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?

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]

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Answer:

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

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

Answer:

21 hours and 19 minutes

Step-by-step explanation:

Answer: 2(x^2-7)

Step-by-step explanation:

Answer:

16% of 95 is 15.2

Step-by-step explanation:

0.16×95= 15.2

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

Answer:

5

Step-by-step explanation:

Hope it helps. :D

Answer:

144 I think have a good day

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^_^

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

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

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.

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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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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Answer:

(x+8)(x+6)

Step-by-step explanation:

Answer:

hope you find the answer

Step-by-step explanation:

300+200+200 = 700.

so simple

hope this helps you.

Answer:

84

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

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)

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!

Answer:

8 nine tenths

Step-by-step explanation:

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.

Therefore, the area is 81 cm^2.

Answer:

81

Step-by-step explanation:

square amount of sides = 4

one side is 9cm

all square sides ae congurent (equal).

9 x 9

A = 81

Answer:

= 6x

Step-by-step Evaluation:

Evaluate for x=6

((−2)(−3))(6)

((−2)(−3))(6)

=36

(hope this helps you) :)

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

Answer:

Step-by-step explanation:

i am not really fully sure

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

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