an ant has fallen into a bottle 60cm deep and is climbing up 8 cm everyday. As it is exhausted, the ant is slipping down 4cm every night. Then how long would it take teh ant to escape from the bottle

Answers

Answer 1

Answer:

It took 13 days and a half to escape

Step-by-step explanation:

This is a classic problem where the first answer that comes to one's mind is not the correct answer.

The ant climbs up 8 cm per day and slips down 4 cm every night. It means the real distance the ant goes up is 8 - 4 = 4 cm per day. Since the total distance is 60 cm, it could lead us to think the time needed to escape from the bottle is 60/4=15 days. This is wrong, as we'll prove below.

Assume the last day, the ant climbs up the final 8 cm and escapes. We don't know yet when, but we can assure that day the ant was at a height of 60 - 8 = 52 cm.

That 52 cm was the result of the 4 cm per day the ant effectively went up, thus it needed 52/4=13 days to reach that height.

At 13 days, the ant was at 52 cm, the day 14 it climbed up the final 8 cm and escaped.

Answer: It took 13 days and a half to escape

Related Questions

Explain how your equations were affected by the sign of the ordered pair values (positive or negative).

Answers

The first number in the ordered pair is the x coordinate. It describes the number of units to the left or right of the origin. The second number in the ordered pair is the y coordinate. It describes the number of units above or below the origin. To plot a point, start at the origin and count along the x axis until you reach the x coordinate, count right for positive numbers, left for negative. Then count up or down the number of the y coordinate (up for positive, down for negative.)

A box measures 15 inches by 8 inches by 5 inches. What is the length of its longest diagonal?
Round to the nearest whole number

Answers

17 inches

15^2 + 8^2 = 289
square root of 289 = 17 inches

A team of bakers can roll and form 5 dozen pretzels in 9 minutes. How many pretzels can this team form in 1 hour?

This team can form
pretzels in 1 hour.

Answers

Answer:

This team can form 400 pretzels in one hour

Step-by-step explanation:

How many pretzels in 9 minutes?

5(12)=60

Solve as proportion

60 pretzels = 9 minutes

x pretzels = 60 minutes

60(60)=9x

3600=9x

Divide both sides by 9

x= 400 pretzels

This team can form 400 pretzels in 1 hour

Answer:

this team can form 30 pretzels in 1 hour

Step-by-step explanation:

60 minutes are in a hour, and 60 divided by 9 is 6.6. So that means you would have to use 6. So 9 x 6 equals 54. Now do 5 x 6 and that would equal 30.

True or false If LM = MP, then M must be the midpoint of LP.

Answers

Answer :

True...LP is a line in which M is the mid point...

Caleb types 100 words in 5 minutThe table below shows the cost of bananas at a local grocery store.

Banana Prices
Weight of Bananas
(pounds)
Cost
($)
1
0.75
2
1.50
3
2.25
4
3.00
?
3.75

How many pounds of bananas cost $3.75?es. What is the unit rate

Answers

Answer: 5 pounds

Every time the price goes up, it goes up 1 pound.

Given right triangle XYZ, what is the value of tan(Y)?

One-half

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

StartFraction StartRoot 3 EndRoot Over 2 EndFraction

StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction

Answers

Answer:

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Step-by-step explanation:

Find the diagram attached.

From the right triangle XYZ:

XY is the hypotenuse

XZ and YZ are opposite and adjacent

To get value of tan(Y), we will use the SOH, CAH, TOA, trigonometry identity.

According to TOA:

Tan(Y) = XZ/ZY

First let us get XZ

Using SOH

SinY = opp/hyp = XZ/XY

SinY = XZ/4

Sin30 = XZ/4

XZ = 4sin30

XZ = 4(0.5)

XZ = 2units

Next is to get ZY:

Using Pythagoras theorem:

ZY²+XZ² = XY²

ZY² = XY²-XZ²

ZY² = 4²-2²

ZY² = 16-4

ZY² = 12

ZY = √12

ZY = √4*3

ZY = 2√3

Solve for tan(Y):

Since Tan(Y) = XZ/ZY

Tan(Y) = 2/2√3

Tan(Y) = 1/√3

Rationalize

Tan(Y) = 1/√3*√3/√3

Tan(Y) = √3/√9

Tan(Y) = √3/3

Hence the correct option is A. StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Answer:

Step-by-step explanation:

StartRoot 3 EndRoot

W(x)=-3x-4 find w (7)

Answers

Answer:

w=-7

Step-by-step explanation:

Soooo-

W(x)=-3x-4

divide both sides by x

W=-3-4

combine like terms

W=-7

Answer:

w(4)=3(4)+7

w(4)=12+7

w(4)=19

What is the measure of angle c?

A. 30°
B. 70°
C. 110°
D. 40°

Answers

Answer:

B - 70

Step-by-step explanation:

The angles in a triangle always add up to 180.

70+40=110

180-110=70

Answer:

70 degrees

Step-by-step explanation:

All triangles have 3 angles that add up to 180 degreesHow to solve:40 + 70 + a = 180 // make equation 110 + a = 180 // add like terms- 110 - 110 // subtract 110 on both sides a = 7070 degrees

Hope this helps :)

22+n=-12 solve for n

Answers

Answer:

n= -34

Step-by-step explanation:

You want to get n alone so you would subtract 22 from both sides and -12 - 22 is -34

Answer:

-34

Step-by-step explanation:

22+n=-12

We move all terms to the left:

22+n-(-12)=0

We add all the numbers together, and all the variables

n+34=0

We move all terms containing n to the left, all other terms to the right

n=-34

is the first number a multiple of the second? 56, 8:

Answers

Answer:

Step-by-step explanation:

no bc 8 is a multiple of 56, not 56 a multiple of 8

if you could subscribe to my friend penny_pg3d on YT that would be great!

which of the option goes in the box i need hlep pls

Answers

This is rotation
.........

-f -5(2f - 3). Expand and combine like terms.

Answers

-f -10f +15=0
-11f = -15
F= 15/11

What is the distance -4 and 7 on a number line?

Answers

11 spaces :) 7 minus 11 is -4

work out the area of this trapezium
6cm
10cm
8cm
17cm

Answers

Answer:

(81√15)/4 ≈ 78.43 cm²

Step-by-step explanation:

It can help to draw a diagram.

The base angle at the side of length 6 can be found using the Law of Cosines. Its opposite side is of length 8, and the two adjacent sides are of length 6 and 7. So, we have ...

8² = 6² +7² -2·6·7·cos(α)

cos(α) = (36+49-64)/(84) = 1/4

α = arccos(1/4) ≈ 75.522°

Then the height of the trapezium is ...

6·sin(75.522°) ≈ 5.80948 . . . . cm

The area of the trapezium is given by the formula ...

A = 1/2(b1 +b2)h

A = (1/2)(17 +10)(5.80948) . . . . cm²

A ≈ 78.43 cm²

Of course, sin(arccos(1/4)) = (√15)/4, so the exact formulation of the area is ...

A = (81√15)/4 cm²

If Kailyn ran 3 miles in 20 minutes, how many miles would she run in 1 hour?
1 hour = how many minutes?

Answers

Answer:

1 hr =60 mins kailyn ran 9 miles in 1 hour

Step-by-step explanation:

Hope this helps:)

You buy a football for $25. It is on sale for 15% off. How much do you save?
$28.75
$3.75
$21.25
$15

Answers

Answer:

$3.75

Step-by-step explanation:

At a tree farm, there are 9 rows of 36 spruce trees.In each row, 14 of the spruce trees are blue spruce. How many spruce trees are NOT blue spruce?

Answers

Answer:

198 spruce are NOT blue

Step-by-step explanation:

Answer:

22 not blue each row.

198 = ANSWER

Step-by-step explanation:

Simone examined the pattern in the table.

Powers of 10
Value
10 Superscript 1
10
10 Superscript 0
1
10 Superscript negative 1
StartFraction 1 Over 10 EndFraction
10 Superscript negative 2
StartFraction 1 Over 100 EndFraction
10 Superscript negative 3
StartFraction 1 Over 1000 EndFraction
10 Superscript negative 4
StartFraction 1 Over 10,000 EndFraction

Based on the pattern, which power of 10 would have a value of StartFraction 1 Over 1,000,000 EndFraction?
10 Superscript negative 6
10 Superscript negative 5
10 Superscript 5
10 Superscript 6

Answers

Answer:

C. 10 Superscript 5

Step-by-step explanation:

Answer:

10 scripture 5

Step-by-step explanation:

a. Connie has $100 in her piggy bank. Ryan has 3 times more than Connie. How much money does Ryan have?

Joe's equation: 100 cross times 3 equals r

Answers

Answer:

Its 300

Step-by-step explanation:

Because 100 x 30 = 300

A square serving platter has an area of 124 inches squared. Which is the best estimate of the side length of the platter?

Answers

Answer:

Approximately 11 inches

Step-by-step explanation:

Answer: d 11.1 inches

Step-by-step explanation:

Cute

PLZ help I am confusion. Math is hard

Answers

Answer:

It is C I am good at math

Step-by-step explanation:

The correct answer is C.

Help (no it’s not HEAD)

Answers

Answer:

AIHC

Step-by-step explanation:

Miguel had $320 dollars in his bank account and adds $15 each month. How many months will it take for Miguel to have more than $910 in his account.

Answers

Answer: just more than 39.3 months

Step-by-step explanation:

$320 + 15m = $910

-320 + 15m = $910 - $320

15m= $590

15 15

m= 39.3 months

PLEASE ANSWER THIS ASAP!!!

Answers

Answer:

so --#9 siunuens sidbishdidhdh did he idbd

what did you do to numerators? what did you do too to the denominatores?

Answers

Answer:

what do you mean by "what do you do to...."

The problem C(x)=25x+50 represents the labor coat in dollars for quick cedar to build a deck where x is the number of hours of labor

Answers

Answer: 18.6 or 93/5

Step-by-step explanation:

See attached picture

Charlie currently has $45 in savings. He had been saving $9 each week. Yesterday he spent $126 of the savings. For how many had he been saving?

Answers

He has been saving for 14 days!

Can someone please help me?

Answers

the answer would be D!!! :)

What is the quotient of 24336 ÷ 48 ?

Answers

The answer would be 507

Answer:

507

Step-by-step explanation:

i used a calculator

Will give Branliest!!!
whitch inequality is true?

A) 2pi-1≤5
B) pi+8≤11

Answers

neither, the first one is greater than 5 and so is 11

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