Find the constant of proportionality and write an equation for the following proportional relationship.



You drove 330 miles in 6 hours.



Use d to represent the distance you drove and t to represent the time

Answers

Answer 1

Answer:

NoShutterStock gives the correct value:  55 miles/hr (mph)

I'll only add that distance, d, is the product of time, t, and speed, s.

 (Distance, d) = (Time, t x) (Speed, s)

   d = ts

   330 miles = (6 hours)*(s)

s = 330 miles/6 hours, or 55 mph

Step-by-step explanation:

Answer 2

The constant of proportionality and the equation for the proportional relationship are 55 miles per hour and y = 55x respectively.

What is proportionality?

Two quantities are said to be in direct proportion (or directly proportional), if one is a constant multiple of the other, i.e. y is said to be directly proportional to x if y = kx where k is a constant.

Given that, find the constant of proportionality and write an equation for the following proportional relationship.

"You drove 330 miles in 6 hours."

Here, the constant of proportionality =

330/6 = 55 miles per hour

The equation for the proportional relationship =

y = 55x

Where, y is total distance and x is hour of travelling.

Hence, the constant of proportionality and the equation for the proportional relationship are 55 miles per hour and y = 55x respectively.

Learn more about proportionality, click;

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Related Questions

Find the perimeter. Simplify your answer.
S+1
s
S+1

Answers

Is it not just s+1 + s+1 + s which is 3s +2

Which of these are a multiple of 12? 2,8,16,24

Answers

Answer:

Step-by-step explanation:

24 is the multiple of 12

24 is a multiple of 12, so 24 is the correct answer of this question

If a jacket cost $74.95 and you had a coupon for 30% off, how much would the jacket cost you? (round to the nearest hundredth)

Answer value

Answers

Answer:

30% of 74.95 = .3 * 74.95 = 22.48

Net Cost = 74.95 - 22 48 = 52.47


h
V = πη2
3
Which of the following represents the formula that could be used to find the height of the cone?

Answers

Answer:

3

Step-by-step explanation:

Identify if the table below shows a proportional relationship.
x
y
1
5
02
2
.
7
5
13
Proportional
Not Proportional

Answers

Answer:

i know answer i heard some were i think

help me urgent thankyouu

Answers

Answer:

The answer is B.

Step-by-step explanation:

0.0605

Find x and y. ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

Answers

Answer:

x = 36°y = 48°

Step-by-step explanation:

Given:

ΔABC ≅ ΔFDEWe can tell that y = 48° because ΔABC ≅ ΔFDE. We can also tell that ∠DEF = 108 because ΔABC ≅ ΔFDE.

Let's first try to simplify ∠CAB in ΔABC. Then we can find the 'x' in ΔFDE with the help of ΔABC.

ΔABC = 108 + 48 + ∠CAB = 180°

=> 156 + ∠CAB = 180°

=> ∠CAB = 24°

=> 48 + 108 + 2x - 48 = 180°

=> 108 + 2x = 180°

=> 2x = 72°

=> x = 36°

So, after working on this problem, we can conclude that 'x = 36°' and 'y = 48°'. Hoped this helped.

Answer: x=36, y=48

Step-by-step explanation:

The sum of the angles in a triangle is 180.  From triangle ABC we see that:

108 + 48 + Z = 180, where Z is the unknown third angle.

156  + Z = 180

Z= 24 (angle CAB).

Since the triangles are similar, we can say angle EDF(y) is equal to angle CAB (48).  Thus,

y = 48

we can also say that angle CAB is the same as angle DFE:

24 = (2x-y)  

24=2x-48

72=2x

x=36

Ayushi wanted to paint a wall of a room of dimensions 6 m × 5 m. It has a window of dimensions 2 m × 0.5 m and a door of dimensions 3 m × 1.5 m. What area of the wall is required to be painted by Ayushi?

Can you guys plz answer this??? ​​

Answers

Answer:

Required wall to be painted: 24.5 m²

Step-by-step explanation:

Wall dimensions: 6 m x 5 m

=> Wall dimensions: 30 m²

Area of window: 0.5 x 2

=> Area of window: 1 m²

Area of door: 3 m × 1.5 m

=> 4.5 m²

Required wall to be painted: 30 - 1 - 4.5

=> Required wall to be painted: 24.5 m²

Therefore, the required paint for the wall to be fully painted is 24.5 m². Hoped this helped.

Triangle JKL with vertices /(1, -1), K(2, 3), and
L(3,-2) in the line x = 4.
.ب)J
K'.
L'(_
(

Answers

The reflection of the triangle JKL across the line x = 4 is equivalent to

equivalent to flipping the preimage across the line x = 4.

The correct coordinates are;

[tex]\underline{J'(7, \, -1)}[/tex]

[tex]\underline{K'(6, \, 3)}[/tex]

[tex]\underline{L'(5, -2)}[/tex]

Reasons:

The given transformation is a reflection about the line x = 4

The points of triangle JKL are J(1, -1), K(2, 3), and L(3, -2), in the line x = 4

The coordinates of the triangle JKL following a reflection across the line x = 4, have the same y-coordinates , while the x-coordinates have the same distance magnitude to the line x = 4, but opposite sign.

Distance between x-coordinate of the point J and the line x = 4 is 4 - 1 = 3

Which gives;

Distance between x-coordinate of the point J' and the line x = 4 is 4 + 3 = 7

Therefore, the coordinate of the point J' is [tex]\underline{J'(7, \, -1)}[/tex]

Similarly, we have;

Distance between x-coordinate of the point K and the line x = 4 is 4 - 2 = 2

Distance between x-coordinate of the point K' and the line x = 4 is 4 + 2 = 6

The coordinate of the point K' is [tex]\underline{K'(6, \, 3)}[/tex]

Distance between x-coordinate of the point L and the line x = 4 is 4 - 2 = 2

Distance between x-coordinate of the point L' and the line x = 4 is 4 + 2 = 6

The coordinate of the point L' is  [tex]\underline{L'(5, -2)}[/tex]

Learn more here:

https://brainly.com/question/24758871

solve pls brainliest

Answers

Answer : $960 after the first 6 years ; $8960 total

Answer:

I=Prt

(I= interest

P=principle amount

r=rate per year in decimal form

t=time period)

●I = Prt

I = 8000×(2/100)×6

I = 8000×0.02×6

I =$960

BRAINLIST PLS

3.5x^3-2.3x^2+1.4x+15.6-1.2x^3+4.5x^2-0.3x-3.2

Answers

Answer: 12.4 + 1.1x + 2.2x^2 + 2.3x^3

Step-by-step explanation:

add the like variables

I will give BRAINLIEST please help

Answers

Answer:

-2.43 then -2 2/3 then 2.045 then 2 5/9 that is from least to greatest :) hope this helps

Step-by-step explanation:

i am positive :)

just to make sure you got it i put this in your comments too !

help me please bjsowownxnwkwndndiwijsjs​

Answers

I’m pretty sure you just have to write 7

karl is 4 years older than danny. eigt years ago carl was twice as old as danny. How old is danny now

Answers

Answer:

Karl is 16 and Danny is 12

Step-by-step explanation:

Danny is 12. His brother karl is 16 possibly

Under his cell phone plan, Josiah pays a flat cost of $37 per month and $3 per gigabyte. He wants to keep his bill at $43.60 per month. Write and solve an equation which can be used to determine xx, the number of gigabytes of data Josiah can use while staying within his budget.

Answers

The number of gigabytes of data Josiah can use while staying within his budget is 2.2 gigabytes.

Flat costs and Variable cost

The total amount of money that can be spent on the cell phone plan is the sum of the flat cost and the variable cost.

Total cost = flat cost + variable cost

Determination of the equation required to solve for the gigabytes needed

The flat cost is the cost that remains constant each month. The variable cost is the cost that increases by gigabyte used.

$43.60 = $37 + $3x

The gigabytes needed

In order to determine the value of x, combine similar terms together

$43.60 - $37 = $3x

6.6 = $3x

Divide both sides by 3

6.6/3 = x

x = 2.2 gigabytes

To learn more about flat costs, please check: https://brainly.com/question/25879561

What property is illustrated in the following equation?

8 + 5 = 5 + ?

Answers

The answer is communitive property.

Answer: 3

Step-by-step explanation: Did it recently.

Please help me answer thi question

Answers

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (2, 3 ) and (x₂, y₂ ) = (5, 3 )

m = [tex]\frac{3-3}{5-2}[/tex] = [tex]\frac{0}{3}[/tex] = 0

Would two successive 90° rotations counterclockwise about the origin result in the same image as a 180° rotation clockwise about the origin? Explain.

Answers

Answer:

When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative. When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative.

Step-by-step explanation:

x is a whole number such that 7x – 3 > 18
Write down the smallest value of x.

Answers

7x - 3 > 18

Add 3 to both sides

7x > 21

Divide both sides by 7:

X > 3

Since x has to be greater than 3 the smallest whole number that would work is 4

Answer: 4

Answer:

see below

Step-by-step explanation:

7x – 3 > 18

Add 3 to each side

7x – 3+3 > 18+3

7x> 21

Divide by 7

7x/7 >21/7

x > 3

The smallest integer value of x is 4

1/2 divided by 1/8 in simplest form
Will give brainliest and 5 star rating plus thanks plz help quickly

Answers

Answer:

maybe 4

Step-by-step explanation:

Answer:

So 1/2 divided by 1/8 in simplest form is 4

Step-by-step explanation:

[tex]\frac{1}{2}/\frac{1}{8}[/tex]

You use the rule of Keep Change Flip when dividing fractions

You keep the 1/2

Change the division sign to multiply

Flip 1/8 to 8/1

[tex]\frac{1}{2} * \frac{8}{1}[/tex]

Now you have to multiply [tex]\frac{1*8}{2*1} = \frac{8}{2}[/tex]

Simplify by factoring by 2 [tex]\frac{8}{2} = \frac{4}{1} =4[/tex]

solve pls brainliest

Answers

A is 0.43%
B is 5.4 I hope this help

Answer:

0.43%

5.4

Step-by-step explanation:

To convert 0.0043 to a percentage, multiply the number 0.0043 by 100

0.43%

In decimal form, 540 percent equals

5.4

Calculate the simple interest on investing $650 for 3 years at rate of 11% per annum.

Answers

Answer:

214.5 usd

Step-by-step explanation:

blc we will do 650 times 11 .over 100 to get the annual the multiply it by 3

HOPE HELPED!!

Find the perimeter. Simplify your answer.

Answers

Answer:

4s + 2

Step-by-step explanation:

The way we find the perimeter is we add up all the sides

s+1 + s + s+1 + s

Now we add up light terms and we get 4s+2 as our answer

Answer:

4s+2

Step-by-step explanation:

For perimeter we just have to add up all the sides.

So the equation would look like this:

s + s + (s+1) + (s+1)

There are 4 s variables and 1+1=2

So this can be simplified into :

4s+2

Hope this helps!

(Pls mark as brainiest)

Thanks!

help please i only have 20 mins left

Answers

4748

Step-by-step explanation:

20 pts But help me with this problem.

Answers

Answer:

You put 10 pts by accident lol.

Nahh it’s just 10pts bro



What is the total mass if 120% of the mass is 720 kg?

Answers

Answer:  600

Step-by-step explanation:

 Let the mass as x.

So,

120% of x = 720

» 120 x/100 = 720

» 6 x / 5 = 720

x = 720×5 / 6

= 120 ×5 = 600 Ans.

helpfully...

brainliest.

Answer:

= 120 ×5 = 600 Ans.

Step-by-step explanation:

Solve each system by elimination
7x + 8y = -29
-3x -8y = 17

Answers

4x=-12
x= -3
Now that we know the value of x we plug that value into the first equation to solve for y
7(-3) +8y=-29
-21+8y= -29
8y=-8
y= -1

Tom wants to spend a total of $245 on a hotel. The total cost per night at his hotel $37 the online booking company charges a one time fee of $60. a) write and equation to represent this problem $37

Answers

Answer:

60+37x=245

Step-by-step explanation

x = 5

How to solve it out?

Answers

Step-by-step explanation:

the sum of the interior angles of a polygon (a closed object with n edges) is always (n-2)×180°.

we have here 5 edges, so the sum of all 5 angles is

(5-2)×180 = 3×180 = 540°.

now, let's simply calculate

5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 + 10x - 3 = 540

43x - 62 = 540

43x = 602

x = 14

therefore,

angle S = 13x - 31 = 13×14 - 31 = 182 - 31= 151°

You can spend at most $24 at the fair. Game tickets cost $2 each and ride tickets cost $4 each. You want to buy at least 3 game tickets and more than 2 ride tickets. Write and graph a system of linear inequalities to represent this situation. How many of each ticket could you buy?

Answers

Your game tickets are $6 total. Your ride tickets would run you about $12.

$2 x 3 = 6

$4 x 3 = 12
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