by-step explanation:

Lmk if you need an explanation and I'll add it.

Kathy earned $75 an hour. Andy earned 20% more money than Kathy. How much money did Andy earn in a hour?

Answers

Answer:

Andy earned $90.00

Step-by-step explanation:

Answer:

Andy earned $90 an hour.

Step-by-step explanation:

Reflect the figure across the line y=-X

Answers

Answer:

point v at (3,-6)

point x at (1,-4)

other point that I can't see the letter lol is at (5,-3)

Draw the image of AABC under a translation by 3 units to the left and 3 units down.

Answers

Answer:

you will have to move the full shape 3 squares to the left (<--) and 3 squares down

Step-by-step explanation:

hope this helps

Please help me . It's urgent

Answers

Answer:

36

Step-by-step explanation:

i think lmk if i am right

PLEASE HURRY!!!
An inequality represents an infinite amount of numbers smaller than 8. Which inequality represents the situation?
x greater-than 8
x less-than 8
x greater-than 7
x less-than 7

Answers

less than 8 less is the answer

Answer:

x < 8

Step-by-step explanation:

If 3 cars have traveled a total of 180,000 miles and the distance traveled by each car differs by at least 1 mile from the distance traveled by either of the other 2 cars,what is the minimum possible number of miles traveled by the car with the most mileage

Answers

Answer:

60001 miles

Step-by-step explanation:

Given

[tex]Total\ Distance = 180000[/tex]

Let the cars be: [tex]Car\ A, Car\ B\ and\ Car\ C[/tex]

Assume that Car A has the minimum mileage of x.

[tex]Car\ A = x[/tex]

The other cars would be:

[tex]Car\ B = x + 1[/tex]

[tex]Car\ C = x + 2[/tex]

This implies that Car C has the highest mileage

Required

Determine the possible minimum number of miles

Since the total distance is 180000, then:

[tex]Car\ A + Car\ B + Car\ C = 180000[/tex]

Substitute values for Car A, B and C

[tex]x + x + 1 + x + 2 = 180000[/tex]

Collect Like Terms

[tex]x + x + x = 180000-1-2[/tex]

[tex]3x = 179997[/tex]

Divide both sides by 3

[tex]\frac{3x}{3} = \frac{179997}{3}[/tex]

[tex]x = \frac{179997}{3}[/tex]

[tex]x = 59999[/tex]

The car with the most mileage is Car C

So:

[tex]Car\ C = x + 2[/tex]

Substitute 59999 for x in [tex]Car\ C = x + 2[/tex]

[tex]Car\ C = 59999 + 2[/tex]

[tex]Car\ C = 60001[/tex]

The minimum distance travelled by Car C is 60001 miles

please help!
in RST find the m

Answers

Answer:

0.26

Step-by-step explanation:

This is a Isosceles triangle so every side is 60

equation= 60x+60+60x=92

60x+60x=120x

120x+60=92

60-60=0

92-60=32

120x=32

32/120=0.26

HELP WILL GIVE BRAINLIST PLEASE!

slope (m) = ? y-intercept (b) = ?

Answers

Answer: slope=5 y-intercept=-1

Step-by-step explanation:

Slope=rise/run

In this case we rise 5 and run 1

5/1=5

On the graph you can see the line passes through the y axis at -1

Can someone help me please thank you

Answers

Answer:

3j + 3m + 21

Step-by-step explanation:

Normally, they would each travel 3 miles, so the total would normally be 3j + 3m. However, for today, Jared ran another 21 miles, so 21 miles is added to the total.

Total distance = 3j + 3m + 21

Answer:

(3j) + (3m + 21)

Step-by-step explanation:

Since every time Jared goes running he runs 3 miles we should multiply j by 3. So we will have: 3j

Since every time Malia goes running she runs 3 miles we should multiply m by 3. So we will have 3m

But this month Jared ran an extra 21 miles so we will have to add that after we have multiplied both j and m by 3.

Since we want the total distance they ran that month, we need to add all of these distances.

This will give us 3j + 3m + 21.

In the answer options 3j is inside a parenthesis as well as 3m + 21. Since inside the parenthesis we only have addition and the order which we add doesn't really make a difference, the parenthesis were unnecessary but they won't affect the answer.

10. Which graph appears to show a proportional relationship between x
and y?


Answers

Answer:

A is proportional remember proportional is a graph that goes through the origin aka 0

Step-by-step explanation:

A class includes 20 students. Eight of them got A+ on the last test. What percent of the class got A+?

Answers

Answer:

40%

Step-by-step explanation:

8/20

2/5

2/5 = 40%

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Evaluate the expression. 18 + 12 = 6.2

Answers

Answer:

Step-by-step explanation:

i do not think this make sense maybe you could try doing another question.

what is a multiplication equation that has a solution of 12

Answers

Answer:

4 x 3 = 12

Step-by-step explanation:

12 x 1 = 12

6 x 2 = 12

Solve the equation (3^x/2)(3^x/4)=3^6

Answers

Answer:

[tex]\qquad\quad {:}\leadsto\sf {3}^{\dfrac {x}{2}}\times {3}{}^{\dfrac {x}{4}}=3^6 [/tex]

[tex]\qquad\quad {:}\leadsto\sf 3{}^{\dfrac {x}{2}+\dfrac {x}{4}}=3^6 [/tex]

[tex]\qquad\quad {:}\leadsto\sf 3 {}^{\dfrac {2x+x}{4}}=3^6 [/tex]

[tex]\qquad\quad {:}\leadsto\sf 3 {}^{\dfrac {3x}{4}}=3^6 [/tex]

[tex]\qquad\quad {:}\leadsto\sf \dfrac {3x}{4}=6 [/tex]

Use cross multiplication method

[tex]\qquad\quad {:}\leadsto\sf 3x=24 [/tex]

[tex]\qquad\quad {:}\leadsto\sf x=\dfrac {24}{3}[/tex]

[tex]\qquad\quad {:}\leadsto\sf x=8[/tex]

Answer:

x=8

Step-by-step explanation:

It just is, no explanation.

What is the value of f(x)=1/2x+5 when x=4

Please help I beg

Answers

7 should be your answer!!:)

Morgan took out a $500 cash advance on her credit card. If the interest rate is 9%, and it takes her 1 year to pay back the loan, what is the total amount of money Morgan will have to pay back to her credit card?

Pls show work

Answers

Answer: $777.60

Step-by-step explanation:

8/100 = 0.08

0.08 * 720 = 57.6

57.6 + 720 = 777.6

Answer:

545

Step-by-step explanation:

9/100=0.09

0.09*500=45

45+500=545

So it is 545 hope this helped :]

why is school so stupid???

Answers

Answer:

..

Step-by-step explanation:

Because teachers dont understand the pain we go through so they continue to push us to the point where we give up..

The graph below represents the distribution of scores on a placement test for students at Central High School. Select the statement that is true about the distribution of scores.

Placement Test Results


a.

The mode is the greater than the median.

c.

The mode is less than the median.

b.

There are two medians

d.

The median and mode are the same.




Please select the best answer from the choices provided

Answers

Answer: Choice A) The mode is greater than the median

Mode = 95, median = 90

========================================================

Explanation:

The mode is the most frequent value. In this case, the mode is 95. All we do is look for the highest bar, and then record the x value connected with it. The higher the bar, the more frequent the value.

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

The median will take a bit more work, but it's not too bad.

First add up the heights of every bar shown:

2+3+4+6+7+10+5 = 37

So there are 37 scores. The median will be in the very exact middle. Divide 37 over 2 to get 37/2 = 18.5

Erase off the 0.5 and we can say that 18 values are below the median, and 18 values are above the median. So we have 18+1+18 = 37 values total.

The median will be in slot 18+1 = 19.

From here, we add up the bar heights (starting on the left and working toward the right). We're trying to see when we reach 19 or higher, since the median is in that 19th slot.

Add the first two bar heights: 2+3 = 5. That value is not 19 or larger. Add the first three bar heights: 2+3+4 = 9. Still not 19 or largerFirst four bar heights: 2+3+4+6 = 15. We're getting closer, but still no.First five bars: 2+3+4+6+7 = 22. We've crossed over 19. The median must be 90 because that x value is tied to the fifth bar.

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

To summarize:

mode = 95median = 90

The mode is larger than the median.

This is why choice A is the answer.

Answer:

A- The mode is the greater than the median

Step-by-step explanation:

How many times does 0.6 go into 12.66?
first brainlyist

Answers

Answer:

.6 goes into 12.66 21.1 times

-4(-5x-6)=-176

Solve for x

Answers

Answer:

x = -10

Step-by-step explanation:

1) divide both sides by -4

That gets you -5x-6 = 44

2) add 6 over

that gets you -5x=50

3) divde 50 by -5 and you get -10

Find the value of angle “A” and angle “B”. WILL MARK BRAINLIEST

Answers

Answer:

157 for A and B

Step-by-step explanation:

180-23=157

Answer:

A) 157

B) 157

Step-by-step explanation:

A is 157 because A+23˚ makes a straight line or a 180˚ angle. If you subtract the 23˚ from 180˚ you should be able to find A.

B is the same because the angles A and B are vertical from each other, which means that they will have the same measurement. or you can use the same process as A.

What is the slope of the line that passes through the points (5, 2) and (3,-1)?

Answers

slope = -4/5

to calculate the slope m use the gradient form

m = y2 -y1
————
x2 - x1


let (x1, y1) = (3,1) and (x2, y2) = (-2, 5)


m = 5 - 1 4
———- = ——-
-2 - 3 -5


= - 4/5

Holly needs to buy some cloth. The following deals are available at various stores. Choose the best deal.

$16.52 per 6 yd
$13.85 per 5 yd

a
$16.52 for 6 yd
b
$13.85 for 5 yd
c
Neither

Answers

Answer:

Its A

Step-by-step explanation:

Geometry help pleasseeee??

Answers

The answer is gonna be 49=39=183

Can you Please help me

Answers

Answer:

The slope is 4 because [tex]\frac{20-12}{5-3}[/tex] = [tex]\frac{8}{2}[/tex] = 4.

Andrew rode his bike at a constant speed.He rode 1mile in 5 minutes.
Which of these equations represents the amount of time1(in minute) that it takes him to ride a distance of d miles?
A. t=5d B. t=1/5 C. t=d+4 D. t=d-4

Answers

Answer:

3

Step-by-step explanation

The answer is three because if you did the tree method you will have the same exact answer

B. t=1/5 because you divide 1 mile by 5 minutes and you get 0.2

please help me !
f (x) = -7/3x -1
x. q(x)
0. -2
1. -4
2. -6
3. -8

Answers

Answer:

-2 I think, I may be wrong

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