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swat32
3 years ago
13

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 sudd

enly 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?
Mathematics
1 answer:
Mashutka [201]3 years ago
5 0

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.

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What is the approximate area of the shaded sector in the circle shown below?
Strike441 [17]

Answer:

Correct option is B.

Step-by-step explanation:

Given the radius of circle and the angle in sector we have to find the area of shaded region i.e minor sector.

Radius=r=16 in.

Angle=\theta=110^{\circ}

Area of sector=}\frac{\theta}{360}\times\pi r^2

                      =\frac{110}{360}\times\frac{22}{7}\times(16)^2

                      =\frac{11}{36}\times \frac{22}{7}\times 16\times 16=245.841=246(approx.)

∴ Area of sector is 246in^2

Correct option is B.

4 0
3 years ago
A concession stand vendor counts the money in the register. after 2 h it has $82.75. after 6 h is has $ 360.75. how much money w
Volgvan
I believe the answer would be c. $499.75. If you take (360.75-82.75)/(6-2) you get 278/4 which is dollars/hour, and that =69.5 so the rate of increase is $69.50 per hour, therefore if 6 hours produced $360.75 then you +$69.50•2(hours) and get $499.75
4 0
3 years ago
Slope-intercept form for -10x+5y=5
max2010maxim [7]
Y=2x+1 is the answer
5 0
3 years ago
Read 2 more answers
I need help on thesis promblem please
astraxan [27]
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4 0
3 years ago
According to records from 50 years, there is a 2/3 chance of June temperatures being above 80 F. Azul needs to find the probabil
Brrunno [24]

Record of june temperature of last 50 years

Probability of June temperature being above 80° F from last 50 years

                      =\frac{2}{3}

It means , out of 30 days ,there are  only 20 days , in which temperature is above 80°F.

⇒Probability that it will be above 80° F for 20 or more days this June

                =\frac{20+x}{30}  

where, x is the number of extra days after 20 days in month of june, when temperature is above 80°F.

Value of this Probability will be in between

                \frac{2}{3}\leq P \leq 1  

Now, what Azul wants

 To find the probability that it will be above 80° F for 20 or more days this June.

The Simulation given is

  ⇒There are 30 days in June. If we use a number cube with the numbers 1-6 and assign 1-4 as a temperature above 80° F and 5-6 as a temperature 80° F or below.

Total number of numbers on number cube ={1,2,3,4,5,6}

Favorable Outcome={1,2,3,4}=Temperature above 80° F

Temperature 80° F or below ={5,6}

⇒Probability of getting number {1,2,3,4} on the number cube when rolled once,that is Temperature above 80° F

        =\frac{4}{6}\\\\=\frac{2}{3}

⇒Probability of getting number {5,6} on the number cube when rolled once, that is Temperature 80° F or below

        =\frac{2}{6}\\\\=\frac{1}{3}

This is Incorrect Simulation, as there are chances that , there can be more than 20 days out of 30 days when Temperature goes above 80° F.But Here we have got Probability of temperature being above 80° F for 20 days only, not more than 20 days, which is =\frac{2}{3}

Not,a number

    \frac{2}{3}< \text{Probability} \leq 1.    

4 0
4 years ago
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