(-11,9), (5,0)
Find the slope of the line through each pair of points

Note: Consider we need to find the constant of proportionality.

Given:

The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.

It costs $27 to rent the kayak for 5 hours.

To find:

The constant of proportionality.

Solution:

The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

where, k is constant of proportionality.

It costs $27 to rent the kayak for 5 hours. So, put x=5 and y=27 in the above equation.

[tex]27=k(5)[/tex]

Divide both sides by 5.

[tex]\dfrac{27}{5}=k[/tex]

Therefore, the constant of proportionality is [tex]\dfrac{27}{5}[/tex].

The answer is the third one. Trust me. I don't feel like explaining.

Step-by-step explanation:

Answer:

Less

Step-by-step explanation:

Think of it like this:

Four times of 0.36

0.36 + 0.36 + 0.36 + 0.36 = 1.44

So 4 × 0.36 is less than 4

Hope I helped your little sista :)

Answer: x= all real numbers.

Step-by-step explanation: Simplify the equation first. 8+4x=2x+8+2x. Add the variables on the right side. 4x+8=4x+8. Because the two sides are exactly equal, x can be all real numbers.

Answer:

8=8

Step-by-step explanation:

8+4x=2x+8+2x

combine like terms

8+4x=4x+8

subtract 4 from both sides

8=8

I HOPE THIS HELPED!!!!

Answer:

10

Step-by-step explanation:

(5x + 15)° + (6x + 8)° + (4x + 7)° = 180°

15x + 30 = 180 ⇒ x = 10

Answer:

Step-by-step explanation:

Ok so the first one is X<31/3

And the second one is X>-5

Answer:

The last one

Step-by-step explanation:

68/5 - 22/5 = 46/5 = 9 1/5

Answer:

Option d

Explanation:

[tex]\frac{68}{5} - \frac{22}{5} = \frac{46}{5}[/tex]

46/5 in mixed fraction is [tex]9\frac{1}{5}[/tex]

Answer:

number of protons

Step-by-step explanation:

The identity of an element is determined by the number of protons. One cannot alter the number of protons without altering the identity of the element. By adding a proton, the atomic number increases by one and the element identity changes. Number of neutrons can be altered to create isotopes.

Answer:

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

c) 12.3x – 18 = 3(–6 + 4.1x)

Step-by-step explanation:

A linear equation can be said to have an infinite number of solutions when the number of the right hand side is the same at the number on the left hand side of the equation.

For example:

2 = 2 or x = x or 0 = 0

Solving the question above:

Which linear equations have an infinite number of solutions? Check all that apply.

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

x - 3/7 = 6x/6 - 18/42

x - 3/7 = x - 3/7

Collect like terms

x - x = -3/7 + 3/7

0 = 0

The linear equation in option a has an infinite number of solutions

b) 8(x + 2) = 5x – 14

8x + 16 = 5x - 14

Collect like terms

8x - 5x = -14 - 16

3x = -30

x = -30/3

x = -10.

The linear equation in Option b has a true solution.

c) 12.3x – 18 = 3(–6 + 4.1x)

12.3x - 18 = -18 + 12.3x

Collect like terms

12.3x - 12.3x = -18 + 18

0 = 0

The linear equation in Option c has infinite number of solutions

d) 1\2(6x + 10) = 7(3\7x – 2)

6x/2 + 5 = 21/7x - 14

3x + 5 = 3x - 14

Collect like terms

3x - 3x = -14 - 5

0 = -19

The linear equation Option d has no solution

e) 4.2x – 3.5 = 2.1 (5x + 8)

4.2x - 3.5 = 10.5x + 16.8

Collect like terms

4.2x - 10.5x = 16.8 + 3.5

-6.3x = 20.3

x = -20.3/6.3

x = -3.22

Hence, the linear equation in Option e has a true solution

Therefore, the linear equations have an infinite number of solutions are:

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

c) 12.3x – 18 = 3(–6 + 4.1x)

Answer(x – 3\7) = 2\3 (3\2x – 9\14 ) and (12.3x – 18 = 3(–6 + 4.1x)

Step-by-step explanation:

Answer: 5/2

Step-by-step explanation:

Answer:

15 quarts

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

I can't prove this, but I can tell you the answer.

30.

a = 100 s  digit

b = 10 s digit

5 is always the units digit.

I'm pretty sure that 30 is the correct answer.

What an interesting question. If I find out how it is done, I'll post it in the comments.

I can say this much.

a + b + 5 must be divisible by 3.

a = 1     b = 9     + 5

a = 1     b = 6     + 5

a = 1     b = 3     + 5

a = 1     b = 0 +  5

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

Three more are obtained by interchanging the 100s and 10s digit except for b = 0

a = 9     b=1    + 5

a = 6     b =1   + 5

a = 3     b= 1   + 5

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

a = 2    b = 2 + 5

a = 2    b = 5  + 5

a = 2    b = 8  + 5

only 2 more are obtained by interchanging the 10s and 100s digit

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

a = 3   b = 4    +5

a = 3   b = 7    +5

You can't go any further. You get 2 more by interchanging the b and a digits.

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

I hope you see what I've done here. I don't think this is an exact proof, but it is an exhaustive search.

Answer:

El costo de las dimensiones dadas es $ 1092000

Step-by-step explanation:

Dada

Longitud = 13m

Profundidad = 40m

Costo de 1m² = $ 2100

Required

Determine el costo del terreno Primero, necesitamos determinar el área del terreno.

Primero, necesitamos determinar el área del terreno.

Área = Longitud * Profundidad

Valores sustitutos de Longitud y Profundidad

Área = 13m * 40m

Área = 520m²

A continuación, calculamos el costo del área calculada

Si 1m² cuesta $ 2100

Entonces

520m² cuesta $ 2100 * 520

Costo = $ 1092000

Por lo tanto, el costo de las dimensiones dadas es $1092000

Answer: x=2x +14

Step-by-step explanation:

1) subtract 8x from both sides: -4x= -8x -56

2) divide both sides by -4: x=2x +14

Answer:

x - 2 ≥ 0

Step-by-step explanation:

The expression under the square root cannot be negative, thus

x - 2 ≥ 0 , that is

x ≥ 2

Answer: n = 3 or 5

n^2+15=8n

Or,

n2 - 8n + 15 = 0

(n - 3)(n - 5) = 0

So n is 3 or 5.

Answer: 4 large bottles of water for $3.

Step-by-step explanation: To find how many large water bottles you can buy with $3, you’ll have to divide 12 by 3 which equals to 4. You can check your answer by multiplying 4 x 3 which equals to 12, which is the original amount of large water bottles you can buy for $9.

Answer:

0.0.0.0

Step-by-step explanation:

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Answer:

Bag 2

Step-by-step explanation:

Given

Bag 1:

[tex]14\ ounce = 3.50[/tex]

Bag 2:

[tex]24\ ounce = 5.28[/tex]

Required

Which is a better buy

To get which buy is better, we first get the unit price of each bag.

[tex]Unit\ Price = Amount/Size[/tex]

For bag 1:

[tex]Unit\ Price = 3.50/14[/tex]

[tex]Unit\ Price = 0.25[/tex]

For bag 2:

[tex]Unit\ Price = 5.28/24[/tex]

[tex]Unit\ Price = 0.22[/tex]

The best buy is the one with smaller unit price

Hence, bag 2 is better to buy

Answer:

485

Step-by-step explanation:

500/100=5

5*3=15

500-15=485

Hope this helps;)

Answer:

485

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

because 25% times 4 makes 100 so it is 4

all of the  lines in which light and heat may stream through from the sun or any luminous body, or pass through small openings.

Step-by-step explanation:

Answer:

Ray: Any of a set of straight lines passing through one point. Each of the lines in which light (and heat) may seem to stream from the sun or any luminous body, or pass through a small opening.

(I'm so sorry if this is wrong)

Hope this Helps!

Answer:

1/2

Step-by-step explanation:

reduce 12 with 6 and 9 with 9 and your equation is now 1/2 x 1/1

you now multiply ur franction, which gives you   1/2

hope this helped :)

Answer:

104$

Step-by-step explanation:

520/10*2

Answer:

$104

Step-by-step explanation:

cool person said it so

Answer:

last one

Step-by-step explanation:

i would say the last one, but im not sure, this one is really hard

Answer:

$6.90

Step-by-step explanation:

1.20 x (5 3/4) = 6.9

Answer:

y = 2x + 16

Step-by-step explanation:

slope is parallel and equal to y = 2x + 6

y intercept = 16

Answer:

b - y=2x+16

Step-by-step explanation:

y=y1+m(x+x1)

(-4,8)

y=8+2(x-4)

y=8+2x-8

add 8 on both sides

y=2x+16

Answer:

38.6666666667

Step-by-step explanation:

speed = distance/time.

Time: 3.0

Distance: 116 miles.

116/3.0 = 38.6666666667.