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

OKK almost done pls tell me if you can!!!!

Answers

Step-by-step explanation:

(3*4+1) / 4. * (2*5+3) / 5

= 13/ 4 * 13 /5

= 169/20

Answer:

(8 9/20)(x)

Step-by-step explanation:

Someone please help me answer this question

Answers

Answer:

reeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

The answer is 1.5 mg

lets try this again can someone help

Answers

Answer:

Step-by-step explanation:

First expand into [tex]\left(x^2-9\right)\left(3x+2\right)[/tex]. Then expand again to[tex]3x^3+2x^2-27x-18[/tex]

P L E A S E H E L P M E W I LL SC A M Y O U I F U T A K E M Y P O I N T S

Answers

Answer:

135c^7

Step-by-step explanation:

[tex]135c^7[/tex] is the simplified equation of the given expression.

What is simplification?

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

To simplify [tex]5c(3c^2)^3[/tex], we need to apply the power rule of exponents, which states that [tex](a^m)^n = a^{(m*n)[/tex].

In this case, we have [tex](3c^2)^3[/tex], which means we need to multiply the exponent 3 by the exponent 2, giving us 6. So, we can rewrite the expression as:

[tex]5c(3c^2)^3 = 5c(3^3c^{(2*3)})[/tex]

Simplifying further, we get:

[tex]5c(3^3c^6) = 5c(27c^6)[/tex]

Finally, we can simplify by multiplying 5 and 27, and adding the exponents of c:

[tex]5c(27c^6) = 135c^{(1+6)} = 135c^7[/tex]

Therefore, [tex]5c(3c^2)^3[/tex] simplifies to [tex]135c^7[/tex].

Learn more about Simplification here:

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In a study of facial behavior, people in a control group are timed for eye contact in a 5- minute period. Their times are normally distributed with a mean of 184 seconds and a standard deviation of 55 seconds. For a randomly selected person from the control group, find the probability that the eye contact time is greater than 230 seconds

Answers

Answer:

0.20148

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 230

μ is the population mean = 184

σ is the population standard deviation = 55

z = 230 - 184/55

z = 0.83636

P-value from Z-Table:

P(x<230) = 0.79852

P(x>230) = 1 - P(x<230) = 0.20148

Therefore, the probability that the eye contact time is greater than 230 seconds is 0.20148

x= -1/5; f(x) = (25/2)x + (-91/2) =

Answers

Answer:

Write the problem as a mathematical expression.

X=−1/5; f(x)=(25/2)x+(−91/2)

Replace the variable x with x=−1/5 in the expression.

f(−1/5)=(25/2)(−1/5)−91/2

Simplify the result.

−48

Step-by-step explanation:

Will I fail this year, let me know what you think.

Answers

Answer:

nahhhhhhh u will passsss

please solve the logarithmic equation and show your work. log3(2x-5)=2

Answers

X=7
1- determine the defined rang=> log3(2x-5)=2,x>5/2
2-convert it into exponential form using (log'a'(x)=b is equal to x=a exponent b)=
2x-5=3 with exponet 2
3-evaluate = 2x-5=9
-> 2x=9+5
2x=14
X=7
Hope this helps!!

13
=
Which of the following represent functions that have the same rate of change?
A. y = 1
х
1
2
3
4
OB
у
-2
-2
-2
-2
х
1
2
3
4
C.
у
-2
-4
-6
-8
O D.y = 2x

Answers

A & B

Step-by-step explanation:

You find the rate of change by taking the change in y over the change in x. If you look at A, you'll quickly realize there is no change in y as x increases. If you look at B the same is true, as x increases y stays the same.

Find the value of x. Round to
the nearest tenth.
Х
15°
300
X = ?

Answers

Answer:

80.4

Step-by-step explanation:

Use the tan formula

The value of X is approximately 80.38 units.

Here, we have,

To find the value of X, we can use trigonometric functions.

In this case, we'll use the tangent function, which relates the angle and the sides of a right triangle.

The tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

In this scenario, we have the angle between the hypotenuse and the base as 15°, and the base of the triangle is given as 300 units.

Using the tangent function, we can set up the equation:

tan(15°) = X / 300

Now, let's solve for X:

X = 300 * tan(15°)

Using a calculator, we find:

X ≈ 80.384

Rounding to the nearest tenth, the value of X is approximately 80.38 units.

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Hadley was going out with her friends for dinner. The equation c = x + 0.07x + 0.18x gives the total cost c of her meal, where x is the cost before tax and tip. The restaurant charges 7% sales tax and she plans to leave an 18% tip. She knew that she can only spend $18. What is the maximum amount Hadley can spend before tax and tip?

Answers

Answer:

$14.4

Step-by-step

c = x + 0.07x + 0.18x

18 = x + 0.07x + 0.18x

18 = 1.25x (simplify)

14.4 = x  (divide both sides by 1.25)

300 students were served about their favorite Subject the results are shown on the table below language arts 15 math 24 psi and 33 social studies 21 elective seven how many students prefer science then math

Answers

I honestly don’t know I’m just trying to get my question answered

Aden gets paid daily for the work she does and she does not work on Sundays. Last year which was n ot a leap year had 52 Sundays. She got Dhs 354003 as her annual salary last year. If the March of last year had 5 Sundays, how much did she earn in that month?

Answers

Answer: Dhs 29312.4

Step-by-step explanation:

For a leap year, we should note that there are 366 days. Since there were 52 Sundays, the number of days worked by Aden will be:

= 366 - 52

= 314 days

Since she got Dhs 354003 as her annual salary last year, the amount received per day will be:

= 354003 / 314

= Dhs 1127.4

The amount earned in March will be:

= (31 - 5) × 1127.4

= 26 × 1127.4

= Dhs 29312.4

Select two ratios that are equivalent to 2:92:92, colon, 9.

Answers

Answer:

The only options equivalent to 2:9 are B and C. A ratio is a comparison between two or more numbers

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

What is x ?
-2x + 7x - 62 = 83

Answers

Answer:

x = 29

Step-by-step explanation:

Yes the answer is 29

Help please! I’m bad with geometry.

Answers

Answer:

Step-by-step explanation:

1). Figure given on the top shows two lines with red marks (on segments UT and SR) are equal in measure.

Therefore, UT ≅ RS

2). In the second figure, Two angles have been marked with red arcs are equal in measure.

Therefore, ∠C ≅ ∠D

3). Angle marked with red square is a right triangle.

∠D = 90°

I need help please! ​

Answers

Answer/Step-by-step explanation:

Area of trapezium = ½*(AD + BC)*AB

Area = 42 cm²

AD = (x + 8) cm

BC = (x + 5) cm

AB = x cm

Plug in the values into the equation

42 = ½((x + 8) + (x + 5))*x

42 = ½((x + 8 + x + 5)*x

42 = ½(2x + 13)*x

Multiply both sides by 2

42*2 = (2x + 13)*x

84 = 2x² + 13x

2x² + 13x = 84

Subtract both sides by 84

2x² + 13x - 84 = 0

Help me pleaseee haha

Answers

Answer:

C = 5x + 100

Step-by-step explanation:

Its C because...

The 100 is the y-intercept, it's not going to change, it will remain constant

The 5x represents the amount of money PER day, which is 5, so as each day increases (x) so will the amount of money

Hope this helped!

Answer:

The answer is 5x + 100.

Step-by-step explanation:

the starting fee is 100 and it costs 5 per day so 5x + 100.

Please give brainliest

Janel went shopping and bought 2 shirts and a pair of pants for $55.78 before tax. How much was the total after 6% sales tax?

Answers

Answer:

$59.13

Step-by-step explanation:

6% of 55.78= 3.35

3.35+55.78=59.13

The Owner of a large chain restaurant with 1,200 employees estimates that about 250 employees will ask for winter vacation. A random sample of 40 employees show that 8 of them will ask for the time off . Determine whether the owner's estimate is likely to be accurate

Answers

Answer:

He is likely to be accurate.

Step-by-step explanation:

An estimate is a value that is close to the true or actual value. Usually, a sample from a smaller group is projected into a larger population. To crosscheck the trueness of the estimate, we compare the small sample to the large sample thus;

If 40 employees =  8 applicants for vacation

1200 employees = ? applicants for vacation

Cross multiplying the above gives;

1200 * 8

40

= 9600/40

= 240 applicants for vacation.

The figure 240 is close to the owner's estimate of 250.

Solve the system of linear equations using
substitution. Y=x-3
Y=8x-31

Answers

Answer:

x=4 y=1 or (4,1)

Step-by-step explanation:

need help asap if you can help that would be awsome

Answers

Answer:

12

Step-by-step explanation:

the diagram is shown to have 3 equal angles (equilateral triangle) therefore all sides are the same length.

X = 12

1) Give an example of a rational number AND an irrational number.
What is the difference between them?

2) What is the decimal equivalent of your two examples?

3) Can every repeating decimal be written as a rational number? Explain why or why
not.

Answers

Answer:

Step-by-step explanation:

A rational number is one that can be expressed as a fraction. Pi cannot be. If I tell you that the 2000th digit of pi is an 8 (which it probably isn't) and I ask you to tell me the 2001 value of pi, you have no better odds that 1/10 of getting it right.

A rational number can always be reduced to a fraction. 20 1/2 can be expressed as a fraction. It is 20.5

Pi is irrational. I don't know the value of pi beyond what a calculator can tell me.  3.14159265 The next digit is a 4. I know this only because that is what the calculator tells me.

Repeating decimals call always be represented as a fraction. For ex

x = 0.123123123123123

1000x = 123.123123123123

       x =       .123123123123123      Subtract

999x = 123

This comes about because in both cases what is after the decimal is the same.

x = 123/999 = 41/333

round to the nearest 10th (-1 , 4) and (1 ,-1)

Answers

Answer:

hehhfhrhrjrhrh

Step-by-step explanation:

jfjfjurufurufufjfufuhfhfjfirjfujrjfirkfkhu is the term-to-term of all 4x 4 in a number subtract and its own in an expression 6.40 is the term-to-term of all that they are students to the people who is the true and their family sense TTYL their minds to the people who is the term-to-term

Lynn and three friends estimated to find 29.11 ÷ 35. Their estimates are shown in the table below.



Whose estimate is best?

Answers

Answer:

I don't see any table please be sure to include it.

Step-by-step explanation:

Answer:

Lynn

Step-by-step explanation:

29.11 divided by 35 is 82 remainder 31. Lynn has the closest answer.

Find the measure of the numbered angle

Answers

angle 1: 50
angle 2: 130
angle 3: 50
angle 4: 130
angle 5: 40
angle 6: 140
angle 7: 90
angle 8: 140

Answer:

1 = 50°,  2 = 130°,  3 = 50°,  4 = 130°,  5 = 40°,  6 = 140°,  7 = 90°,  8 = 140°

Step-by-step explanation:

The sum of the angles of a triangle is 180°. A flat angle measures 180° as well.

Angle 1: 180 - 90 - 40 = 50°

Angle 2: 180 - 50 = 130°

Angle 3: 180 - 130 = 50°

Angle 4: 180 - 50 = 130°

Angle 5: 180 - 90 - 50 = 40°

Angle 6: 180 - 40 = 140°

Angle 7: 180 - 90 = 90°

Angle 8: 180 - 40 = 140°

It's a little complicated, but I hope this helps!

what is 1/5x +8 < -4

Answers

Answer:

The answer is x< -60

please let me know if I am incorrect.

Explanation:Solve for x by simplifying both sides of the inequality, then isolating the variable.

~Can ~ you ~ please ~ help ~ me ~ out?~
Also please don't make fun of how I write my questions- ;w;
If you do that's okay, I'm not the boss of you ^^

Answers

Answer: c

Step-by-step explanation:

You can walk 3/4 of a mile in 1/6 of an hour (10 minutes). How far can you walk in an hour?

Answers

Answer:

4 and 1/2 miles (or 9/2 miles)

Step-by-step explanation:

I would set this up as a proportion

3/4          x

10          60

Cross multiply

60 x 3/4 = 45

Divide

45/10 = 4.5

4.5 = 4 and 1/2 miles

solve the equation. check your solution n - 6 = 21

Answers

Answer:

n=27

Step-by-step explanation:

Answer:

n=27

Step-by-step explanation:

Let's solve your equation step-by-step.

n−6=21

Step 1: Add 6 to both sides.

n−6+6=21+6

n=27

Hope it helped!

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