Creative Logic: Kevin is hiking on the trail and has to cross a rope bridge. He looks down at the raging river below and is suddenly very nervous. The bridge has 20 planks on it and every time he steps forwards five planks, he then steps backwards four planks. How many times must he do this to reach the other side?

Answers

Answer 1

Answer: 40 times

Step-by-step explanation:

Given: Total planks = 20

By using integers, Steps forward is represented by +5, Steps backward s represented by  -4.

After first set of two steps ( one forward another backward), 5-4 =1 step forward is captured.

For 20 planks , we require 20 such sets, i.e. he will do this 2x 20 times i.e. 40 times.

Hence, he will do this 40 times to reach the other side.


Related Questions

Gavin is saving up to buy a new phone. He already has $100 and can save an additional $7 per week using money from his after school job. How much total money would Gavin have after 10 weeks of saving? Also, write an expression that represents the amount of money Gavin would have saved in w weeks.

Answers

The total money would Gavin have after 10 weeks of savings is $ 170 and the required expression is 100 + 7w  

Mathematical expression:

A mathematical expression is a combination of numbers, symbols, and operators that represents a mathematical relationship or calculation. It is written in a way that follows specific rules of mathematical notation, such as using parentheses to indicate the order of operations.

Here we have

Gavin is saving up to buy a new phone.

He already has $100 and can save an additional $7 per week using money from his after-school job

Let us assume that he worked for 'w' weeks  

The amount earned for 'w' weeks = 100 + 7w

Hence, the required expression is 100 + 7w  

The total amount saved in 10 weeks = 100 + 7(10) = $ 170

Therefore,

The total money would Gavin have after 10 weeks of savings is $ 170 and the required expression is 100 + 7w  

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What is the equation, in slope-intercept form, of the line plotted on the graph below?
A. y= - 2/3 x - 1
B. y= 2/3 x -1
C. y= 3/2 x - 1
D. y= 3/2 x - 1

Answers

The slope is rise/run, so if you count it in the graph, you’ll see that it’s 3/2. Also, the y-intercept (where the graph crosses the y axis) is 1. So the answer is y=3/2x-1.

(It looks like you may have accidentally typed answers C and D as the same.)

What's the "x" in -3x + 17 = -4?

Answers

Answer:

What's the "x" in -3x + 17 = -4?

Step-by-step explanation:

What's the "x" igcugxxugutdffifiyfiyfiyfuydutdtuuffufuyfufutyfufufutfuyfufutfuttfuuffufuufugfiyfygugutuyuggiygiyyfiygiufiyfiyfiyin -3x + 17 = -4?

Answer:

x=7

Step-by-step explanation:

-3x + 17 = -4

-3x=-4-17

-3x=-21

x=7

Help I only have a few hours till I fail this course!!!!!!!!!
Store A charges $4 for 5 apples, store B charges $6.75 for 9 apples. Which one is a better deal? WHY?

Answers

Answer: well it depend on ir ur trying to spend the most money or least

Step-by-step explanation: Stora A because you would have to pay that much and u get alot of apples, also because you didt spend alot of money on appels

Store B because that alot of appels that can probaly last a while and u can make stuff with it

Answer:

The second one

Step-by-step explanation

Find the worth of one apple

5/4=0.8

0.8x9=7.2

The second one is less expensive.

im solving variables 4u = 35 - 3u

Answers

Answer:

5

Step-by-step explanation:

add 3u to both sides

7u=35

divide both sides by 7

u=5

the answer to your question is 5

250 is what percent of 200?

Answers

Answer:

125%

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

What percent is 250 of 200? If you are using a calculator, simply enter 250÷200×100 which will give you 125 as the answer.

Hope that helps

Have a good day :)

200 ÷ 70 ONLY THE ANSWER AND REMAINDER IF THERE IS.

Answers

It will be 00.2 but it’s 2 and the remainder is 60 hope this helps!

Answer:

2 remainder 60!

Step-by-step explanation:

i need help with geometry

Answers

Answer:

It would be C. I and II

Step-by-step explanation:

slope , m = 3 .y -intercept , b =7

Answers

Answer:

The slope is 3 and the y-intercept is 7. The equation of the line is 3y - 7.

Step-by-step explanation:

The equation of the line works such that y = mx + b where m is the slope and b is the y-intercept. Thus,

slope = m

         = 3

y-intercept  = b

                   = 7

Don’t mind me just need to answer a question

Which triangles are similar?

Answers

Answer:

A and c are similar except C is bigger than as so the scaling has gotten higher, so the answer is D

Step-by-step explanation:

The length of Dwight's garde is 12.5 meters. Dwight measured it but made a measurement error of 6%. Find the lowest and highest measurement Dwight could have made. Show your work.

Answers

Given :

The length of Dwight's garden is 12.5 meters.

Dwight measured it but made a measurement error of 6%.

To Find :

The lowest and highest measurement Dwight could have made.

Solution :

Error in length measuring is :

[tex]\Delta \ l = 12.5\times 0.06 \\\\\Delta \ l = 0.75\ m[/tex]

Therefore, the lowest and highest measurement he could have is 12.5 - 0.75  = 11.75  meters and 12.5 + 0.75 = 13.25  meters.

z varies directly with q. when z=2,q=1 .

find a formula connecting z and q

z=???

Answers

Answer:

[tex]z = \frac{q}{2} [/tex]

Step-by-step explanation:

[tex]z \infty q[/tex]

[tex]z = kq[/tex]

[tex]z = 2 \: and \: q = 1[/tex]

[tex]2 = k1[/tex]

[tex]k = \frac{2}{1} [/tex]

[tex]z = \frac{1}{2} q[/tex]

[tex]z = \frac{q}{2} [/tex]

9514 1404 393

Answer:

  z = 2q

Step-by-step explanation:

The formula for direct variation is ...

  z = kq . . . . . k is the constant of proportionality

We can find k using the given values of z and q:

  k = z/q = 2/1 = 2

Then the equation connecting z and q is ...

  z = 2q

Once debbie arrives in each city,she'll need a backpack to carry around with her. What was the percent markup if a store bought the backpack for $25 ans somd it to debbie for $40

Answers

Answer:

60%

Step-by-step explanation:

40 / 25 - 1 = 60%

the length of a rectangle is four times its width. if the perimeter of the rectangle is 70in, what would be its length and width...

Answers

Answer:

length- 28 width- 7

Step-by-step explanation:

7 times 4 is 28, so 28 times 2 is 56, 7 times 2 is 14, 56+14 is 70

Help !!!
See question in image.
Please show workings .

Answers

Answer:

Given a function y=f(x) its first derivative – the rate of change of y with respect to x – is defined by: dydx=limh→0[f(x+h)−f(x)h]. Finding the derivative of a function by computing this limit is known as differentiation from first principles

and put the formula answer will be there

Answer:

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) is

f'(x) = lim( h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]

      = lim( h to 0 ) [tex]\frac{\frac{3}{x+h}-\frac{3}{x} }{h}[/tex]

     = lim( h to 0 ) [tex]\frac{3x-3(x+h)}{hx(x+h)}[/tex]

     = ( lim h to 0 ) [tex]\frac{3x-3x-3h}{hx(x+h)}[/tex]

     = lim( h to 0 ) [tex]\frac{-3h}{hx(x+h)}[/tex] ← cancel h on numerator/ denominator

     = lim( h to 0 ) [tex]\frac{-3}{x(x+h)}[/tex] ← let h go to zero, then

f'(x) = - [tex]\frac{3}{x^2}[/tex]

i really need help with this im trying to get my grade up

Answers

I think the answer ^ is correct

What is the interquartile range of the data shown in the box plot?

Answers

Answer:

12

Step-by-step explanation:

Interquartile range (IQR) = third quartile (Q3) - first quartile (Q1)

From the box plot given, the first quartile is located at the beginning of the edge of the rectangular box = 73,

the third quartile is located at the other edge of the rectangular box to your right = 85

URGENT
which number produces a rational number when multiplied by 0.53?
A: π
B: 0.2645751311
C: √5
D: 5/7

Answers

Answer:

B

Step-by-step explanation:

Interpret the remalnder to solve.
1. Hakeem has 100 tomato plants. He wants
to plant them in rows of 8. How many full
rows will he have?

Answers

Answer:

Step-by-step explanation:

Interpret the remainder to solve. 1. Hakeem has 100 tomato plants. He wants to plant them in rows of 8. How many full rows will he have? Think: 100 ÷ 8 is 12 with a remainder of 4. The question asks “how many full rows,” so use only the quotient. 2. A teacher has 27 students in her class. She asks the students to form as many groups of 4 ...

hey, does anyone know the answer?

Answers

Answer:

the bottom one my dude. hope it helps!

What is the equation? (the last option you can't see isn't an option)

Answers

Step-by-step explanation:

[tex]y = (x + 3) {(x - 4)}^{2} [/tex]

Somebody pls pls help me with this I’ll mark u brainliest

Answers

Answer:

Step-by-step explanation:

The angle of a line is 180 degrees. A right angle is 90 degrees, and the given angle is 55 degrees. All you have to do is add 90 and 55, and subtract that sum from 180.

what are the coordinates of D’ after a dilation with a scale factor of 2?

Answers

Answer:

4,-2 that is what it should be

If an 8 sided solid is rolled 180 times, how many times would you expect either a 3,5, or 7 to be rolled? ​

Answers

Answer:

no

Step-by-step explanation:

3x +4= 9x + 3 I need help PLEASEEE

Answers

Add 3x and 9x together and then your equation should look like this, 12x + 7

Answer:

x=-1/6

I luv u

PLEASE ANSWER of course when you get a chance......PLEASEEE
The football teams at a recreation center are given money to purchase equipment for the season. Each team receives $50 per player. Let m represent the amount of money a team is given and let p represent the number of players on the team. Express the relationship between m and p as an equation.

A. m=50
B. p=50m
C. m=50p
D. m= p/50

Answers

Answer:

Option C: m=50p is the correct answer.

Step-by-step explanation:

Given that:

Amount received per player = $50

Let,

m represent the amount of money each team is given.

p represent the number of players on the team

Amount of money = Amount received per player * Number of players

m = 50p

Hence,

Option C: m=50p is the correct answer.

WEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

a^7/8^2

Step-by-step explanation:

Here, we want to write the expression using only positive exponents

An important rule for indices to use here is that;

a^-b = 1/a^b

thus;

8^-2 = 1/8^2

So we have;

1/8^2 * a^7

= a^7/8^2

Which angles in the picture are NOT supplementary?
A.) 2 and 3; 1 and 4
B.) 1 and 3; 2 and 4
C.) 4 and 1; 3 and 4
D.) 1 and 2; 2 and 3

Answers

B.) 1 and 3; 2 and 4 in the picture are not supplementary.

Supplementary angles refers to the type of angles whose sum is 180°. It is not mandatory for the division of angle to be in half. The angles can be 60° and 120°, 130° and 50°, 90° and 90° and so on.

In the figure, we can see two lines intersect each other. Angle 1 and 2 are present on straight line, and hence, their sum will be 180°. Angle 2 and 3 are present on straight line, and hence, their sum will be 180°. Angle 3 and 4 are present on straight line, and hence, their sum will be 180°. Angle 1 and 4 are present on straight line, and hence, their sum will be 180°.

Angle 2 and 3 and angle 1 and 4 are opposite angles, that are not present on same straight line. Therefore, they are not supplementary angles.

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whats 63/100-5/10? with an good 5th grade explanation​

Answers

Answer:  .13

Step-by-step explanation:

63/100=0.63

5/10=0.50

=.13

I took 63 and divided it by 100 to get .63 and took 5 and divided it by 10 to get .50 so I took them and subtracted them to get .13

Plzz help me ill give u brainlist

Answers

Answer:

B. A 100° angle

Step-by-step explanation:

Im pretty sure its an 100 degree angle :)

B.

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