Someone please help me with this
Your distance from lightning varies directly with the time it takes you to hear thunder. If you hear thunder 10
seconds after you see the lightning, you are about 2 miles from the lightning.

a. Write a direct variation equation for the relationship between time and distance.

b. Estimate how many seconds it would take for the thunder to travel a distance of 4 miles.

Answers

Answer 1

Answer:

[tex]a.\ D=\dfrac{1}{5}t[/tex]

b. 20 seconds

Step-by-step explanation:

Let [tex]D[/tex] be the distance in miles and

[tex]t[/tex] be the time in seconds and

[tex]s[/tex] be the speed in miles/sec

Formula for Distance is given as:

[tex]Distance = Speed \times Time\\OR\\D=st[/tex]

Given that:

Distance = 2 miles and

Time = 10 seconds

Putting the values in formula:

[tex]2=s\times 10\\\Rightarrow s =\dfrac{1}{5} \ miles/sec[/tex]

Answer a:

Putting the value of [tex]s[/tex] back in the formula to find the direct variation equation for the relationship between time and distance:

[tex]D=\dfrac{1}{5}t[/tex]

Answer b:

Using the above formula and putting [tex]D=4\ miles[/tex]:

[tex]4=\dfrac{1}{5}t\\\Rightarrow t =\bold{20\ seconds}[/tex]


Related Questions

there are 9 water bottles in devin's fridge. he adds two cases that are each missing a bottle of water. when he is done, there are 31 bottles in the fridge. how many bottles are in a case?

Answers

Answer:

12

Step-by-step explanation:

Add two to the number of water bottles (33), subtract 9 (24) and divide in half, giving you 12.

the empire state building weighs about 7.3X10 to the 8 power (pounds) the world trade center building weighs about 88,200,000 pounds. what’s is total weight, in pounds, of these two buildings? Expressing your answer in scientific notation in the form aX10 to the power of B, what are the values of A and B?

Answers

Answer:

which principle prevents a brach from abusing  its powerwhich principle prevents a brach from abusing  its power

Step-by-step explanation:

Solve for y: 8x - 3y = 17


Option 1: y = -3/8 x - 17/3


Option 2: y = 8/3 x - 17/3


Option 3: y = -8/3 x + 17/3


Option 4: y = 3/8 x + 3/17




PLEASE SHOW STEPS.

Brainliest will be awarded to whoever answers with steps and correctly.

# 12 points

Answers

Answer:

x = 2.125 + 0.375y

Step-by-step explanation:

Simplifying

8x + -3y = 17

Solving

8x + -3y = 17

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3y' to each side of the equation.

8x + -3y + 3y = 17 + 3y

Combine like terms: -3y + 3y = 0

8x + 0 = 17 + 3y

8x = 17 + 3y

Divide each side by '8'.

x = 2.125 + 0.375y

Simplifying

x = 2.125 + 0.375y

Potential Energy is ____ energy

Answers

Answer:

potential energy is mechanical enerygy.

Answer:

kinetic energy

Step-by-step explanation:

Haley bought 1.6 pounds of almonds for $13.20. How much did she pay per pound?

Answers

$8.25

Divide 13.20 by 1.6

Stuffed animals each weighing 1/4 pound are on a scale.the scale shows 1-1/2 pounds how many stuffed animals are on the scale?

Answers

Answer:

6

Step-by-step explanation:

if its 1&1/2 then it would be 6

Answer:

6 stuffed animals!

Step-by-step explanation:

This is the answer because: 1/4+1/4=1/2

and, 1/4+1/4+1/4+1/4=1 cup! put them together and you get your answer :D


What is 2/3 divided by 4/5???????

Answers

Answer:

10/12 also 5/6

Step-by-step explanation:

Answer:

10/12 or the simplified version 5/6

Step-by-step explanation:

you have to multiply 2/3 by the reciprocal of 4/5 which is 5/4

so you write down 2/3 times 5/4 (just multiply across so it's 2x5 over 3x4)

2x5=10 and 3x4=12

10 is the numerator and 12 is the denominator

simplify if the problem calls for it by dividing the top and bottom numbers by 2

Simplify the expression.
(7x4)?
(7x4)2 =

Answers

56 ??? i’m pretty sure that’s the answer

Answer:

14

Step-by-step explanation:

i took the test

S.The number of hours spent in an airplane on a single flight is recorded on a dot plot. The mean is 5 hours and the standard deviation is approximately 5.82 hours. The median is 4 hours and the IQR is 3 hours. The value 26 hours is an outlier that should not have been included in the data. 6 8 10 12 14 16 188 20 22 24 26 28 number of hours spent in an airplane When the outlier is removed from the data set a. What is the mean? b. What is the standard deviation? 1-3 C. What is the median? d. What is the IQR? (From Unit 1, Lesson 14.)​

Answers

Answer:

mean: 3.5

standard deviation: 3

median: 3.5

IQR: 3

Step-by-step explanation:

I mean all you gotta do is look at the table that is shown and since the graph is symmetrical the median and mean would be at the center and the standard deviation is basically how far away most of the data points is going to be from the center and the IQR is easy you get the Q1 and Q3 then subtract then and you get 3. So ya.

To make 3/4 pound it makes nuts how many pounds of cashews would you add to 1/8 pound them almonds and 1/4 pound of peanuts

Answers

9514 1404 393

Answer:

  a.  3/8 lb of cashews

Step-by-step explanation:

The amount that needs to be added is the difference between the amount of mix wanted and the amount of mix provided by the given quantities of nuts.

  3/4 lb - (1/8 lb +1/4 lb) = (3/4 -1/4 -1/8) lb = (2/4 -1/8) lb = (4/8 -1/8) lb

  = 3/8 lb . . . . amount of cashews needed

Can someone help me??

Answers

Answer:
y= 120

33+87=120
180-120= 60
x= 60

180-60= 120
y=120


Write the four terms of the sequence f(n) = 12 + 3(n-1)



9,12,15,18,21



12,15,18,21,24



-12,-9,-6,-3,0

Answers

Answer:  B) 12, 15, 18, 21, 24

Explanation:

The given arithmetic sequence is of the form

a+d(n-1)

where 'a' is the first term and d is the common difference

In the case of

12+3(n-1)

we have a = 12 as our first term and d = 3 as the common difference. This means we start with 12 and add on 3 to each term to get the next one

12+3 = 15

15+3 = 18

18+3 = 21

21+3 = 24

and so on.

Side note: your teacher asks about the first four terms, but each answer choice lists five terms.

Look at the figure. Which of the following segments is not skew to
Ej?

Answers

Answer:

AE

Step-by-step explanation:

Because it intersects with EJ.

Whereas skew lines are those that do not inersect and not parallel with each other.

Hope it helps :)

Answer: AE

Step-by-step explanation:

-15x²+7x+23=0 i just need the answer of it even it's not correct charr cge na loves​

Answers

Use the quadratic formula where -15 = a, 7 = b, 23 = c:  [tex]\frac{-b +- \sqrt{b^2 - 4ac}}{2a}[/tex]

Plug in the values: [tex]\frac{-7 +- \sqrt{7^2 - 4(-15)(23)}}{2(-15)}[/tex]

And get: [tex]\frac{-7 +- \sqrt{49 +1380}}{-30}[/tex]

Which simplifies to: [tex]\frac{-7 +- \sqrt{1429}}{-30} = (-7 + 37.8021163)/-30 OR (-7 - 37.8021163)/-30 = 30.8021163/30 OR -44.8021163/30[/tex]

Those are approximately 1 and -1.5

what is the chang in temperture from -24 to 15?

Answers

Answer:

38 degree difference

Step-by-step explanation:

24 + 15 =39

But they share the 0 degree spot so minus one.

39-1=38

Look at the warm-up document and determine your answer. Explain using a well thought out and complete sentence why you chose your answer

Answers

Answer:

The bottom right which I believe is D.

Step-by-step explanation:

All the other lines are increasing meaning they are going upward from left to right. The only one that isn't increasing is D and its decreasing.

IVE BEEN ASKING SINCE YESTERDAY!! LITTERALLY!!! EXTREAMLY EASY I AM JUST AFRAID TO GET THIS WRONG SO IF YOU COULD TAKE A MINUTE AND HAVE SOME PITY FOR ME PLS COME HELP AND LOOK!!! WHERE THE EXPERTS!!! THEY DONT COME HELP ANYMORE!!
(yes i know their is some black i did that purposely just do what is not black)
click the image if you want a closer look

Answers

Answer: sorry there isn’t color but you can probably figure out which colors to use for each one

Step-by-step explanation:

the temperature at midnight is -3 degrees the weatherman predicts the temperature to be 25 degrees warmer by noon the next day.find the temperature at noon

Answers

Answer:the tempature will be 22 degrees (i dunno if you measure in Farenheight or celcius so dunno)

Step-by-step explanation: because if the tempature

would rise it would be 22 whatever you measure with

2-75. Build, simplify, and solve each equation. Record your work. Steps Explanations c. 3 - 2x = 2x - 5
need the steps ans explanations please​

Answers

Answer:

x = 2

Step-by-step explanation:

Equation:

3 - 2x = 2x - 5

Step 1: add 2x on each side

3 = 4x -5

Step 2: Add 5

8 = 4x

Step 3: Divide by 4

x = 2

PLEASE HELP!!
Does anyone know how to answer this question correctly

Answers

not enough information to tell really but seems like both of those above should be your answer

How many sevenths are there in two wholes?

Answers

Answer:

14

Step-by-step explanation:

7 times 2 = 14

PLEASE HELP!

Your life insurance policy is $5.01 per pay. If you are paid biweekly, what is your total annual cost for life insurance?

A. $88.76
B. $60.12
C. $130.26
D. $120.24

Answers

Answer:

d 120.24

Step-by-step explanation:

please help me 60 points please show all work this is due in 15 minutes
5x-(3x-6)=18

2(3x-4)=10

2x+7=5x+16

x/3-8=-2

3x – 6 = -12

x/-3=8

Answers

1. 5x-(3x-6)=18
5x-3x+6=18
2x=12
X=6

6. X/-3=8
(-3) x/-3= 8(-3)
X= -24

1. The ratio of boys to girls in the 9th grade is 3 to 4. There are 176 girls. Set up a proportion to model this information.

Answers

Answer:132

Step-by-step explanation:

A survey showed that 4/5 of moviegoers think tickets are too expensive.
What percent of those surveyed think tickets are too expensive?

Answers

Answer:

80%

Step-by-step explanation:

5 times 20 = 100 so with that each 5th is 20% so 4 times 20 is 80

Use the properties of longarithms to expand log(x^3y)

Answers

[tex]\log(x^3y) = \log(x^3) + \log(y) = 3\log(x) + \log(y)[/tex]

if each side of the cube shown above has the same length as the measured side what is the approximate volume of the cube

Answers

Answer:

The measured side is not shown, so i will answer in a general way.

A cube is a 3-dimensional object with 6 square faces.

You know that all the sides of a square have the same length, then is the same for the cube.

To calculate the volume of a cube, we start with the area of the base.

The base is a square of sidelength L (Suppose that L is the length of the measured side)

The area of the base is:

A = L^2.

To find the volume, we must multiply the area of the base by the height of the fire (because the section of the base does not change).

And the height of the cube is also L.

Then the volume is:

V = L*a = L^3

The sugar sweet company is going to transfer its sugar to market. It will cost $4500 to rent trucks, and it will cost an additional $225 for each ton of sugar transported.

Let C Represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S. Then use this equation to find a total cost to transport 14 tons of sugar.

Answers

Answer:

C=$7650

Step-by-step explanation:

Flat fee of 4500

S= 225x

x=14 tons of sugar

4500+225(14)=$7650 (C)

Equation:

C=4500+225(S)

Answer:

Total cost to transport 14 tons of sugar: $7650

Step-by-step explanation:

In the problem we are trying to find, C, the total cost to transport 14 tons of sugar.

$4500 to rent trucks

Additional $225 for each ton of sugar transported

C=4500+225(S)

We have our equation so now when begin to solve.

The problem gives us, S, the number of tons of sugar we are transporting, which is 14 tons.

So if it is an additional $225 for each ton of sugar then we would multiply 225 and 14. Which will look something like this:

C=4500+225(14)

Now we just simplify!

225(14)=3150

C=4500+3150

C=7650

Can you Help me please :/

Answers

Answer:

(2,1)

Step-by-step explanation:

multiply by negative three on the first equation then solve

Answer:

(-2, 1)

Step-by-step explanation:

Given:

2x+8y=4...(1)

6x-y=-13...(2)

You would want to have an x or a y value that equals the same in both equations. In this case, we can multiply equation 1 by 3 so that both x's in each equation equal 6x.

(2x+8y=4) x 3...(1)

6x-y=-13...(2)

becomes...

6x+24y=12...(3)

6x-y=-13...(4)

As you can see here, both x's in this equation are equal.

Now we will be combining these equations together. Take the equal x values and make sure they will equal 0. You do that by either subtracting the entire equation or adding it. In this problem, we will be subtracting it because 6x-6x=0

(6x+24y=12) - (6x-y=-13) = 25y =25

Now that we can solve for y separately, 25y=25   y=1

To solve for x, just substitute y into one of the original equations (equations 1 or 2). For this problem, I'll use equation 1.

6x-y=-13

6x-1=-13

6x=-12

x=-2

(This is what I got for my answer and here is the explanation. I apologize if my answer is incorrect. If someone notices a mistake in my answer, please correct me, thank you and have a nice day!)

Which of the following numbers is irrational?
A)
[tex] \frac{ - 7}{4} [/tex]
B)
[tex] \frac{2}{3} [/tex]
C)
[tex] \sqrt{3} [/tex]
D)
[tex] \sqrt{4} [/tex]

Answers

Answer:

D          

Step-by-step explanation:

C because a and b is a fraction and d is can put 2 into four so it's C
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