A Rabbit can hop 6 feet in 2 seconds and 12 feet in 4 seconds. If the number of feet varies directly with the time the rabbit spends hopping, at what speed is the rabbit hopping? (Hint: finds the constant of variation)

2. Write a direct variation equation for problem number 1.

(Please show your work.)

Answers

Answer 1

Step-by-step explanation:

1. The rabbit would be hopping at 3 feet per second.

You would first:

1. Divide each sides by 2

This would result into 3 = 1.

2. Given, 6 = 2.

If we said feet (6) = x and 2 (seconds) = y,

x = y or

feet = second (6 = 2).


Related Questions

suppose denzel's score is 25, give one score that could possibly be bianca's score in the test​

Answers

Answer:

3

Step-by-step explanation:

plsssssss help no nonsense pls
Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2.4 h, and Car B traveled the distance in 4 h. Car A traveled 22 mph faster than Car B.

How fast did Car A travel?

(The formula R⋅T=D , where R is the rate of speed, T is the time, and D is the distance can be used.)

Enter your answer in the box.

Answers

Answer:

We let x the distance traveled by Car A and y the distance traveled by car B. The speed of car A can be represented as x/2.4 and for Car B is y/4. From the statement given, we can write an equation relating the speed of both cars.

x/2.4 = 22 + y/4

Since y = x, then:

x/2.4 = 22 + x/4

Solving for x, we obtain:

x= 132 meters traveled by both cars

Therefore, Car A has a speed of 55 mph.

Step-by-step explanation:

Answer:

Step-by-step explanation:

x/2.4 = 22 + y/4

Since y = x, then:

x/2.4 = 22 + x/4

x= 132 meters traveled by both cars

Therefore, Car A has a speed of 55 mph.

what is
[tex]8x10 {}^{6} [/tex]
what is the equal to ​

Answers

8000000. When doing exponents multiply the number the amount of times the small says, so for this question 6 times. 10x10x10x10x10x10= 1000000. Then multiply that by 8, 1000000x8= 8000000. I hope this helps :)

Show that the two triangles ABC and DEF are congruent by the
HL theorem.

Answers

Since hypotenuses and legs have the same length, then both are congruent and thus, triangles ABC and DEF are congruent.

The Hypotenuse-Leg theorem states that two right triangles are congruent if and only if their hypotenuses and any of their corresponding legs are congruent. That is to say:

[tex]\overline {AC} \cong \overline {DF}[/tex], [tex]\overline{BC} \cong \overline {EF}[/tex]

[tex]AC = DF, BC = EF[/tex]

[tex]\sqrt{AB^{2}+BC^{2}} = \sqrt{DE^{2}+EF^{2}}[/tex], [tex]BC = EF[/tex]

If we know that [tex]AB = 10[/tex], [tex]BC = 4[/tex], [tex]DE = 10[/tex] and [tex]EF = 4[/tex], then we have the following outcomes:

[tex]\sqrt{10^{2}+4^{2}} = \sqrt{10^{2}+4^{2}}[/tex]

[tex]4 = 4[/tex]

Since hypotenuses and legs have the same length, then both are congruent and thus, triangles ABC and DEF are congruent.

We kindly invite to check this question on triangles: https://brainly.com/question/21972776

Help pleaseeeeeeeeee

Answers

I think the answer is B

Which ordered pair is a solution to the following:
Y= -2x + 5
Choose 1 answer:
A: Only (2,-9)
B: Only (-2,9)
C: both
D: neither

Answers

Answer:

Option B: Only (-2, 9)

Step-by-step explanation:

Given the linear equation, y = -2x + 5:

We'll plug in the given options to see which of the ordered pairs will satisfy the equation:

Substitute option  A: (2, -9) into the equation:

y = -2x + 5

-9 = -2(2) + 5

-9 = -4 + 5

-9 = 1 (False statement). Therefore, (2, -9) is not a solution.

Substitute option B: (-2, 9) into the equation:

y = -2x + 5

9 = -2(-2) + 5

9 = 4 + 5

9 = 9 (True statement). Therefore, the ordered pair, (-2, 9) is a solution.

The other two options are irrelevant at this point since we've proven that option B is the correct answer.

Please mark my answers as the Brainliest if you find my explanations helpful :)

What is the lowest common multiple of 14, 28, and 84?
Explain

help

Answers

Answer:

308

Step-by-step explanation:

first you divide all three numbers by the smallest counting number,in this case, it is a '2' . keep on dividing with other numbers until when you reach a point where the remainder is indivisible, that is to say numbers like 7,11,5 etc.

At HD Sport & Fitness gym, analysis shows that, as the demand of the gym, the number of members is 83 when annual membership fee is $17 per member and the number of members is 81 when annual membership fee is $24 per member. As the operator of the gym, you found out that number of members (q) and membership fee (p) have a linear relationship.

A) At what membership price, p, is the revenue maximized?
p=$??. Round your answer to 2 decimal places.

B) What is the maximum annual revenue?
R=$??. Round your answer to 2 decimal places.

Note: Round all coefficients of your revenue function to 2 decimal places.

Answers

The price at which revenue is maximized is $ 157, and maximum annual revenue is $ 6751.

Since at HD Sport & Fitness gym, analysis shows that, as the demand of the gym, the number of members is 83 when annual membership fee is $ 17 per member and the number of members is 81 when annual membership fee is $ 24 per member, and the number of members and membership fee have a linear relationship, to determine at what membership price is the maximized revenue, and what is the maximum annual revenue, the following calculations must be performed:

17 x 83 = 1411 24 x 81 = 1944 31 x 79 = 2449 38 x 77 = 2926 66 x 69 = 4554 73 x 67 = 4891 80 x 65 = 5200 94 x 61 = 5734 101 x 59 = 5959 122 x 53 = 6466 129 x 51 = 6579 150 x 45 = 6750 157 x 43 = 6751 164 x 41 = 6724

Therefore, the price at which revenue is maximized is $ 157, and maximum annual revenue is $ 6751.

Learn more in https://brainly.com/question/11663530

Helpppp??? Plzzzz???

Answers

yes what do u need help in??!!

Find the slope of the line

Answers

Answer:

Slope = 3

Step-by-step explanation:

(2, 0)

(0, -6)

(-6-0)/(0-2) = -6/-2 = 3 = m

You invested a total of $8000 in 2 funds earning 7% and 9% simple interest. During 1 year,
the 2 funds earned a total of $600 in interest. How much did you invest in each fund?

Answers

Answer 200 for 9 and 125 for 7

Step-by-step explanation:

Answer:$17,000 invested into the 8% fund

$8,000 invested into the 8.5% fund

Step-by-step explanation:

8 x y =369 y = ?

y x 9 = 63 y = 6 + y =?

Answers

Answer:

1. 46.125

Step-by-step explanation: Is your second one in the right format? I don't understand what it is asking.  For the first one, however, you need to free the y being multiplied to 8 and so you are going to undo it by dividing 369 by 8.

3 plus four times a number.

Answers

Answer:

3 + 4x

Step-by-step explanation:

Let "a number" be x.

Therefore "four times a number" is 4 multiplied by x which is 4x.

Now add 3 for "3 plus".

3 + 4x

Answer:

Our equation would be: 3 + 4x.

Let's say x=8

That would now make our equation:

3 + 4(8) =

Step-by-step explanation:

But let's solve this equation :)

First, we would add 3+4, to get 7.

Then, we would multiply the 7 by 8.

Lastly, we know 7 x 8 = 56

So, 3+4(8)= 56

But we could also create a function statement out of this.

Our statement for this equation would be:

When x equals 8 the answer or in algebraic terms the "output" is 56.

,  Hope this helps :)

Have a great day!!

9(b - 1) = 63
what is b? show your work will give brainlyiest

Answers

The answer is b=8 I hope it helps you should download photos math

Find the y- intercept of the function represented by the graph?

Answers

Answer:

3 cause that's where the line is touching the y axis

Step-by-step explanation:

3. Which ordered pair is a solution of the equation y = x - 4? (1 point)
O (2,6)
O (6,2)
O(-2, 6)
O(-6, 2)

Answers

Answer:

Question 3: (6,2)

Question 4: (-1,-4)

Step-by-step explanation:

Look above to see each graphed⤴⤴⤴

Hope this helped :)

Graph the line that passes through the points (-5, 3) and (−1,−1) and determine the equation of the line.

Answers

A line can be drawn by joining the plot of the two given points

Please find attached the graph of the line created with MS ExcelThe equation of the line is y = -x - 2

Reason:

Given points on the line are (-5, 3) and (-1, -1)

From the given points, the graph of the line can be plotted with MS Excel

The slope, m, of the line is given as follows

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, we have;

[tex]Slope, \, m =\dfrac{-1 - 3}{-1 - (-5)} = \dfrac{-4}{4} = -1[/tex]

The equation of the line in point and slope form is therefore;

y - 3 = -1·(x - (-5) = -x - 5

In slope and intercept form, we have;

y = -x - 5 + 3 = -x - 2

The equation of the line in  slope and intercept form is y = -x - 2

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https://brainly.com/question/2088114

An equation is given.




y=3x+cy=3x+c


​Create an equivalent equation by solving for x in terms of y and c.

x=

Answers

Answer:

Step-by-step explanation:

123

what is the estimate of 19,369

Answers

Answer:

19,500

Step-by-step explanation:

This is probably a good one.

Help solve ONLY 8 AND 9 plz
plz answer this question

Answers

Answer:

x=26.8

Step-by-step explanation:

Perry, Maria, and Lorna are painting rooms in a college dormitory. Working alone, Perry can paint a standard room in 3 hours, Maria can paint a standard room in 2 hours, and Lorna can paint a standard room in 2 hours 30 minutes. Perry, Maria, and Lorna have decided that, to speed up the work, 2 of them will paint a standard room together. Select the value closest to the shortest time in which a 2-person team could paint a standard room, and select the value closest to the longest time in which a 2-person team could paint a standard room, with each person working at his or her respective rate. Make only two selections, one in each column.

Shortest time Longest time
49 minutes
1 hour 7 minutes
1 hour 12 minutes
1 hour 14 minutes
1 hour 22 minutes
1 hour 45 minutes

Answers

Answer:

1hour and 14 minutes

Step-by-step explanation:

maria and lorna 2 divdide by 2 is 1 and 30 - 16 is 14

Which statements about the graphs of y = 1/2sin x and y = 1/2sin(x - π /2) are true?
Select all that apply.
A) The graph of y = sin(x - π/2) is shifted units π /2 units left from the graph of y=1/2sin x.
B) The graph of y = 1/2sin(x - π/2) is shifted units π /2 right from the graph of
y = 1/2 sin x.
C)The period of y=1/2sin(x - π/2) is π/2, and the period of y = 1/2sin x is 2 π.
D)The amplitude of y = 1/2sin(x - π/2) is half the amplitude of y = 1/2 sin x.
E)The amplitude of y=1/2 sin(x - π/2) is the same as the amplitude of y = 1/2 sin x.

Answers

The answer is b.

Subtracting pi/2 to the x value shifts it towards the right. (It’s basically the opposite of the number line, negatives=right positives=left)

The correct answer is option B) The graph of y = 1/2sin(x - π/2) is shifted units π /2 right from the graph of y = 1/2 sin x.

How do you describe a graph?

For most graphs, give a brief description including the title and axis labels, and mention trends not already described in the text. For simple charts, state the actual data points. For more complex charts, an ideal description would include the data in a table or list.

Learn more about graphs here: brainly.com/question/14323743

#SPJ2

Some more help please I need it

Answers

i dont know

Step-by-step explanation:

I JUST NEED THW POINTS

The ____ of the ratio of two proportional qualities?

Answers

Answer:

2

Step-by-step explanation:

its 2

One number is 7 more than another. If the sum of the two numbers is 165, find the two numbers.

The smaller number is

The larger number is 1

Answers

x+7+x=165

2x+7=165

2x+7-7=165-7

2x=158

2x÷2=158÷2

x=79

79+7+79=165

m
An African bull elephant has a mass of about 5,5 x 10 grams. A flea has a mass of about 10 x 10 grams. Which statement is true?
O A The mass of the elephant is about 55,000,000 times greater than the mass of the flea.
OB. The mass of the elephant is about 550,000 times greater than the mass of the flea.
O c The mass of the elephant is about 55,000 times greater than the mass of the flea.
OD The mass of the elephant is about 5,500,000 times greater than the mass of the flea.

Answers

Answer:

Aaaaaaaaa

ʕ•ﻌ•ʔʕ•ﻌ•ʔʕ•ﻌ•ʔʕ•ﻌ•ʔʕ•ﻌ•ʔʕ•ﻌ•ʔʕ•ﻌ•ʔʕ•ﻌ•ʔ

Which of the following functions best describes this graph?
10

Answers

Answer:

A

Step-by-step explanation:

vertex = (-4, -4)

vertex form:

y = a(x-h)^2 + k

__________

y = (x- (-4))^2 + (-4)

y = (x+4)^2 -4

y = (x+4)(x+4) - 4

y = x^2 + 8x + 16 - 4

y = x^2 + 8x  + 12

answer: A

Answer using the steps: the 1st and 2nd term of a certain geometric sequence are 10 and -5 respectively. what is the 5th term of the geometric sequence

Answers

Answer:

hgnatvaveBfsbztntsrqbrahrahrah

1/2/-9/5 reduce and express as a simplified fraction

Answers

Answer:

um I'm not sure exactly what you wrote are you asking 1/2 divided by negative 9/5?

if so your answer will be negative 5/18

HELPPP THIS IS DUE SOON...actually its late BUT STILL HELP

Answers

Answer: 100 99/100

Step-by-step explanation: add the 1/2 and 1/5 together by finding a common denominator(10). 1/2 would become 5/10 and 1/5 would become 2/10. 2/10 + 5/10 =7/10. now we're left with (7/10)^2 +3/10 x 5

to do (7/10)^2 you square the top and bottom to give you 49/100.

next we'll do 3/10 x 5 which would equal 15/10. so now all we have left to do is add 49/100 and 15/10. to do this we'll find a common denominator of 100. so well multiply the top and bottom by 10 to give you 150/100.

finally, 49/100 + 150/100 = 199/100 or as a mixed number, 100 99/100

Answer:

1[tex]\frac{99}{100}[/tex]

Step-by-step explanation:

I would start by turning the parentheses fractions into one fraction.

You could do binomial multiplication and get [tex]a^{2} +2ab+b^{2}[/tex] but it might take longer.

So I would just turn them into one fraction by finding the common denominator.

The common denominator here is 10

[tex]\frac{1}{5} (\frac{2}{2} )=\frac{2}{10}[/tex]

[tex]\frac{1}{2} (\frac{5}{5} )=\frac{5}{10}[/tex]

Now add

[tex]\frac{2}{10} +\frac{5}{10} =\frac{7}{10}[/tex]

Now apply: [tex](\frac{a}{b} )^{2} =\frac{a^{2} }{b^{2} }[/tex]

[tex](\frac{7}{10} )^{2} =\frac{7^{2} }{10^{2} } =\frac{49}{100}[/tex]

Now, multiplying the other fraction we get [tex]\frac{3}{10} (5)=\frac{15}{10}[/tex]

Now turn this into a fraction with denominator 100 to add the two fractions

[tex]\frac{15}{10} (\frac{10}{10} )=\frac{150}{100}[/tex]

[tex]\frac{49}{100} +\frac{150}{100} =\frac{199}{100} =1\frac{99}{100}[/tex]

There is also another method to add or subtract fractions without multiplying to get a common denominator in case you are interested:

[tex]\frac{a}{b}[/tex]±[tex]\frac{c}{d}[/tex]=[tex]\frac{ad+bc}{bd}[/tex]

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