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


6. Write the if-then form, the converse, the inverse, and the contrapositive of the statement “An angle whose measure is 34° is an acute angle."

Answers

Answer:

4

Step-by-step explanation:

4

this one is also for trustmeiamsmrt

Answers

Answer:

The thing is I don't know if like is will put fractions or decimals so I guess try both if u can if not I would go for decimals first because that is more probable.

Midpoint of some points

AB midpoint = -1,1.5

BC midpoint = -2.5,2

CA midpoint = -2.5,1.5

Midpoint of DE = -3,0

Midpoint of FG = 3,-1

Sorry that it took some time

A truck can be rented from Company A for ​$90 a day plus ​$0.20 per mile. Company B charges ​$30 a day plus ​$0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

Answer:  150 miles

Step-by-step explanation:

Let A stand for Company A's Total Price, and B for Company B.  Let x be the number of miles driven.

A = $90 + ($0.20/mile)*x

B = $30 + ($0.60/mile)*x

We want to know for what x does A = B

$90 + ($0.20/mile)*x = $30 + ($0.60/mile)*x

$60 + ($0.20/mile)*x - ($0.60/mile)*x = 0

$60 + x*($0.20/mile) - ($0.60/mile)) = 0

$60 + x*(- ($0.40/mile)) = 0

x*(- ($0.40/mile)) = -$60

x = -$60/(-$0.40/mile)

x = 150 miles

Company A, 1 day, 150 miles = $120

Company B, 1 day, 150 miles = $120

At 150 miles, and just 1 day, both companies will charge a total of $120 for the rental.

The parent function of a quadratic equation is vertically
stretched by a factor of 2, then translated 5 units to the
right and 1 unit down. Write the equation of the new
function.

Answers

Answer:

2-15-21

Step-by-step explanation:

that

Mr. Webster is buying carpet for an exercise room in his basement. The room will have an area of 230 square feet. The width of the room with have 12&1/2 feet. What is the length?

PLEASE DO NOT JUST GIVE THE ANSWER, (I could have done that myself) PLEASE SHOW WORK ON HOW YOU GOT THE ANSWER.

Thanks!

Answers

Answer: 18.4 ft

Step-by-step explanation:

Area= L x W

230= 12.5 x L (Divide both sides by 12.5 to get L)

L= 18.4 ft

Answer:

The length of the room is 18 2/5 feet.

Step-by-step explanation:

The formula for finding the area of rectangles is A = l · w

Since the area and width is given to you, we can substitute that in the formula:

230 = l · 12 1/2

Now we convert the 12 1/2 to an improper fraction so it is easier to solve.

Here's how you convert a mixed number to an improper fraction:

12 · 2 = 24

24 + 1 = 25

and put 25 over the original denominator

     = 25/2

Now you can add that to the equation...

l · 25/2 = 230 (I put 230 on the right side because that is how I am used to solving equations, but you can leave it on the right side as well. It is up to you)

To get rid of fractions, multiply by the reciprocal (Basically you flip the fraction so that the numerator becomes the denominator and the denominator becomes the numerator) on both sides

25/2 · 2/25 cancels itself out

   and

230/1 · 2/25...

   230 · 2 = 460

   1  · 25 = 25

So you would get 460/25

Thus, we end up with:

l = 460/25

Divide 460 by 25 and you get 18.4...

Technically 18.4 is the answer but in decimal form.

If you want it in fraction form, just take 0.4 and put it over 10 because 0.4 is in the tenths place. 4/10 simplifies down to 2/5...

Therefore, the answer is 18 2/5 feet.

I hope this is helpful! Let me know if you have any further questions :D

denzel has $13.50 and saves an additional $7.50 each week

Answers

Answer:

y = $7.50x + $13.50

Step-by-step explanation:

I need the whole question, but I am guessing you need the equation above

Have a nice day! :-)

Answer:

$21.00

Step-by-step explanation:

$13.50+$7.50=$21.00

Which explains the number of decimal places in the product 0 . 42 × 3 . 8 × 10 . 51 ? A. The greatest number of decimal places in any of the factors is 1. So, the product will have 1 decimal place. B. The greatest number of decimal places in any of the factors is 2. So, the product will have 2 decimal places. C. There are a total of 4 decimal places in the factors. So, the product will have 4 decimal places. D. There are a total of 5 decimal places in the factors. So, the product will have 5 decimal places.

Answers

Answer:

D

Step-by-step explanation:

if you place the decimals ontop of each other like this

0.42

3.8

10.51

and count the numbers behind the decimal of each decimal which is

4, 2, 8, 3, 1

meaning that your decimal place would be 5 places to the left of your answer when you multiply

Answer:

D

Step-by-step explanation:

here are a total of 5 decimal places in the factors. So, the product will have 5 decimal places.

Please help me!!! Will give brainliest!​

Answers

Answer:   x  = 40

Step-by-step explanation:

3x° + 36° = 156°        (since alternate interior angles are equal)

        3x°  = 120 °

           x  = 40

What is this expression in simplest form?
x²+x-2/x³-x²+2x-2

Answers

Answer:

Simplified to lowest possible would be [tex]\frac{x +2}{x^{2} + 2}[/tex]

Step-by-step explanation:

1.) Identify the triangle congruence postulate or theorem (SSS, SAS, ASA, AAS, or HL) that proves the
triangles are congruent. If the triangles are not congruent, state not congruent.
HINT: label the corresponding congruent parts in just one of the triangles.
(6 total points: 1 point for each correct congruence postulate)
PLEASE NEED HELP ASAP!!

Answers

Two triangles are congruent if they meet they both meet the rules for congruency

The rules that makes the given triangles congruency are;

a) SSS

(b) SAS

(c) ASA

(d) Not congruent

(e) AAS

(f) HL

Reasons:

(a) Segment QS ≅ Segment QR; Same number of tic marks indicating congruency

Segment SP ≅ Segment PR; Same number of tic marks indicating congruency

Segment QP ≅ Segment QP; Reflexive property

Therefore;

ΔPQS ≅ ΔPQR by Side-Side-Side, SSS, rule of congruency

(b) Segments AC, BC, on ΔABC ≅  Segments CD, CE, on ΔCDE Given

m∠DCE ≅ m∠ACB; Vertically opposite angles postulate

Therefore;

ΔABC ≅ ΔDEC by Side-Angle-Side SAS, rule of congruency

(c) Segment ST ≅ Segment TU; Given

m∠RST = m∠VUT = 90°; Given

∠VTU = ∠RTS; By vertical angle theorem

Therefore;

ΔRTS ≅ ΔUTV by Angle-Side-Angle, ASA, rule of congruency

(d) Not congruent because given parameter Side Side Angle not a condition for congruency

Not congruent

(e) ∠GHJ ≅ ∠GFJ; Given

∠HJG ≅ ∠JGF; Given

Segment GJ ≅ Segment GJ; By reflexive property

Therefore;

ΔGFJ ≅ ΔGJH; By Angle-Angle-Side, AAS similarity rule

(f) Hypotenuse AB ≅ Hypotenuse DE; Given

Leg AC ≅ Leg DF; Given

Therefore;

ΔABC ≅ ΔDFE; by Hypotenuse Leg, HL, rule of congruency

Learn more here:

https://brainly.com/question/21301647

What is 278 minus 149

Answers

Answer:

129

Step-by-step explanation:

278 - 149 = 129

Answer:

the answer is 129

Step-by-step explanation:

278-149=129

A house cleaning company charges a constant rate for each hour of cleaning. They charge $135 for 3 hours of cleaning.
Number of hours cleaning
Amount charged for cleaning (in dollars)
3
$135
18


How much would the company charge for 18 hours of cleaning?

$675


$810


$2,430


$45

Answers

Answer: $810 (B)

Step-by-step explanation: first youd need to find how much they pay for 1 hour. In this case, itd be 135/3 = 45. now multiply by 18 (because 1 hr x 18 = 18 hrs). this would get you to 810.

Option b $810
135/3 = 45
45 x 18 = $810

Simplify 6 to the 3rd power

Answers

Answer:

216

Step-by-step explanation:

6 · 6 · 6 = 216

Hope this helped. A brainliest would be very much appreciated. (I need 5 brainliest so I can level up) :)

Answer:

2 √ 3 or 3.46410161

Step-by-step explanation:

I don't know math I just look it up tbh. Hope it helps ya though.

Helpp! Multiply :-19x(x+11)

Answers

Answer:

-19x (x+11) = -19[tex]x^{2}[/tex] - 209

3x - 2y = 8
2x + 2y = -8

Answers

Answer:

(0, - 4 )

Step-by-step explanation:

3x - 2y = 8 → (1)

2x + 2y = - 8 → (2)

Adding (1) and (2) term by term will eliminate the y- term

5x + 0 = 0

5x = 0 , then

x = 0

Substitute x = 0 into either of the 2 equations and solve for y

Substituting into (2)

2(0) + 2y = - 8

0 + 2y = - 8

2y = - 8 ( divide both sides by 2 )

y = - 4

solution is (0, - 4 )

1. y=3/2x-4
2. y=-1x-4
Hope this helps :)

answer po plss plss plss

Answers

Answer:

additive identity property (a)

Step-by-step explanation:

the answer to this question would be A, i’ve done this before.

In 2016, George Washington's birthday fell on Friday, February 12. On what day of the week does Lincoln's birthday fall in 2025?

Need solution thanks​

Answers

Wednesday

If you use a calender, it falls on a wednasday

A line passes through the points (0, –5) and (8, –10). What is its equation in slope-intercept form?

Answers

Answer:

y=-[tex]\frac{5}{8}[/tex]x-5

Step-by-step explanation:

Start with the slope equation [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex].

[tex]\frac{-10-(-5)}{8-0}=\frac{-5}{8}[/tex]

This is the slope of your equation

Now rearrange the slope-intercept equation to get your y-intercept

y=mx+b

y-mx=b

Now substitute either of your two points to find your y-intercept

-10-(-[tex]\frac{5}{8}[/tex](8))=b

-10-(-5)=b

-10+5=b

b=-5

Now that you have slope and the y-intercept you can write your equation:

y=-[tex]\frac{5}{8}[/tex]x-5

What is 63.7465 rounded to the nearest hundredth im in 1 grade btw

Answers

Answer:

63.75

Step-by-step explanation:

Hundredth is the second digit after the decimal so use the third digit to round the second.

If the digit you are using to round is [tex]\leq[/tex]4 then round down.

If the digit you are using to round is [tex]\geq[/tex]5 then round up.

HELP PLS FOR 100 POINTS PLS

Answers

Answer:

eef the points thanks man

thanks

Step-by-step explanation:

Answer:

Answer:

eef the points thanks man

thanks

Step-by-step explanation:

Step-by-step explanation:

What a 3 digit number that is divisible by both 3 and 4

Answers

120 can be divisible by 3 and 4

How would you write 0.1 bar as a fraction

Answers

Answer:

1/10

Step-by-step explanation:

Divide 1 by 0.1, which equals 10

10 becomes your denominator, and 1 is the numerator

Since 1/10 = 0.1*10 = 1

2 candy bars cost $0.98. At this rate, how much do 5 candy bars cost? The total cost for five candy bars is?

Answers

Answer:

$2.45

Step-by-step explanation:

First divide the cost by number of items. you shall get $0.49

Now multiply the cost of 1 candy bar into 5 and you shall get $2.45.

Simplify the expression:
V - 5v - 5v + 9v

Answers

Answer:

0

Step-by-step explanation:

[tex]v - 5v - 5v + 9v \\ - 4v - 5v + 9v \\ - 9v + 9v \\ 0[/tex]

help im almost finished

Answers

59aaaaaaaaaaaaaaaaaa

5x + 1 = 3x + 7

use the model to solve for X.

Answers

Answer:

X=3

Step-by-step explanation:

First you subtract 3x from both sides to keep x on one side.

5x minus 3x is 2x.

Then you subtract 1 from both sides to keep the variable alone.

7 minus 1 is 6.

Then you divided both sides by 2.

2x divided by 2 is x and 6 divided by 2 is three.

Then all you have left is x=3

I HOPE IT WILL HELP YOU.

Thank you.

Airfare from Atlanta, GA to Nashville,TN was decreased from $250 to $180. By what percentage did the cost of the airfare change?

Answers

Answer:A decrease of 28%

Step-by-step explanation: the question says decreased so you can mark out A and B then 250-180 is 70, 70% of 250 is 28%

The percentage is the indicating hundredth thus the percentage change from $250 to $180 is 28%.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

As per the given question,

Initial price of Airfare = $250

Final price of Airfare = $180

The percentage = change/initial  ×  100

Percentage decrease = (250 - 180)/250  × 100

⇒ 0.28 × 100 = 28%

Hence "The percentage is the indicating hundredth thus the percentage change from $250 to $180 is 28%".

For more about the percentage,

brainly.com/question/13450942

#SPJ2

Emilio compra 3,6 kg de manzanas a 1,45 euros el kilo ¿Cuánto pagara por las manzanas?

Answers

Answer:

Emilio compra kg De manzanas a euros el kilo cuanto pagara por Las manzanas

Answer:

emilio compra de manzanas a euros el kilo cuanta pagara por las manzanas

Multiply. 893 × 578 = 516,145 561,154 516,154 516,144

Answers

Answer:

516,154 here you goooooooooooi

Answer:

c) 516154

Step-by-step explanation:

Q) 893 × 578 = ?

→ 893 × 578

→ 516154 is the answer.

what is 1 + 1 guys i need help

Answers

I know this is a joke but agh at least I get some points ANSWER: 11

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