Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use the table to answer the following questions.
Time (hours) Distance (miles)
2 90
3 135
5 225
6 270
1. Find the constant of proportionality.

2. Use the constant of proportionality to write a unit rate for the data in the table.

3. Write an equation to represent the relationship between time, t, and distance, d.

Can you please do step by step showing us how you got the answers?

Answers

Answer 1

Answer:

1. Time (hours): 1     Distance (miles): 45

2. 1;45

  2;90

  3;135

  4;180

  5;225

  6;270

3. (c= constant of proportionality)

c= [tex]\frac{distance}{time}[/tex]

c=[tex]\frac{90 miles}{2 hours}[/tex]

c= 45 miles per hour

Step-by-step explanation:

So you may see for each hour they are going 45 miles by dividing 2 by 2 and 90 by 2, so there constant of proportionality is 45 miles per hour. (answer 3 is the step by step)


Related Questions

Barb pulled the plug in her bathtub and it started to drain. The amount of water in the bathtub as it drains is represented by the equation L = -5t - 8t + 120, where L represents the number of liters of water in the bathtub and t represents the amount of time, in minutes, since the plug was pulled. How many liters of water were in the bathtub when Barb pulled the plug? Show your reasoning. Determine, to the nearest tenth of a minute, the amount of time it takes for all the water in the bathtub to drain.

Answers

The bathtub had 120 L of water before Barb pulled the plug.

It will take about 9.23 minutes for the water to drain out.

Given equation: L = -5t - 8t + 120

Simplified: L = -13t + 120

Notice how it's written in slope-intercept form (y = mx+b)

The y-intercept (L) is 120. So the coordinates for L = (0 , 120)

The coordinates mean that before the water in the bathtub began draining out, it initially had 120 Liters of water.

Now that we know how many liters there were before, the new equation would look like this: L = -13t --> 120 = -13t

Solving the equation, we get that t = -9.23 minutes

Since time can't be negative, we'll just say that it will take 9.23 minutes to drain out all the water.

The bathtub had 120 L of water before Barb
pulled the plug.
It will take about 9.23 minutes for the water to
drain out.
Given equation: L=-5t - 8t + 120
Simplified: L=-13t + 120
Notice how it's written in slope-intercept form (y
= mx+b)
The y-intercept (L) is 120. So the coordinates for
L= (0, 120)
The coordinates mean that before the water in
the bathtub began draining out, it initially had
120 Liters of water.
Now that we know how many liters there were
before, the new equation would look like this: L
=-13t -> 120 = -13t
Solving the equation, we get that t=-9.23
minutes
Since time can't be negative, we'll just say that it
will take 9.23 minutes to drain out all the water.

can someone please help me with this?

Answers

The answer is MN

Step-by-step equation: they are both slanted and on the far left of the shape. (They look the same!)
The answer is A). MN

Brainliest, yas, help pls

Answers

Answer:

1st box: 6/9

2nd box: 1/9

3rd box: 5/9

Step-by-step explanation:

Finding the LCD is pretty simple here, it has to at least be the highest denominator, which is 9, and since 3 goes into 9 evenly we get a LCD of 9.

Then to make the fractions correct we do 2/3 x 3/3 which is 6/9.

So now we figure out 6/9 - 1/9 which is just subtracting the numerator so 6/9 - 1/9 = 5/9 and since that is the most it can be simplified, 5/9 is our answer. Hope this helps!

Answer:

6/9

1/9

5/9

What is a least common denominator?

Well, a least common denominator is the smallest number of all the common multiples of the denominators when 2 or more fractions are given.

Find LCM(3, 9)

3: 3, 6, 9,

9: 9

2/3 =   2/3  × 3/3 =  6/9

1/9 =    1/9 × 1/1 =  1/9

2/3 = 6/9

1/9 = 1/9

6/9 - 1/9 = 5/9

Therefore the answers are in bold.

can sb please help me

Answers

Answer:

the answer is 19

Step-by-step explanation:

hence the output is 19 hope it help u

putting the value of x in rule

2x+7

2*6+7

=19

hey there!

Given rule is 2x + 7

For x = 6 we get,

2(6)+7 = 19.

Whats the answer????

Answers

Answer:

A has been reflected over the x-axis

B has been reflected over the y-axis

C has been reflected over the x-axis

Step-by-step explanation:

The answer is B because I did the math

(PLS HELP MY TEACHER WANTS ME TO PASS THIS!)

It costs $50 to be a member of an online gaming service. The membership allows you to play games online for free; however, you will still need to purchase games for $60 each. if you can purchase up to 6 games a year, which are the domain and range of this linear function? (answer choices in picture)

Answers

it would be the 3rd answer
It would be the 3rd answer

Do 18/24 and 10/15 have the same value? Explain your answer in complete sentences.

Answers

Answer:

No

Step-by-step explanation:

We can either cross multiply or turn into decimal form to see if they have the same value.

I will be showing both.

Cross Multiply:                                                   Decimal Form:

[tex]\frac{18}{24} \;[\;\;] \frac{10}{15}[/tex]                                                [tex]\mathrm{To\;turn\;fraction\;into\;decimal\;just}[/tex]                                

[tex]18\times15=270[/tex]                                               [tex]\mathrm{Divide\;numerator \;by \;denominator\;}[/tex]

[tex]24\times10=240[/tex]                                                [tex]\mathrm{18\div24=0.75}[/tex]

[tex]\frac{18}{24} \;[ > ] \frac{10}{15}[/tex]                                                           [tex]\mathrm{10\div15=0.66666666666}[/tex]

[tex]\mathrm{As\;a\;result\;we\;can}[/tex]                                             [tex]0.75 > 0.66666666666[/tex]

[tex]\mathrm{conclude\;that\;\frac{18}{24} \;is\;greater\;than\;\frac{10}{15}}[/tex]                     [tex]\frac{18}{24} \;[ > ] \frac{10}{15}[/tex]

We can conclude that 18/24 and 10/15 are not the same.

~Kavinsky

No, because when you simplify they do not add up to a common denominator

16. Consider any eight points such that no three are collinear.
How many triangles are determined?

Answers

Let's assume that a,b&c are in one straight line, so cannot form a triangle with each other. Now, total possible Triangle that can be formed choosing any 3 points without any colinear constraint is 8C3 = 56

Triangle weighs 3 grams Circle weighs 6 grams. Write an equation to represent each hanger. Let x represent the pentagon.

Answers

Answer:

Answer: 3.75 g

Step-by-step explanation:

Assume the weight of the square is x.

The hanger is in balance so the left side is equal to the right side.

Equation therefore is:

Triangle + Square + 3 * circle = 5* square + circle

3 + x + (3 * 6) = 5x + 6

3 + x + 18 = 5x + 6

5x - x = 3 + 18 - 6

4x = 15

x = 15/4

x =  3.75 g

Pls help me i dont understand no links also giving brainliest to correct answer

Answers

Answer:

hi I don’t know what you need because there is no picture but if you need help with other things I can help.

Step-by-step explanation:

What would you like us to help you with? I would love to help!

-1 1/2 _ -1 3/4 which one is greater or less, or equal?

Answers

Answer:

The answer is -1 1/2 is less than -1 3/4

Step-by-step explanation:

I look at it more as numbers, so for example 1/2 can be simplified into 50, and 3/4 is 75/ 75 would be greater if it was positive. But, with there being a negative 1 in front of the answer, the lowest number closest to 0 is better. :D

Answer: -1 1/2 is greater

Step-by-step explanation:

-1 1/2 is closer to zero and that makes it larger because they are negative numbers.

What is the sales tax on a refrigerator priced $1269, if the sales tax rate is 6.7%?

Answers

Answer:

sales tax: $85.023

Explanation:

Original or actual price is always of 100%

Solving:

100% = $1269

Find the unit percent :

1% = $(1269/100) = $12.69

Find the sales tax :

$12.69 × 6.7 = $85.023

$1269 X 0.067 (6.7% : 100) = 85.023

Must answer correctly don't put something random for points or getting reported

You have recently purchased a new backpack as show in the picture. The main section of the backpack is made of a rectangle gular prism. Use the diagram to find the volume of your new backpack, then explain how u calculated the answer. Use the pictures with the formulas to help also use the sentence starters.
Sentence Starters:
The volume of the large rectangular prism (the bottom part of the backpack) is __inᶾ.
The volume of the pocket, which is also a rectangular prism is _____ inᶾ.
The volume of the half cylinder, which is the top curve of the backpack, is _____ inᶾ.
When you add all three of these together, you get the total volume of _____ inᶾ.

Hint: Find the volume of each shape; there are 3 of them; two rectangular prisms and half of a cylinder, and then add all 3 of them together. For the cylinder, you only need half, so find the volume of the whole cylinder then divide it by 2 for half. )

Answers

Answer:

Main part of backpack V = 840 inᶾ

Front pocket of backpack V = 64 inᶾ

Top curve of the backpack V = 395.8406744 inᶾ

Total V = 1299.840674 inᶾ

Step-by-step explanation:

1.

As we know, the formula for the volume of a rectangular prism is width x height x length (V = whl).  We will use this formula to find the volume of the large rectangular prism (bottom part of the backpack) and the volume of the smaller rectangular prism (the pocket).  As for the cylinder, we know the formula for the volume of a cylindrical prism is pi x radius squared x height (V = πr^2h).  We will use this formula to find the volume of the half cylinder (top curve of the backpack).

2.

For the large rectangular prism (main part of the backpack), we are given:

w = 7in

h = 10in

l = 12in

Now let's incorporate our formula for the volume of a rectangular prism into this situation.

V = whl

V = 7 x 10 x 12

V = 840 inᶾ

3.

Now for the smaller rectangular prism (front pocket of backpack), we are given:

w = 2in

h = 4in

l = 8in

Now let's incorporate our formula for the volume of a rectangular prism into this situation.

V = whl

V = 2 x 4 x 8

V = 64 inᶾ

4.

Now to calculate volume for the half cylinder (top curve of the backpack), we must first imagine that this is a full, circular cylinder.  We are given:

r = 6in

h (which will be the same as the width of the backpack in this case scenario) = 7in

Now let's incorporate our formula for the volume of a rectangular prism into this situation.

V* = πr^2h

V* = π x 6^2 x 7

V* = 791.6813487 inᶾ (round this number if you must)

Now that we have the volume of a whole cylinder, we can halve it (divide by two) since we only need half of the cylinder.

V = V*/2

V = 791.6813487/2

V = 395.8406744 inᶾ (round this number if you must)

5.

Finally, we can add our volumes together to acquire the volume of the backpack as a whole!

Large rectangular prism (bottom part of the backpack) + Smaller rectangular prism (the pocket) + Half cylinder (top curve of the backpack) = Total Volume (Whole backpack)

Recall that:

Large rectangular prism (bottom part of the backpack) = 840 inᶾ

Smaller rectangular prism (the pocket) = 64 inᶾ

Half cylinder (top curve of the backpack) = 395.8406744 inᶾ

So:

Total Volume (Whole backpack) = 840 inᶾ + 64 inᶾ + 395.8406744 inᶾ

Total Volume (Whole backpack) = 1299.840674 inᶾ (round this number if you must)

explain in word form.

Answers

Answer:

62

length x width x hight

Step-by-step explanation:

answer : 63

length x width

you’re welcome

The temperature rised 3 °F every hour for 6 hours. What was the total number of degrees the temperature changed in the 6 hours?

-18 degrees
9 degrees
18 degrees
-10 degrees

Answers

Answer:

18 degrees

Step-by-step explanation:

6 hours times 3 Fahrenheit every hour is 18 Fahrenheit

The answer will be 18 degrees

idc what your answer is. as long as it is related to the problem and makes sense, its based off of your opinion. (2 attachments, 4 problems)

Answers

Answer:B

Step-by-step explanation:

helppp please i really

Answers

Answer:

the and is 574

Step-by-step explanation:

in the function table it shows that that they r all multiples of 14

therefore 14×41 = 574

Answer:

574

Step-by-step explanation:

PLS HELP ME
What is the interquartile range of the data? With the numbers 2,3,3,4,5,7,8,8,8,10,10, and 12

Answers

Answer:

5.5

Step-by-step explanation:

2,3,3,4,5,7,8,8,8,10,10,12

The mean of this data is 7.5.  So what you are trying to figure out is the mean between 2 and 7.  Since that is 3 and 4 it would be 3.5.  So 3.5 is the Q1.  Now you have to figure out the mean between 8 and 12.  That is 9.  This is Q3.  You have to subtract 9-3.5 and that is the interquartile range. So 5.5 is the answer.  I hope that made sense.

HELP PLEEEAAASEEEE
A farmer planted 154 tomato plants. 46 of the plants d!ed. He replanted the plants in rows, with each row containing 9 plants. Which equation can be used to find p, the number of rows the farmer planted?
A) p = (154 46) × 9
B) p = (154 46) − 9
C) p = (154 − 46) 9
D) p = (154 − 46) ÷ 9

Answers

Answer:

154+46×9 is the write answer

C) p =(154 - 46) x 9 is the correct answer

What is the volume of the figure below?
2 stacked rectangular pyramids. The pyramids have a base of 4 feet by 5 feet and a height of 4.5 feet.

30 feet cubed
60 feet cubed
90 feet cubed
120 feet cubed

Answers

4*5*4.5=90
The correct answer is C 90
Volume always has 3 measurements
4•5=20
20•4.5=90
90 feet cubed

Help me out with this math problem for 50 points!!!

Answers

8 bags because 4/5 divided by 1/10 is 8 and 8 x 1/10 = 4/5
He will fill 8 bags because 4/5 divided by 1/10 is 8.

There is an equal number of 2 brands of watches on a shelf. Brand at watches cost $58 each, and Brand B watches cost $30 each. If the total cost of all the watches on the shelf is $22,000, how many watches are there?

Answers

Answer: There are 227 watches.

Step-by-step explanation:

What I did was that, I added the cost of watch A and B and then divided the sum by $22,000

let x=total number of watches
x/2*58=x/2*30=22000

58x/2+30x/2=22000
58x+30x=44000
88x=44000
x=44000/88=500
Ans:
Number of watches on the shelf=500

need some help!! gotta get those grades up

Answers

The correct answer is the second choice! Hope that helps! :)

Pls answer quick and no links! I’ll give brainliest to the correct answer

A large solar panel is designed to have multiple smaller sections. A small section of one panel is pictured below. Imagine it breaks and needs to be replaced. Your friend says that it has an area of 30.4 inches. Do you agree? Explain your reasoning.

(Edge math project: International Space Station -Finding Area Project - Step 1: question C)

Answers

Anwser: Disagree
Step 1: Identify(find the area and contrast)
Step 2: Formulate((10.4 * 4.8)/2)
Step 3a: Solve Inside((49.92)/2)
Step 3b: Solve Complete(24.96)
Step 4: Contrast(24.96 != 30.4)
Step 5: Finalize(Disagree)

The requried small section of the solar panel does not have an area of 30.4 inches.

What is surface area?

Surface area is defined as the measure of a region or surface is called as surface area.

Identify the problem and find the area of the small section.

Formulate the area using the dimensions provided: (10.4 x 4.8)/2

Solve for the area: (49.92)/2 = 24.96

Contrast the calculated area with the given area: 24.96 is not equal to 30.4.

Finalize the answer: Disagree, the small section of the solar panel does not have an area of 30.4 inches.

Thus, the requried small section of the solar panel does not have an area of 30.4 inches.

Learn more about the surface area here: https://brainly.com/question/2835293

#SPJ2

PLEASE HELP!! FIRST QUICK CORRECT ANSWER GETS BRAINLIEST

Answers

Answer:

A) [tex]x=42\sin32^\circ[/tex]

Step-by-step explanation:

With respect to our angle, the side opposite to it is [tex]x[/tex], and the hypotenuse is [tex]42[/tex], so the trig ratio we need to use here is sine as [tex]\displaystyle \sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]. Hence, if we rearrange the equation so that we solve for the opposite side [tex]x[/tex], then we'll have [tex](\text{hypotenuse})(\sin\theta)=\text{opposite}\rightarrow42\sin32^\circ=x[/tex] as the correct equation.

A I had just taken this test and got 100%

BRAINLIEST TO THE RIGHT ANSWER!!!! 50PTS
SHOW ALL YOUR WORK

part 1: Paul the alien uses the function y=5/4 x+7 to model the situation. What weight does the model predict for an infant of 16 months?
part 2: What does the number 5/4 in Part (1) mean in the context of the situation?
part 3: What does the number 7 in Part (1) mean in the context of the situation?

Answers

Answer:

See below

Step-by-step explanation:

1   put in  16 for x

   5/4 (16) + 7 = 27 pounds  at 16 months  

2  5/4 would be the pounds an infant should put on each month

3  7 would be when the infant is born ( x = month 0)     7 pound birthweight

Answer:

See below

Step-by-step explanation

Step-by-step explanation:

1   put in  16 for x

  5/4 (16) + 7 = 27 pounds  at 16 months  

2  5/4 would be the pounds an infant should put on each month

3  7 would be when the infant is born ( x = month 0)     7 pound birthweight

1. What is the probability of spinning a multiple of 2 and flipping heads?

Answers

You have 1/2 of a chance
2/4 chance because x+2/4=#%q1/2

31. You want to bring a wolf, a goat, and a cabbage across a river. You are the rower and don't get out of the boat. The wolf wants to eat the goat, and the goat wants to eat the cabbage, but neither will happen as long as you are near. Besides yourself, there is room for only one item in the boat. How can you bring all three across the river?

Answers

The rower can bring all of them to another side because if he put sheep and wolf along with wolf will eat the sheep.

What is logical thinking?

The process of applying a chain of reasoning to solve a problem and achieve a conclusion is known as logical thinking. It's an effective method for conquering seemingly insurmountable difficulties because it gives you the mental tools you need.

We have:

You want to bring a wolf, a goat, and a cabbage across a river. You are the rower and don't get out of the boat.

The rower first takes the sheep to the other side then again from the starting point he takes the wolf and takes it to another side then picks the sheep to take it to another side then and drops the sheep at the starting point and picks the cabbage then drop it to another side then again pick the sheep and drop to another side.

Thus, the rower can bring all of them to another side because if he put sheep and wolf along with wolf will eat the sheep.

Learn more about the logical thinking here:

https://brainly.com/question/4073398

#SPJ1

A bag contains tiles of different colors. Jackson randomly selects a tile from the bag and returns the tile to the bag after recording the color. Jackson picks a green tile 6 times, a red tile 20 times, a blue tile 7 times, a purple tile 8 times, and a black tile 4 times.

Answers

Answer:

2/15

Step-by-step explanation:

The answer choices to this question do not make sense since probability is a measure that is always <= 1.0

Based on the number of times a particular colored tile is drawn we can assume that at the minimum there are 6 green, 20 red, 7 blue, 8 purple and 4 black tiles

Total number of tiles = 6 + 20 + 7 + 8 + 4 = 45

Probability of drawing a green tile = 6/45 = 2/15

Pls answer this, first one to answe this gets brainliest!

Answers

Answer:

22
St

ep-by-step explanation:

Find the middle value of the data set and that is your answer. If there are 2 middle values then add them together and divide by 2.

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