37. Construct Arguments 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?

Answers

Answer 1

Using the slope - intercept relation, the required equation which models the scenario and Raul's speed are ;

y = - 7.5x + 15 4 miles per hour

Time difference, Δt = 1.2 hours - 0.5 hours = 0.7 hours

Change in distance, Δd = 11.25 - 6 = 5.25 miles

Assuming a constant speed :

Speed = (Δd ÷ Δt) = (5.25 ÷ 0.7) = 7.5 mi/hr

Using the general form :

y = bx + c

At, x = 1.2 hours ;

Miles left, y = 6 miles

End point decreases by 7.5 mi/hr (-7.5 mi/hr)

Inputting the data into the equation :

6 = - 7.5(1.2) + c

6 = - 9 + c

c = 6 + 9 = 15 miles

The expression in slope intercept form becomes ;

y = -7.5x + 15

If Raul lives 5 miles closer to the beach ;

Time it will take Luis to get to the beach :

Time taken = (15 ÷ 7.5) = 2.5 hours

Distance Raul has to cover = 15 - 5 = 10 miles

To reach the beach after 2.5 hours ;

Speed required = (10 ÷ 2.5) = 4 mi/hr

Therefore, Raul has to ride at 4 miles per hour for the plan to work.

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Related Questions

5 ≤ 12 - m, if m = 8

Answers

Answer:

5 ≤ 12 - m

5 ≤ 12 - 8

5 ≤ 4

Therefore, it is false statement

Step-by-step explanation:

If you than please mark me brainliest thanks

The given statement is false.

The given statement is 5 ≤ 12 - m, if m = 8.

What is a inequality?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Now, replacing m by 8 in the given inequality, we get

5 ≤ 4

Therefore, the given statement is false.

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https://brainly.com/question/20383699.

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f(x) = 3x3 + 4x2 – 8x - 2
g(x) = 3x - 5
Find (f - g)(x).

Answers

[tex]\displaystyle (f-g)=f(x)-g(x) =3x^3+4x^2-8x-2-(3x-5 )= \\\\ \boxed{3x^3+4x^2-11x+3}[/tex]

i need help with this maths homework please

Answers

I found this on another question made before

I've tried everywhere to get this answerrrrr ill give brainliest for the correct answer mate!!

Answers

Answer:

list out some of the difference between Mendeleev periodic table modern periodic table plz give ans

WHICH ONE IS THE CORRECT ANSWER?

Answers

It is the first option . A is correct

Belinda is thinking about buying a house for $286,000. The table below shows the projected value of two different houses for three years:

Number of years 1 2 3
House 1 (value in dollars) 294,580 303,417.40 312,519.92
House 2 (value in dollars) 295,000 304,000 313,000

Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points)

Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points)

Part C: Belinda wants to purchase a house that would have the greatest value in 25 years. Will there be any significant difference in the value of either house after 25 years? Explain your answer, and show the value of each house after 25 years. (4 points)

Answers

Answer: Part C: House 1 at 25 is at

$598820.5 (rounded to the

nearest cent) and House 2 is at

$511000. House 1 has a higher

value. I hope that helps

What is 268 divided by 6 with a remainder

Answers

Answer:

264 with a remainder of 4

Step-by-step explanation:

The solution is: 44 is 268 divided by 6 with a remainder 4.

Here, we have,

given that,

268 divided by 6

Given the following mathematical expression;

268 / 6

We would apply the law of division for fractions.

268 / 6

= 268 ÷ 6

= 44 + 4

the remainder is 4

Hence, The solution is: 44 is 268 divided by 6 with a remainder 4.

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16% of 95 is what number?

Please answer this fast I'll mark you as brainliest. Thank You.

Answers

Answer:

16% of 95 is 15.2

Step-by-step explanation:

0.16×95= 15.2

16.2

Trust me bro I got you

Twice the difference of a number squared and 7

Answers

Answer: 2(x^2-7)

Step-by-step explanation:

PLEASE HELP IT’S DUE TMR

Answers

Answer:

hope you find the answer

A square has a side length 9cm . What is its area?
O 18 cm
O 36 cm
81 cm
acker
0 27 cm

Answers

Answer:

81 cm^2

Step-by-step explanation:

1. The area of a square is s^2, where s = length of side. In this case, s = 9.

[tex]9^2[/tex] [tex]9 * 9[/tex] [tex]81[/tex]

Therefore, the area is 81 cm^2.

Answer:

Step-by-step explanation:

square amount of sides = 4

one side is 9cm

all square sides ae congurent (equal).

9 x 9

A = 81

Just add a random answer

Answers

thx ig lol how are u

Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation to represent this situation. (4 points)
Part B: Scarlett made a profit of $250.00 with her mobile car wash company. She charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car wash. Write an equation to represent this situation. (4 points)

Part C: Explain how the equations from Part A and Part B differ. (2 points)

Answers

Answer:

Part A 70x+50=250

Part B(75x + 35) = 250 - 5x

Step-by-step explanation:

Here to form an equation you must add all the money that she earned and subtract the money that she had to spend We dont know how many car washes she did, so we must represent it with a variable, or x.

Answer:

Step-by-step explanation:

Part A: Rhett washed 3 cars and earned $50 in tips. y=70x+50

Part B: $75 - $5 = $70 (this is the amount charged minus the amount needed to get the job done per car wash)

the +35 is the tips extra/ constant that will be added after the jobs are done.

x is the number of car washes done

y would be the profit received.

so y = 70x + 35 (profit = value of car wash * number of cars washed + tips)

Factor. x^2+14x+48 please

Answers

The answer is (x + 8) x (x + 6)

Answer:

(x+8)(x+6)

Step-by-step explanation:

A number is at most -5 or at least 0, but how do you graph it?

Answers

Answer:

Step-by-step explanation:

i am not really fully sure

what set of numbers does ^22 fall between

Answers

Answer:

4 and 5

Step-by-step explanation:

If you mean what [tex]\sqrt{22}[/tex] falls into, you would get something in between 4 and 5.

We can solve this by first finding a square root that is higher than that, which is [tex]\sqrt{25}[/tex] and [tex]\sqrt{16}[/tex].

If we go by that [tex]\sqrt{22}[/tex] falls in between 4² and 5².

Cheers!

(-2) times (-3x) -4x

x=
Evaluate the expression

Answers

Answer:

= 6x

Step-by-step Evaluation:

Evaluate for x=6

((−2)(−3))(6)

=36

(hope this helps you) :)

[tex]\sf 300+200+200[/tex]

Answers

Step-by-step explanation:

300+200+200 = 700.

so simple

hope this helps you.

help ME PLEASE FAILING GEOMETRY!

Answers

4) a. a//b
5) c. Alternate Exterior

Mikey spent 16 hours and 36 minutes on a puzzle. He's almost done but needed 4 hours and 43 more minutes to complete it. How long did it take Mikey to finish the puzzle?

Answers

Answer:

21 hours and 19 minutes

Step-by-step explanation:

Help With this Math Problem!

Answers

Answer:

Step-by-step explanation:

1110 = 150 + (15 * 64)

150 is 20 cameras, so we get 64 + 20 = 84 cameras

Answer:

93 cameras

Step-by-step explanation:

it's actually 92.6666666667 but i rounded

help fast pleaseee
NO RANDOMS

Answers

a) is -18
b) is -20
c) is 18

Answer:

a) 6 × (-3) = – 18

b) (-5) × 4 = – 20

c) (-9) × (-2) = 18

Step-by-step explanation:

** Note;

[tex]( - ) \times ( - ) = ( + ) \\ ( + ) \times ( - ) = ( - )\\ ( - )\times ( + ) = ( - ) \\( + ) \times ( + ) = ( + )[/tex]

I hope I helped you^_^

Courtney has a total of 88 stamps worth $15.56. Some are $0.25 stamps and some are $0.02 stamps. How many of each foes she have?

Answers

Let x = # of 25-cent stamps

y = # of 2-cent stamps

{ x+ y = 88

{ 0.25x + 0.02y = 15.56

60 25-cent stamps 28 2-cent stamps

You put 56 green marbles and 24 yellow marbles into bags. Each bag has the same number of green marbles and the same number of yellow marbles. What is the greatest possible number of bags you can make using all the marbles? How many green marbles are in each bag? How many yellow marbles?

Answers

Answer:

8 bags

7 green marbles and 3 yellow marbles

Step-by-step explanation:

Find the GCF of 24 and 56

24 = 4 x 6

= 2 x 2 x 2 x 3

56 = 7 x 8

= 7 x 4 x 2

= 7 x 2 x 2 x 2

The common factors are - 2 x 2 x 2, which is 8.

So the greatest number of bags they can make is 8

Divide the amount of marbles by the number of bags

24 yellow marbles and 8 bags, so 24/8 is 3

56 green marbles and 8 bags, so 56/8 is 7

Hope this helps, let me know if you have any questions

Can someone help me with this

Answers

Answer:

4/5, 3/4, 5/7, 2/7, 1/7

Step-by-step explanation:

Answer:

I am here to help you like a hero

Step-by-step explanation:

so the order is 4/5,3/4,5/7,2/7,1/7

A line is represented by the equation y = x + 2. Suppose the slope of the line was doubled and the value of the y-intercept was divided by 2. What is the equation of the new line?

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

slope is the coefficient of the 'x' term, in this case 1

doubling 1 gives you 2

y-intercept is 2, dividing this by 2 gives you 1

Negative four and one-fifth minus negative thirteen and one-tenth

Answers

Answer:

8 nine tenths

Step-by-step explanation:

-4 1/5 -(-13 1/10)
(-21/5) - (-131/10)
(-42/10)-(-131/10)
131-42=89
89/10
8 and nine- tenths or 8 9 divided by 10

anyone know what to do no bot answer please they are annoying very annoying..

Answers

Answer:

Step-by-step explanation:

Hope it helps. :D

Answer:

144 I think have a good day

The picture I took is what I need help with.

Answers

Answer:

4th option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 6, 0 ) and (x₂, y₂ ) = (0, - 9) ← 2 points on the line

m = [tex]\frac{-9-0}{0-(-6)}[/tex] = [tex]\frac{-9}{0+6}[/tex] = [tex]\frac{-9}{6}[/tex] = - [tex]\frac{3}{2}[/tex]

The line crosses the y- axis at (0, - 9 ) ⇒ c = - 9

y = - [tex]\frac{3}{2}[/tex] x - 9 ← in slope- intercept form

Multiply through by 2 to clear the fraction

2y = - 3x - 18 ( add 3x to both sides )

3x + 2y = - 18 ← in standard form

a rectangular lawn has an area of a^3 - 125. use the difference of cubes to find out the dimensions of the rectangle.

Answers

The area of a rectangle is the product of its dimensions

The dimensions of the rectangle are: [tex]\mathbf{Length = a -5}[/tex] and [tex]\mathbf{Width = a^2 + 5a + 25}[/tex]

The area is given as:

[tex]\mathbf{Area = a^3 - 125}[/tex]

Express 125 as 5^3

[tex]\mathbf{Area = a^3 - 5^3}[/tex]

Apply difference of cubes

[tex]\mathbf{Area = (a - 5)(a^2 + 5a + 5^2)}[/tex]

[tex]\mathbf{Area = (a - 5)(a^2 + 5a + 25)}[/tex]

The area of a rectangle is:

[tex]\mathbf{Area = Length \times Width}[/tex]

So, by comparison:

[tex]\mathbf{Length = a -5}[/tex]

[tex]\mathbf{Width = a^2 + 5a + 25}[/tex]