Luis and Raul are riding their bicycles to the beach from their respective homes. Luis proposes that they leave their respective homes at the same time and plan to arrive at the beach at the same time. The diagram shows​ Luis's position at two points during his ride to the beach. Write an equation in​ slope-intercept form to represent​ Luis's ride from his house to the beach. If Raul lives 5 miles closer to the beach than​ Luis, at what speed must Raul ride for the plan to​ work?


If x represents the time in hours since the ride began and y represents the remaining distance from the​ beach, then the equation

_____



represents​ Luis's ride from his house to the beach.

Luis And Raul Are Riding Their Bicycles To The Beach From Their Respective Homes. Luis Proposes That

Answers

Answer 1

Answer:

equation: y=-7.5x+15 and Raul must ride at a speed of 5 mi/hr

Step-by-step explanation:

[tex]\frac{y2-y1}{x2-x1}[/tex] to find out the slope. [tex]\frac{6-11.25}{1.2-0.5}[/tex]=[tex]\frac{-5.25}{0.7} = -7.5[/tex]

Then you fill x and y to find out the y intercept

[tex]11.25=-7.5*0.5+b[/tex]

[tex]11.25=-3.75+b\\11.25+3.75=15\\[/tex]

Y intercept= 15

then you put it in the equation:

y=-7.5x+15

Since Raul lives 5 miles closer and Luis is 5 miles away, he needs to go at 5 miles an hour to get to the spot.

That is 5 miles/hour

Answer 2

The distance and time, as presented in this question are illustrations of linear equations.

The linear equation is: [tex]y = -7.5x + 15[/tex]He must plan to ride at 4.5 miles per hour, if he lives 5 miles closer

From the diagram, we have:

[tex](x_1,y_1) = (0.5,11.25)[/tex]

[tex](x_2,y_2) = (1.2,6)[/tex]

Start by calculating the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{6 - 11.25}{1.2 - 0.5}[/tex]

[tex]m = \frac{-5.25}{0.7}[/tex]

[tex]m = -7.5[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives

[tex]y = -7.5(x - 0.5) + 11.25[/tex]

[tex]y = -7.5x + 3.75 + 11.25[/tex]

[tex]y = -7.5x + 15[/tex]

Calculate distance, when [tex]x = 5[/tex]

We have:

[tex]y = -7.5 \times 5 + 15[/tex]

[tex]y = -22.5[/tex]

The speed (s) is then calculated as:

[tex]s = \frac{22.5}{5}[/tex]

[tex]s = 4.5[/tex]

Hence, he must plan to ride at 4.5 miles per hour

Read more about linear equations at:

https://brainly.com/question/11897796


Related Questions

Solve the system of equations using substitution.
- 4x + 4y= 8
y= -2x – 10
-
O (4, -18)
O (12, -34)
o(-4,-2)
O (-2,-6)

Answers

The answer is (-4,-2) .

You substitute the value of Y
solve the equation then substitute
the value of X, then again Slove

Answer:

(- 4, - 2 )

Step-by-step explanation:

Given the 2 equations

- 4x + 4y = 8 → (1)

y = - 2x - 10 → (2)

Substitute y = - 2x - 10 into (1)

- 4x + 4(- 2x - 10) = 8 ← distribute and simplify left side

- 4x - 8x - 40 = 8

- 12x - 40 = 8 ( add 40 to both sides )

- 12x = 48 ( divide both sides by - 12 )

x = - 4

Substitute x = - 4 into (2) for corresponding value of y

y = - 2(- 4) - 10 = 8 - 10 = - 2

Solution is (- 4, - 2 )

11. What is the difference between a theorem and a postulate?

Answers

Answer:

A postulate is a statement that is assumed to be true based on basic geometric principles. A theorem is a mathematical statement that can and must be proven to be true.

Step-by-step explanation:

www.ck12.org

Answer:

A thorem is true and can be proven true vs a postulate is guessed true without any evidence.

Step-by-step explanation:

A theorem is a group of statements that are used to prove something else, whereas a postulate is a statement that is not proved but is true through reasoning.

PLEASE HELP I AM BEING TIMED!!!

Statment: Find the measure of the angle indicated by 19x+5

Options: 130
50
80
100

Answers

Answer:

100

Step-by-step explanation:

These two angles are corresponding which means they add up to 180.

so... 19x+5+(16x)=180

If you simplify...

35x+5=180

Then solve for x...

35x=175

x=5

Then take that 5 and fill it into 19x+5...

19(5)+5

95+5=100

7a-3(2a-4) what’s the answer?

Answers

Answer:

?

Step-by-step explanation:

Answer:

a+12

Step-by-step explanation:

Distribute the -3 to (2a-4) so you get -6a+12

then it is 7a-6a+12, which is a+12.

If you need an actual number then a+12=0 is a=-12, if you just needed to simplify it, then a+12

Hint: Use the number line to find the missing value.
-2=_______+6




Answers

Answer:

4

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

If I deposit $1500 in my bank account and it increased by 15% at the end
of the year, how much money is now in my bank account

Answers

Answer:

$1725

Step-by-step explanation:

15 percent of 1500 = 225 and then you add 225 to 1500, 225 + 1500 = 1725

Multiply: (3x + 2)(4x + 2)
07x2 + 12 x+4
12 x2 + 14 x+4
33+4x+ 2
12 x2 + 18 x+2

Answers

The answer is 12x^2 + 14x + 4

Hope this helped :)
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(04.05)Erika calculated that she would spend $115 on school supplies this year. She actually spent $82.50 on school supplies. What is Erika’s percent of error?

28.3%
2.8%
39.4%
32.5%

Answers

Answer:

28.3

Step-by-step explanation:

Lois Lane leaves Metropolis driving 50 km/h. Three hours later, Superman leaves Metropolis to catch up to her, flying at 300 km/h.

When does Superman catch up with Lois?

Superman will catch up ____ hours after Lois left Metropolis.

Answers

Answer:

0.6 hours

Step-by-step explanation:

50t=300(t-3)

50t= 300t - 900

-250t=-900

t=3.6

dont forget to subtract supermans time as well

3.6-3= 0.6

Answer:

0.6 hours

Step-by-step explanation:

Given f(x) = 3x - 4, find f(5). Write your answer as a number.​

Answers

F(5) means replace x with 5 then solve:

3x-4 = 3(5)-4 = 15-4 = 11

F(5) = 11

Is anyone a disgrace to their parents

what is 2+2x 100000000000 +5 /10

Answers

Answer:

2x^100000000000+ 5/2

Step-by-step explanation:

Answer:

400000000000

Step-by-step explanation:

Multi Step Problem (Show work!!)

Y + 7 = -2​

Answers

Answer:

y = -9

Step-by-step explanation:

Step 1: Write equation

y + 7 = -2

Step 2: Solve for y

Subtract 7 on both sides: y = -9

Step 3: Check

Plug in y to verify it's a solution.

Substitute: -9 + 7 = -2Add: -2 = -2

Help!!!!!!!!!!!!!!!!

Answers

Answer:

1-11

2-17

3-23

4-29

5-35

6-41

7-47

8-53

Step-by-step explanation:

They were only in stage one of the 1st day and stage 2 for day 2 and 3 and stage 3 for days 4 - 7 and after day 8 there was no cure

1 week away from the election. Who do you think wins? Why do you think so? Who do you want to win? Who is better for the country? Why??? (Trump 2020)

Answers

Answer:

I think that Trump will win because 4 years ago no one thought he was going to but he did anyway

I want none of them to win because I dislike both of them.

I think Joe Biden is going to win bcz most people prefer him over trump and he’s winning rn

Based on the number line below, which statement is true?

Answers

you didnt put a number line tho :/

Answer:

25

Step-by-step explanation:

that one spongebob meme

haha

:(

theres no number line

Write equation of the circle with center c(-1, 5) and radius 3

Answers

Answer:

(x+1)^2 + (y-5)^2 = 9

Step-by-step explanation:

center = (h, k)

(x-h)^2 + (y-k)^2 = r^2

(x-(-1))^2 + (y-5)^2 = (3)^2

(x+1)^2 + (y-5)^2 = 9

At the park, a statue stands on a marble base. The statue and marble base have a total height of 59.4 inches. The height of the marble base is 16.09 centimeters. Given that 1 inch is equal to 2.54 centimeters, what is the height of the statue?


Answers

Answer:

134.786 centimeters

Step-by-step explanation:

First you need to convert inches to cm by doing 59.4x2.54=150.876 then you subtract 16.09 from that. Your answer would be 134.786 centimeters

Is 59 - - 2 positive or negative?

Answers

Answer:

Its positive becuse both signs get multiplied.

Step-by-step explanation:

PLease mark me brainliest

59+2
Pls mark me brain

What does the y-intercept represent in this scenario?

Answers

Answer:

The y-intercept represents the temperature at the start, before any time has passed.

In the scenario, y intercept represents the temperature which starts from 8 °F.

What is graph?

A graph is a diagram that depicts the relationship between two variables, usually measured along opposite axes in a pair, is used.

In the given graph,

x-axis shows time in hours,

And y-axis shows temperature in Fahrenheit.

Since, the y-intercepts shows the value where x=0, or the values of y-axis.

In the given graph,

The y-axis shows the temperature.

Therefore, y intercept represents the temperature which starts from 8 °F.

To know more about Graph on:

https://brainly.com/question/17267403

#SPJ2

Solve for x. Show your work: x + 3 = 12

Answers

Answer:

x=9

Step-by-step explanation:

The objective is to get x by itself, so to do that we need to subtract three from both sides:

x + 3 = 12

      -3    -3

12-3= 9.

So, x=9.

Hope this helped!

Answer: x=9

x+3=12

1x+3=12

      -3

   =9

1x =9    --->  1x/1   9/1

/1   /1    --->  1x/1   9/1

x=9

Step-by-step explanation:

sorry if this doesn't make sense

A bakery has 72 half gallons of milk. It takes 1 2/3 cups of milk to make a cake. Note that 1 cup = 1/8 half gallon = 0.125 half gallon. How many cakes can the bakery make?

A. 43 cakes
B. 288 cakes
C. 345 cakes
D. 576 cakes

Answers

Answer:

c

Step-by-step explanation:

72 half gallons /( 1 2/3 cup/cake *.125 half gal/cup )   = 345.6   = 345 cakes

.

.

.

mark as brainnliest pls

Which is an equation of a line with a slope of 1/2 that contains the point (-4,7)?

Answers

Answer

We know that this is a straight line, so it will follow the slope intercept equation:
y = mx + b.
To solve this problem, we need to plug in the x and y values for one point to get b, and then we will know the equation for the line, which is valid for all points.
x = −4

y = −3

m = 1/2
Let's start by solving for b:
b = y − mx
Now we can plug in numbers:
b = −3 − (1/2 × −4)

b = −3 − (−2)

b = −3 + 2

b = −1
Now that we know m and b, we can plug into our original equation:

The equation is y = 1/2x − 1.

Which statement BEST describes the equation below?
f(x) = 2x + 3

A) It is a relation
B) It is a function
C) It is a one-to-one function

Answers

Answer: function

Step-by-step explanation: I'm not totally sure so I hope this helps

Answer is function !!!!!!!

What is the value of (-5) the power of 4

Answers

Answer:

625

Step-by-step explanation:

(-5)^4 = 625

Find the interest for the given dates to the nearest cent. 6,150 dollars at 9% for 12/5 to 12/30 Please help! :)

Answers

Answer:

the interest is about 29.78.

Step-by-step explanation:

assuming It is at 9% per year,

6150*0.09*25/31/12=

553.5*0.08065/15=

553.5*0.0538=

29.7783 which is about 29.78

Is 0.819 meters greater than 0.85 meters and why

Answers

Answer:

mo

Step-by-step explanation:

.819 to .850

.85 is bigger

Answer:

no

Step-by-step explanation:

No because .85 meters is .031 meters greater then .819

3/4x + 2 = 4 2/3
please help me with this!!

Answers

Answer: X= 32/9

Explanation: Convert 4 2/3 to 14/3 by multiplying the denominator (3) and the number (4) and adding the numerator (2). This gives you 14/3

Multiply everything by 12 (the GCF)

9x+24=56

Move constant to the right

9x=56-24

9x=32

Divide 9x on both sides

Answer is x=32/9

solve -x/3 > 5

a) x -15

c) x 15

Answers

Answer:

x must be a negative to cancel out the negative sign and must be greater than 15 unless it is supposed to equal 5 then a is correct

Step-by-step explanation:

Because 15/3 is equal to 5

42.564in expanded form

Answers

40 + 2 + 0.5 + 0.06 + 0.004

Paul gets money for each chore he completes around the house. He receives $5.00 for taking out the garbage all week, $10.00 for cleaning the bathroom, $3.00 for each time he empties the dishwasher, and $4.00 an hour for babysitting his younger sister. This week, he took out the garbage, emptied the dishwasher three times, and babysat his sister for five hours. How much money should he receive?

Answers

Answer

$30

Step-by-step explanation:

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