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

In ΔXYZ, z = 46 cm, x = 45 cm and ∠Y=81°. Find the length of y, to the nearest centimeter.

Answers

Answer:

If the question is supposed to be solved using the pythagorean thorem, y≈64.35

Answer:

59

Step-by-step explanation:

as Lucia fills her fish tank she notices that it fills 8 cubic centimeters of water in 4 minutes. How many cubic centimeters of water does it fill in 1 minute?

Answers

the correct answer is 2 cubic centimeters

hey what's (5-9)² divided by 2(-4)+(-17)​

Answers

Answer: It's -49

Step-by-step explanation:

:)

What is 17% written as a decimal? Will give brainiest for fastest and correct answer!!!

What is 17% written as a decimal?
a.
0.0017
b.
0.017
c.
0.17
d.
1.7

Answers

Answer:

0.17

Step-by-step explanation:

Answer:

C) 0.17

Step-by-step explanation:

There is an invisible decimal behind the 17 in 17% and you have to move that decimal to the right twice. Which makes 17% become 0.17

If y varies drectly with x
and y= 4.5 when x= 2.5,
what is y when x= 12?

Answers

You have to figure out what the difference is first , so we can se le that the difference between y and x will always be 2, we got this number by subtracting 4.5-2.5=2.
So we are given x which is 12 so in order to solve this you just substitute x with 2 in the next equation 12+x=y/ 12+2=14

There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting at least 1 red?

Answers

Answer:

There are 6+5 marbles.

Of those, 5 are red.

The chances of drawing a red marble are 5/11

Since you replace the marble you drew, the chances each draw remain 5/11

You cannot draw two red marbles without drawing a red marble on your first draw, so the odds of you making a second draw are 5/11. The odds of that also being red are 5/11… but we only care about that 5/11ths the time

5/11*5/11=25/121

NEED TO SKETCH THE GRAPH OF EACH LINE

Answers

Answer:

The first picture is number 4

The second picture is number 5

The last picture is number 3

Step-by-step explanation:

sssssssssssssssssssssssssssssssssssssssssSimplify: 2(2x + 8)

Answers

The answer is 4x^2 + 32x + 64

Answer:

4x+16

Step-by-step explanation:

Use the distributive property

2×2x=4x

2×8=16

Simplified: 4x+16

Hope this helps! :) Plz mark as brainliest

Select all of the angles that have the same measure as angle 1. Assume the lines are parallel.



∠7
can't be determined
∠3
∠2
∠5
∠6
∠8
∠4

Answers

Answer:

3, 8, 6

Step-by-step explanation:

Please correct me if I am wrong!

The angles that have the same measure as angle 1 are ∠3, ∠6 and ∠8.

What is an angle measure?

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

A traversal line cuts two parallel lines.

So, ∠1 = ∠6. {From the property of opposite angles}.

And ∠1 = ∠3. {From the property of alternate interior angles}.

The property of opposite angles,

∠8 = ∠3.

So, the angle measures that are equal to ∠1 are:

∠3, ∠6 and ∠8.

Therefore, ∠3, ∠6 and ∠8 are the equal angle measures.

To learn more about the angle measure;

brainly.com/question/14684647

#SPJ2

Circle each value that is a perfect square.
50
81
289
360
100
75
224

Answers

Answer:

81100289

Step-by-step explanation:

Hope this helps! <3
81
289
100


Is correct sleekness

Please explain this!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

SCORATIC THE APP WILL GIVE YOU ALL ANSWERS

Step-by-step explanation:

Which equation represents the line shown on the graph?
A- y=-2x
B- y=x+2
C- y= -x+2
D- y=2x

Answers

B- y=-x+2 most likely to be the answer

Answer:

B- y=-x+2

Step-by-step explanation:

I did this before

help me and the 1st 2 answer will get brainliest and i need asap im in the test

Answers

Answer:

C

Step-by-step explanation:

C

Answer:   yea it is c

Step-by-step explanation:

Find the diameter of the semicircle whose area is 1232 cm2​

Answers

Area of semicircle =

[tex] \frac{ {\pi \: r}^{2}}{2} [/tex]

Area of the given semicircle = 1232 cm^2

[tex] \frac{ {\pi \: r}^{2}}{2} = 1232 \\ = > {\pi \: r}^{2} =( 1232 \times 2) \\ = > \frac{22}{7} {r}^{2} = 2464 \\ = > {r}^{2} = ( \frac{2464 \times 7}{22} ) \\ = > {r}^{2} = 784 \\ = > r = \sqrt{784} \\ = > r = 28cm[/tex]

[tex]d = r \times 2 \\ d = (28 \times 2 )cm\\ d = 56cm[/tex]

Hence, the diameter of the circle is 56cm

I’m u sure on this one

If 225 widgets were produced in 2.2 hours what is the hourly production rate

Answers

Answer: The hourly production rate is about 102.3 widgets per hour

Step-by-step explanation:

1.) divide 225 by 2.2, which gives you 102.2727

2.) round to the nearest tenth

Write the point-slope form of the given line that passes through the points (-4, -1) and (3, -3). Identify (x1, y1) as (-4, -1).Include your work in your final answer. Type your answer in the box provided to submit your solution.

Answers

Answer:

y+1=-2/7(x+4)

Step-by-step explanation:

Found the slope first then plugged in the numbers

A magician charges parties a $30 fee to cover travel and miscellaneous expenses plus $19.99 per hour. What an equation for that?

Answers

Answer:

30 + 19.99 per hour

Step-by-step explanation:

ADD THEM IN A EQUATION.

SO SIMPLE TO DO THAT!

Answer:

Step-by-step explanation:30+19.99x

What are the x- and y-intercepts of the graph of. PLEASE HELP!

Answers

Answer:

Answer is B

Step-by-step explanation:

The answer is the second one

1. What is the solution to(3x - 10x + 5 = 5x + 172
Record your answer and fill in the bubbles on the grid below. Be sure to use the correct
place value
OOOOOOOOOO
OOOOOO
OOOOO
2. Rectangle ABCD has a length represented by the expression 2x = 3 and a width
represented by the expression 4x + 5 Rectangle PORS has a length represented by
the expression - 1 and a width represented by the expression 3X Which of the
following expressions can be used to represent the difference in the perimeters of
Rectangle ABCD and Rectangle PORS?
A.
2x + 1
B. 4x + 2
C. 20x + 6
D. 4x + 6

helpppppppp!!!

Answers

Answer:

16 its not true trust

Step-by-step explanation:

Answer:

bhhk

Step-by-step explanation:

drdytkbk

Here is a riddle:
I am thinking of two numbers that add up to 5.678.
The difference between them is 9.876.
What are the two numbers?

Answers

Answer:

[tex]the \: two\: numbes \: are : \\ 7.777 \: and \: - 2.099[/tex]

Step-by-step explanation:

[tex]let \: the \: two \: numbers \: be : x \: and \: y \\ x + y = 5.678.....eq(1) \\ x - y = 9.876 .....eq(2)\\ x = 9.876 + y....from \: eq(2) \\ y = 5.678 - x....frm \: eq(1) \\ eq \:...y \: in \: terms \: o f\: x : \\ x = 9.876 + 5.678 - x \\ 2x = 15.554 \\ x = 7.777 \\ y = 5.678 - x = y = 5.678 - 7.777 \\ y= - 2.099.[/tex]

The area of a square garden is 49 ft^2. How long is each side of the​ garden?

Answers

Answer:

7

Step-by-step explanation:

Answer:

I think the answer is 7.

Step-by-step explanation:


Use the Pythagorean theorem to find each missing length to the nearest tenth

Answers

answer: 10.4

explanation: a^2 + b^2 = c^2
plug in 3 for a and 10 for b
3^2 + 10^2 =c^2
simplify to get
109 =c^2
take the square root of both sides
c = sqrt109 or 10.44030651

Answer:

c (the hypotenuse) = 10.4 units

Step-by-step explanation:

Start off by rearranging the original pythangorean theorem (a^2+b^2=c^2) by taking the square root of both sides so it is in the form of a distance formula solving for c(the hypotenuse).

c^2 will become |c| as length cannot be negative so (labeling an absolute value is negligible)

a^2+b^2 = c^2

c^2 = a^2+b^2

√(c^2) = √(a^2+b^2)

c = √(a^2+b^2)

Then substitute the given lengths, in this scenario, sides a and b.

After you substitute, just simplify.

c = √(3^2+10^2) = √(9+100) = √109 ≈ 10.4 units (nearest tenth)


Convert the following equation into
slope-intercept form
4x - 6y = 42

Answers

Answer:

y=2/3x -7

Step-by-step explanation:

4x -6y=42

-4x     = -4x +42

     -6y= -4x + 42

      -6     -6     -6      divide both sides by -6

        y= 4/6x -7           simplify

        y= 2/3x -7

             

Which is not a prime number? A. 31 B. 47 C. 49 D. 53

Answers

Answer:

49 is not a prime number

Step-by-step explanation:

7 times 7 = 49

Answer:

C) 49

Step-by-step explanation:

Prime numbers are numbers that can only be factored into 1 and it's own number.

In the case of 49, it is a composite number.

Factors of 49: 1 , 7 , 49

1 x 49 = 49

7 x 7 = 49

49 x 1 = 49

~

Decrease $820 by 32%​

Answers

Answer:

557.6

Step-by-step explanation:

Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

32% = 32/100 = 32 ÷ 100 = 0.32.

100% = 100/100 = 100 ÷ 100 = 1.

Percentage decrease = 32% × 820

New value =

820 - Percentage decrease =

820 - (32% × 820) =

820 - 32% × 820 =

(1 - 32%) × 820 =

(100% - 32%) × 820 =

68% × 820 =

68 ÷ 100 × 820 =

68 × 820 ÷ 100 =

55,760 ÷ 100 =

557.6

Answer:

32/100 × 820

council the zeros

32/10 × 82

32× 82/10

2624/10

= 262.4

Step-by-step explanation:

there's ur answer

what is 5280 divided by 60

Answers

Answer:

88

Step-by-step explanation:

i used a calculator :)

1. Represent the following system with a matrix
-2x + 4y + z = 0
-X + 3y = 0
5x + y + 9z = 8
2. What linear system of equations does this matrix represent?
6 -1 112
-1 10
3. What is the solution of this system of equations? Use your calculator.
3a + 2b - C = 7
2a - C = 5
A-4b+c=.4
4. You manage a health food store and budget $80 to buy ingredients to make 30 pounds
of trail mix. Peanuts cost $2.50 per pound, raisins cost $2.00 per pound, and granola
costs $4.00 per pound. If you use twice as many pounds of peanuts as raisins, how
many pounds of each ingredient should you buy? Show as much work as necessary.
You will not get any credit for just writing answers.

Answers

Answer:why is it show glitchy

Step-by-step explanation:

help with this !!! thanks

Answers

Answer:  Casey bought 4 1/2 pounds of apples

The equation is 0.88x - $1.50 = 2.46

x is the unknown number of pounds of apples.

0.88 is the cost per pound,  0.88x is the total cost of the apples before the discount .The discount is $1.50   $2.46 is the cost after the discount.

Part b Step-by-step explanation:

0.88x - $1.50 = 2.46 . Add $1.50 to both sides

0.88x - $1.50 + $1.50 = 2.46 + 1.50  

On left, 1.50-1.50=0 so "cancels'  on the right, add $2.46 + 1.50 = 3.96

0.88x = 3.96  is the cost before discount . Divide both sides by .88

.88x/.88 = 3.96/.88 .  .88/.88 = 1 so 1 'cancels'  leaving x.   3.96/.88 = 4.5

x = 4.5

part c

4.5 is 4 1/2, the (previously unknown) number of pounds of apples.

Casey bought 4 1/2 pounds of apples.

10.50 divided by 2.5 = 4. The decimal in 2.5 is moved one space to the right. The decimal in 10.50 is moved 1 space to the right.
Yen paid $10.50 for 2.5 pounds of pretzels. What price did she pay for each pound of pretzels?

After dividing 25 into 105, the next step is to
25 by 4.
The next step is to
100 from 105.
The next step is to
the next number.
ill give brainliest

Answers

Answer:

Multiply, Subtract and bring down

Step-by-step explanation:

i took ed ofccc

Find the slope of the line through (6, -7) and (4, -8)

Answers

Answer:

1/2

Step-by-step explanation:

Y2-y1

________

X2-x1

-7 - (-8) = 1

6-4=2

Slope is 1/2

The slope of the line through (6, -7) and (4, -8)

What is the slope?

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.

Given;

Two points; (6, -7) and (4, -8)

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m=(-8-(-7))/(4-6)

m=(-1)/-2

m=1/2

Therefore, the slope between the two given points will be1/2

Learn more about slope here:

https://brainly.com/question/2503591

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