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.

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Related Questions

Does the point (4, 10) satisfy the inequality y greater than or equal to 2x + 2?

Answers

Answer:

Yes, the point (4,10) satisfies the inequality.

Step-by-step explanation:

In order to answer this question, we can plug the values x = 4 and y = 10 into the inequality:

y ≥ 2x + 2

10 ≥ 2(4) + 2

Then solve:

10 ≥ 8 + 2

10 ≥ 10

Since the value 10 is greater than or equal to itself, the inequality is true at the point (4,10).

Is w = 4 a solution to the inequality below? w < 11 5 yes no ​

Answers

Answer:

yes

Step-by-step explanation:

just sub in the 4 for the w and see if the equation can be solved. if it can, then w=4 is a solution.

since 4 IS less than 11 5, w=4 can be a solution.

Brainliest please!!! Have a good day!!!!

Question 3 options:
The science club fires a rocket up into the air.

The height (h) of the rocket, in feet above the ground,

is modeled by the formula h=400t−16t2, where t is the time in

seconds after the rocket is launched.

How many seconds will it take for the rocket to fall to the ground?

Find the value of t, rounded to the nearest tenth.

[how many seconds it took for the rocket to hit the ground].

t =

Answers

The height of an object can be represented as a function of time.

It takes the rocket 25 seconds to hit the ground

The height function is given as:

[tex]\mathbf{h(t) = 400t - 16t^2}[/tex]

When the rocket hits the ground, we have:

h(t) = 0

So, the height function becomes

[tex]\mathbf{ 400t - 16t^2 = 0}[/tex]

Rewrite as:

[tex]\mathbf{ 16t^2 = 400t}[/tex]

Divide both sides by 16t

[tex]\mathbf{ t = 25}[/tex]

Hence, it takes the rocket 25 seconds to hit the ground

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Determine if the table represents a linear function, quadratic function, or exponential function.

Answers

Answer:

please no of one is not function so sorry

HELP ASAP 10 POINTS WILL MARK BRAINIEST IF CORRECT

Answers

Answer:

Bryan

Step-by-step explanation:

Rate of Change

Answer:

Malory Makes more money than bryan

Step-by-step explanation:

Simplify the expression.

16-4[3+2÷(9-7)]

A) 0
B) 6
C) 30
D) 64​

Answers

please branliest if correct

It is 0 (A)

16-4(3+2:2)

16-4(3+1)

16-4 x 4

16-16=0

The answer to your question is A aka 0

find slope and y intercept
x + y = -2

Answers

Answer:

slope =1 and y intercept = -2

Step-by-step explanation:

Find Slope and Y intercept

Slope and Y intercept

x+y=-2<-- subtract x to get y alone

y=-x-2

Thus slope is 1/1 or 1

and y intercept is -2

Answer:

-1

Step-by-step explanation:

y=mx+c  m=slope

c=y intercept

y=-x+2

so the slope is -1 and intercept of 2

-4(x+9)+44=16-5x
solve the equation

Answers

Maybe 8/11, if you want it as a decimal it’s 0.723…

A class is collecting aluminum cans. Every Monday each student brings in a bag with 10 cans. They put 10 bags into a box. How many boxes do they need to hold 1000 cans

Answers

Answer:

the answer is 100.

Step-by-step explanation:

divide 1000 by 10

The number of boxes required to hold 1000 cans is 100 bags.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, every Monday each student brings in a bag with 10 cans.

They put 10 bags into a box.

So, number of boxes required to hold 1000 cans

= 1000/10

= 100 bags

Therefore, the number of boxes required to hold 1000 cans is 100 bags.

To learn more about the unitary method visit:

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There are 13 books on your shelf, and you will take 5 of them on vacation with you.

How many ways can the books be chosen?

Answers

Answer:

Important, funny and book about the place you are going?

Plz helpp
23% of the mix was cadmium. The total weight is 3000 grams. What is the weight of the other constituents?

Answers

Answer:

690

Step-by-step explanation:

23% of 3000 is 690 (love your username btw; 2️⃣ Set

it takes an ant farm 3 days to consume 1/2 of an apple. At that rate in how many days will the ant farm consume 3 apples

Answers

Answer:

18 days

Step-by-step explanation:

1/2 apple = 3 days

3 apples = 18 days

18 days
as 1/2 of a apple takes 3 days.
1 whole apple = 6 days
6 x 3 = 18.

Find the value of x in the equation below. 5.4=2x

Answers

Answer:

x = 2.7

Step-by-step explanation:

5.4 = 2x

2x = 5.4

Divide both sides by 2.

x = 2.7

Answer: x= 2.7

1. Divide 2 on both sides

2. cancel terms who have the same numerator and denominator

Does anybody have the answer to this???? Thank You

Answers

Answer:

Step-by-step explanation:

h(4)=2w+3

4=2w+3

Collect like terms (c. I. T)

4-3=2w

1=2w

Divide both sides by 2(d.b.s)

1/2=2w/2

0.5=w

h=0.5w

Can some one help in thsi with the steps required

Answers

Answer: 24.5 m² ( area)

Step-by-step explanation:

See , Total area of wall is given - length , 6m - width/breadth , 5m

          so , Area of total wall = l x b = 6*5 = 30m²

so , there is a window whose length is 2 meters and breadth/width of 0.5m

         so , Area of window = l x b = 1m²

So , area of door  = length , 3 - Width/breadth- 0.5 m²

        So , Area of door = 3* 1.5 = 4.5

Then the question wants us to find the area of the wall without counting window and door . So we can subtract the area of door and window from the area of the whole wall to get the area of the wall without the window and door .

= total area of wall - area of window and door

30m²-1m²-4.5

So as a result , we get a total area of the wall without the window and door to be painted as  24.5m²

you are making cookies. The recipe calls for 5 cups of flour for every 2 cups of sugar.If you have 8 cups of flour, how many cups of sugar would you need?

Answers

Answer:

You should use 3 1/5 cups of sugar.

Step-by-step explanation:

what is the slope of the line graphed on the coordinate plane

Answers

Answer:

The slope = 3/4

Step-by-step explanation:

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

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

m = 3/4

The Smiths spend 6% of their budget on entertainment. Their total budget this year is $2,000 more than last year, and this year they plan to spend $2,880 on entertainment. What was their total budget last year?

Answers

Answer:

Total budget this year = $ 2000 more than last year. Let x = Budget for this year. Money on entertainment = 0.06x = 2760. ⇒ Budget for this ...

Step-by-step explanation:

can someone help me please​

Answers

Answer:

Step-by-step explanation:

One

The exterior angles of a triangle add up to 360. You know two of them. Therefore you can find w.

125 + 90 + w = 360    Combine like terms on the left

215 + w = 360             Subtract 215 from both sides

w = 360 - 215              Combine

w = 145

Two.

The polygon has 4 exterior angles. They too should add up to 360.

88 + x + 108 + 115 = 360     Combine the left had side

x + 311 = 360                       Subtract 311 from both sides

x = 360 - 311                        Combine

x = 49

What have you learned? You should notice that all polygons have exterior angles that add up to 360

please help i will make you brainliest

three step equations

Answers

Answer:

6:

x=  6(y−2)/5

8:a=−(b+c+4)

b=−(a+c+4)

Step-by-step explanation:


What are the values of m and n

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required values are ~

[tex]m = 60 \degree[/tex]

[tex]n = 30 \degree[/tex]

Refer to attachment for solution ~

List three negative numbers that are between -8 and -1

Answers

Answer:

the answer is -5 -3 -7 but there are more

Answer:

-7,-6,-5,-4,-3,-2 they are alot but you can take what every number

Mrs. Letting brought 40 cookies to school. Mrs. Letting's class ate 1/2 of the cookies and Mrs. Kim's class ate 1/4 of the cookies. How many cookies are left?

Answers

There are 10 cookies left.

Explanation:
There were 40 cookies to start with. If Mrs. Lettings class at 1/2 of the cookies, there are now 20 cookies left. Mrs Kim’s class then ate 1/4, because 1/4 of 40 is 10, then they ate 10 cookies. So there are now 10 cookies left

The cost to rent a moving van is $19.95 per day plus $0.52 per mile. The cost of renting a
car trailer to pull behind the van is $24.95 per day plus $0.24 per mile. Roberto is moving
from Los Angeles to Denver, Colorado. Which equation can he use to find his daily
rental costs c? (Use m for miles.)

Answers

Answer: 19.95 + 24.95 + (m times 0.52) + (m times 0.24)

Step-by-step explanation:

19.95 + 24.95 + (m times 0.52) + (m times 0.24)

The first 2 numbers are the one time costs then the numbers in brackets are for the cost per miles.

how do I become good at fortine ​

Answers

Answer:

practice.

Step-by-step explanation:

hope this helps. . . <3

good luck!     uωu

Answer:

umm work harder I guess -,-

Step-by-step explanation:

Jayden drank 2 glasses of water in the morning and 1/2 of a glass in the afternoon. How much water did Jayden drink in all?

Answers

Answer:

2.5 glasses of water

Step-by-step explanation:

Answer:

he drank 2 and a half glasses of water

Step-by-step explanation:

all u have to do is add up 2 and 1/2 to see how much he drank in all

This is probably easy oh well

Answers

c, the third answer…..
the third one which would be C.

Isabelle ran a distance of about 26 miles during a marathon. In other countries, kilometers is used to measure length. There are approximately 8 kilometers in 5 miles.

Which measurement is closest to the number of kilometers Isabell ran?

Answer
A
16.3 kilometers.


B
41.6 kilometers.


C
7.2 kilometers.


D
53.5 kilometers.

Answers

Answer:

Step-by-step explanation:

b

Which equation has the same solution as 7x−14=21?

Answers

Answer:

2x=10

Step-by-step explanation:

7x-14=21

x=5

2x=10 (divide both sides by two)

2x/2  10/2

x=5

Yky. we'd to provide the other options but to do this you need to +14 to both side. 21+14 then -14+14 cancel. so it's now

7x=35 then you divide 7 in both sides 7 cancels 35/7 =5

x=5

The number 59 is increased to 60. What is the percentage by which the number was
increased, to the nearest tenth of a percent?

Answers

Answer:

the answer is 1.7

Step-by-step explanation:

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