You play the following game with a friend. You share a pile of chips, and you take turnsremoving between one and four chips from the pile. (In particular, at least one chip must beremoved on each turn.) The game ends when the last chip is removed from the pile; the onewho removes it is the loser.It is your turn, and there are 2014 chips in the pile. How many chips should you remove toguarantee that you win, assuming you then make the best moves until the game is over
Answer:
Each time, a person takes 1, 2, 3, or 4 chips. The strategy for a player to win the game is taking the number of chips so that the number of chips left is the form of 5k + 1 .
If It is my turn, and there are 2014 chips in the pile, I shoud take 3 chips and the left is 2011 (=5.k +1). And if the opponent takes x chips (x = 1, 2, 3, 4) , i win take 5 - x chips to guarantee the left is always in the form 5k + 1. And finally, the opponent will take the last chip.
Step-by-step explanation:
Each time, a person takes 1, 2, 3, or 4 chips. The strategy for a player to win the game is taking the number of chips so that the number of chips left is the form of 5k + 1 .
If It is my turn, and there are 2014 chips in the pile, I shoud take 3 chips and the left is 2011 (=5.k +1). And if the opponent takes x chips (x = 1, 2, 3, 4) , i win take 5 - x chips to guarantee the left is always in the form 5k + 1. And finally, the opponent will take the last chip.
Write the equation of the line in point-slope form that goes through the points (0, 1) and (2, 7)
Answer:
point - slope form
y - 1 = 3 (x-0)
Step-by-step explanation:
step(i):-
Given points are (0,1) and (2,7)
The slope of the line
[tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
[tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{7-1}{2-0} = \frac{6}{2} = 3[/tex]
m =3
Step(ii):-
point -slope form
y - y₁ = m(x-x₁)
Equation of the straight line passing through the point (0,1) and having slope 'm' = 3
y - 1 = 3 (x-0)
y -1 = 3x
3x - y +1=0
Equation of the straight line passing through the point (0,1) and having slope 'm' = 3 is 3x -y +1=0
GiViNg BrAiNlIsT Match the vocabulary word with the correct definition.
1. constant of variation
a two-dimensional system in which a location is described by its distance from two intersecting, perpendicular axes
2. coordinate plane
principle that states that the number of outcomes for a compound event is found by multiplying the total number of outcomes for each event together
3. counting principle
the rate of change in a direct variation; also known as constant of proportionality
4. compound event
an event consisting of two or more events that can happen at the same time or one after the other
5. dependent events
compound events in which one event affects the likelihood of the other event
Answer:
1. coordinate plane, 2. counting principle, 3. constant of variation, 4. compound event, 5. dependent events
Plzzz help mr plzzz mathhh
Answer:
x = 20
Step-by-step explanation:
First, we need to combine both equations as we know they are create a "straight angle", which is 180 degrees:
2x + 8 + 6x + 12 = 180
Next, we can combine like terms to simplify the equation:
8x + 20 = 180
Now, we can subtract 20 from each side:
8x = 160
Finally, we divide both sides by 8 to find the value of "x":
x = 20
I hope this helps!
-TheBusinessMan
If ab and cd are congruent what is the measure of
Answer:
25°
Step-by-step explanation:
the arcs are congruent, and the radii are the same length, as it would be from any other point in a circle. this means that the angle must be the same.
Please answer soon ty!
Answer:
A
Step-by-step explanation:
4.22
1 point
A rectangular ballroom is being carpeted. The room measures 12 feet by 11 feet. If the carpet costs $3.60 per square foot, then what is the cost of
the carpet?
Answer:
first lets find the area of the floor.
A=l*w where l=length and w=width
Plug in the data
A=14*12
A=168ft²
If 1 square foot of carpet is 2.90$, then 168 square feet are...
1 sqft 168sqft
_______ = ________
2.90$ x$
Cross multiply
1x=487.20
divide both sides by 1
x=487.20 dollars
Answer= $487.20
Step-by-step explanation:
10 A three-dimensional letterH is formed by joining two identical cuboids and a cube.
Answer:
10= 275
-------------
11=
a 6
b 4
-------------
12= 35
Step-by-step explanation:
Hey my dudes and dudettes, I need help... again...
Answer:
the answer is 58.12
Step-by-step explanation:
heheheheheh smart ppl tingz
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5.
The domain of the function f(x) is the set of integers greater than-5. Choose all the following values that represent the elements of the range fx).
A f(-10)
B. (-2)
cf(-5)
D118
E (0)
Ff(-18)
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Solve
11× +9-7
8s- 11s+ 6s
Answer:
i dont know if this the answer for the first on x=1.45454545455 and the other on is 3s
Step-by-step explanation:
3
45 X
Pleaseee help meeee
Answer:
135..........................
Answer: 45*3= 135
135 is the answer for 45*3.
Please help me find the slope if you answer this I’ll mark you brainliest. Picture below
Answer:1111
Step-by-step explanation:9*064
Answer:
undefined
Step-by-step explanation:
it's just up and down, no rise over run or anything
PLEASE HELP!
If Southbrook Middle School has 850 students, then how many students participate in the various number of sports: I download a picture with the question. Thank You!
Answer:
102 Non-Participation
357 One sport
238 Two sports
153 Three sports
Step-by-step explanation:
Please help me ASAP.
Answer:
I belive the anwser is 4x + 16
Step-by-step explanation:
How to solve:
5 1/2 + x/6 ≤ 3 1/3
Answer:
x≤-91
Step-by-step explanation:
1) 4n - 2n = 4
Solve the equation.
Answer:
n＝2
Step-by-step explanation:
2n＝4
n＝2
Answer:
= 2
Step-by-step explanation:
Please mark brainliest :)
Hope this helps
Have a great day!!
Complete the table below for the function y= 3x
Answer:
the first one equals 3 the second one is 6 and the third one is 9
Step-by-step explanation:
Answer:
:D
Step-by-step explanation:
thx i needed this answer
1/2 (3x + 5) = 7
anyone can someone explain this problem to me so I can understand it better.
Write the following number as an improper fraction:
-12 2/3
-38/ 3
Step-by-step explanation:
hope it helps!
....
HELP PLS! :( whoever gets it right gets brainliest!!!
the algebraic expression for "the quotient of 63 and x"
Answer:
63/x
63 divided by x
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
1+!3245
EXPLAIN PLEASE Will give brainlist!
Question 1 (1 point)
1. Which three lengths could be the lengths
of the sides of a triangle?
O A.12 cm, 5 cm, 7 cm
O B.10 cm, 15 cm, 24 cm
O C.9 cm, 22 cm, 11 cm
O D.21 cm, 7 cm, 6 cm
Answer:
B
Step-by-step explanation:
For three side lengths to make a triangle, the two smaller ones have to add up to be greater than the third one. This is because if they are any smaller, they won't be able to touch and form a triangle. The formula for this is a+b>c.
You can go through each answer choice and determine whether or not it would work:
A. 12, 5, and 7
5 + 7 > 12 --> 12 > 12 (NOT true)
B. 10, 15, and 24
10 + 15 > 24 --> 25 > 24 (true!)
C. 9, 22, 11
11 + 9 > 22 --> 20 > 22 (NOT true)
D. 21, 7, and 6
7 + 6 > 21 --> 13 > 21 (NOT true)
This means that the correct answer is B.
The speed of one car is 20% less than the speed of a second car. What per cent more time does the first car need to travel the same route as the second car?
Answer:
25% or more
Step-by-step explanation:
t1 = d1/v1 , t2 = d2/v2.
d1 = d2 , and v1 = 0.8 v2
t1 / t2 = d1/d2 x v2/v1 = v2/v1 ( as d1 = d2 )
t1/t2 = v2 / v1 = v2/0.8 v2 = 1/0.8 = 1.25
Tyere and his two brothers decide to split the cost of a new CD. If the CD costs $12.75, how much did each brother pay?
Answer:
6 dollars
Step-by-step explanation:
12+12 =6
Please answer this pleease
Answer:
D
Step-by-step explanation:
it is 200 km north and 50 east from the airport meaning it is 250 km away from the airport 100west and 50 north meaning it is 130 km away from the airport 130 + 250 = 380 km. 380 km is closest to 400 so D.
(За + 2b – 7) - (4) — 10)
Answer:=3a+2b−21
Step-by-step explanation:
Let's simplify step-by-step.
3a+2b−7−4−10
=3a+2b+−7+−4+−10
Combine Like Terms:
=3a+2b+−7+−4+−10
=(3a)+(2b)+(−7+−4+−10)
=3a+2b+−21
The scale on a map is 2 cm = 25 miles. Dave measured the distance to the next town at 5 cm. How many miles away is the next town?
Answer: 62.5 miles
2cm / 25 miles = 5cm / x
Cross multiply
125 = 2x
x = 62.5 miles
16. On a scale drawing of an office space floor plan, 1 inch represents 3
feet. The length of the copier room measures 7 inches on the floor
plan. How many feet does that represent?
Answer:
7
Step-by-step explanation:irk
The number of feet that represents the length of the copier room measures 7 inches on the floor plan will be 21 feet.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
On a scale drawing of an office space floor plan, 1 inch represents 3 feet. Then the scale factor is given as,
Scale factor = 3 / 1
Scale factor = 3 feet per inches
The length of the copier room measures 7 inches. Then the number of feet that represents 7 inches is given as,
⇒ 7 x 3
⇒ 21 feet
The number of feet that represents the length of the copier room measures 7 inches on the floor plan will be 21 feet.
More about the dilation link is given below.
https://brainly.com/question/2856466
#SPJ5
Simplify.
I need this answered ASAP pleaseee.
I believe the answer is 4.
Step-by-step explanation:
Hope this helps!