Answer:
The least number of coins that could have been stolen is 3,930.
Step-by-step explanation:
In the beginning, there are N coins to be distributed among 17 pirates, and we know that if we divide evenly these coins, there are 3 coins remaining.
Then we can write the total number of coins as a multiple of 17 plus 3.
N = 17*k + 3
where k is an integer.
After that, a pirate is killed, so now we have 16 pirates, and now there are 10 coins left, so now we can write N as a multiple of 16 plus 10:
N = 16*j + 10
where j is an integer.
Finally, having 15 pirates, the total number of coins can be divided evenly, then N is a multiple of 15
N = 15*m
where m is an integer.
So we have these 3 equations:
N = 17*k + 3
N = 16*j + 10
N = 15*m
So we can express equations like:
15*m = 16*j + 10
15*m = 17*k + 3
Where we need to find solutions such that both of these variables are integers.
For the first one we can write:
15*m - 16*j = 10
One way to do it, is to write this like a linear equation:
m = (16*j + 10)/15
Graph this, and find the pairs of points in the line that have bot integer values, or we can just find some values of j such that:
16*j + 10 is a multiple of 15.
For example, with j = 5 we have:
m = (16*5 + 10)/15 = 6
so j = 5 and m = 6 is a possible solution.
Now if we use m = 6 in the other equation:
15*m = 17*k + 3
we can see if k is also an integer:
k = (15*m - 3)/17
replacing m by 6:
k = (15*6 - 3)/17 = 5.1
This solution does not work.
Let's find others:
if j = 20 (at this point we already know that the possible values of j "jump" by 15 units, like 5 + 15 = 20) then:
m = (16*20 + 10)/15 = 22
Then:
j = 20 and m = 22 is another solution.
Same as before, let's use m = 22 in the equation for k:
k = (15*22 - 3)/17 = 19.2
Let's find another solution for m.
if j = 35
m = (16*35 + 10)/15 = 38
Using this value of m in the k equation we get:
k = (15*35 - 3)/17 = 33.4
Let's find another solution for m.
if we take j = 50 we get:
m = (15*50 + 10)/15 = 54
Using this in the k equation we get:
k = (15*54 - 3)/17 = 47.5
Eventually, for j = 5 + 15*16 = 245 we get: (arrived by iteration, just try each time using the previous value of j plus 15)
m = (16*245 + 10)/15 = 262
replacing this in the k equation we can find:
k = (15*262 - 3)/17 = 231.
So the first solution is:
j = 245, m = 262, k = 231
Then:
N = 262*15 = 3,930
The least number of coins that could have been stolen is 3,930.
29x-7y=-17 solve for x
Answer:
[tex]x= -\frac{17}{29} +\frac{7y}{29}[/tex]
Step-by-step explanation:
[tex]29x-7y=-17[/tex]
[tex]x= -7y/29 + -17/29[/tex] Divide every number by x except
what is the value of the function when X equals four? on a coordinate plane.
Solution :
From the given graph the x-intercept is 2 and y-intercept is -1 .
So, equation of line in intercept form is :
[tex]\dfrac{x}{2} + \dfrac{y}{-1} = 1\\\\x - 2y = 2[/tex]
[tex]y = \dfrac{x-2}{2}[/tex]
Now, putting x = 4 in above equation, we get :
[tex]y = \dfrac{4-2}{2}\\\\y = 1[/tex]
Therefore, the value of function at x =4 is 1 .
le A right triangle has a hypotenuse of 10m and a leg of 5m. What is the length of the second leg? Round to the nearest tenth.
Answer:
Length of 2nd leg is 8.7m.
Step-by-step explanation:
a^2 + b^2 = c^2
Substitute.
5^2 + b^2 = 10^2
Solve.
25 + b^2 = 100
100 - 25 = 75
sqrt(75) = 8.66
Round.
8.66 ---> 8.7.
Plz help me well mark brainliest if correct.....
.......????
Answer:
C) The mean is about 100.
Step-by-step explanation:
We see that the best fit line (out of the options listed) would be y=100. The mean can also be algebraically calculated with the following equation:
Let [tex]a[/tex] be the mean (average) of the values:
[tex]a=\frac{75+50+100+125+75+150}{6}=95.8\overline{3}[/tex], which is closest to answer choice C) The mean is about 100.
I need to know where to put the lines
Answer:
put them on the points
Step-by-step explanation:
Solve for X
8 + x = 15
Plz help me well mark brainliest if correct
Answer:
387 is the answar because number of milk sold on monday is 212 and in tuesday 175
212+175=387
Answer:
387
Step-by-step explanation:
The addition of milk sold on monday with milk sold on tuesday
which is
212+175=387
Estimate the difference of the decimals below by rounding to the nearest whole number. 23.827
- 1 .218
Step-by-step explanation:
The key rule is: to round up the number one digit to the left has to be the number 5 or more, else it rounds down.
23.827 rounds up because the 8 is more than 5.
1.218 rounds down because 2 is less than 5.
24-1= 23
A jacket that normally sells for $160 is on sale for 25% off. What is the sale price of the jacket?
○ $40
○ $120
○ $135
Helpppppppppppppppppp
Answer: tbh i think 20
Step-by-step explanation:
Find the first two equations that are needed to solve the following story problem: How many milliliters of a 5% acid solution and how many milliliters of a 17% acid solution must be mixed to obtain 60 mL of a 13% acid solution?
Answer:
Step-by-step explanation:
saw it on chegg
.05x+.17y=.13
x+y=60
The two correct equations are "[tex]0.05 x+0.17 y=0.13[/tex] and [tex]x+y=60[/tex]". A further solution is provided below.
According to the question,
Let,
Quantity of 5% acid solution will be "x".Quantity of 17% acid solution will be "y".Given total acid solution,
= 60 mL
then,
→ [tex]x+y = 60[/tex]...(equation 1)
We know that the concentration of mixture = 13%
hence,
→ [tex]5 \ percent \ of \ x + 17 \ percent \ of \ y =13 \ percent (x+y)[/tex]
or,
→ [tex]0.05x+0.17y=0.13(60)[/tex]
Thus the above answer is correct.
Learn more:
https://brainly.com/question/259604
In which quadrant is the value of the x coordinate of a point on the unit circle always greater than the y coordinate
A. First quadrant
B. Second quadrant
C.third quadrant
D. Fourth quadrant
The correct option is second quadrant.
what is unit circle?A circle having a radius and length of one is known as a unit circle. However, it frequently includes additional bells and whistles. Right triangle relationships known as sine, cosine, and tangent can be defined on a unit circle. These correlations explain the connections between the sides and angles of a right triangle.
Given:
x coordinate of a point on the unit circle always greater than the y coordinate.
So, We know that in the second quadrant of unit circle case has x coordinate of a point on the unit circle always greater than the y coordinate.
Hence, the correct option is second quadrant.
Learn more about unit circle here:
https://brainly.com/question/11987349
#SPJ6
Find the area of the shape shown below...
Answer:
[tex]240~sq~units[/tex]-----------------
[tex]1/2*base*height+base*height[/tex][tex]=1/2*20*4+20*10[/tex][tex]=40+200[/tex][tex]= 240[/tex]----------------------
hope it helps...
have a great day!!
Pls help I’ll brainlest
Answer:
Choice B
Step-by-step explanation:
7.1×10⁵ = 710,000
Answer:
The answer is B. 7.1 times 10^5.
Step-by-step explanation:
To convert a number to scientific notation, place or move the decimal point of a number until the coefficient of the number is greater than 1 and less than 10. Record down the coefficient and count the number of steps the decimal point was moved. The number of steps moved is taken as the exponent.
In 710,000, the decimal is moved to the left 5 times. Thus, causing 710,000 to written as 7.1 times 10^5 in scientific notation.
Suppose a basketball player is an excellent free throw shooter and makes 90% of his free throws (i.e., he has a 90% chance of making a single free throw). Assume that free throw shots are independent of one another. Find the probability that the player misses three consecutive free throws. 0.729 0.271 0.001 0.999
Answer:
The answer is "0.001 ".
Step-by-step explanation:
In this question, the shot value is missing So its solution can be defined a follows:
let
shot value= 3
The chances of missing a free takeoff [tex]= 1- 0.90 = 0.1[/tex]
All three free throws are probably gone[tex]= 0.1^3 = 0.001[/tex]
please help me i really need help[ please
Answer:
70.69
Step-by-step explanation:
Area = [tex]\pi r (r + \sqrt{h^2+r^2} )[/tex]
Area = [tex]\pi (2.5) (2.5 + \sqrt{(6)^2+(2.5)^2} )[/tex]
Area = 70.68583471
Area = 70.69
I need the answer pls HELP
Answer:
14.526
Step-by-step explanation:
10.348+4.178=14.526
Answer:
The width of both boxes combined should be
10.348 + 4.178 = 14.526in
La aparición de la escritura mara el fin de la prehistoria y el inicio de la historia
verdadero o falso
Answer:
Verdadero
Step-by-step explanation:
Find the length of side y.
y=_ft
Answer:
y = 5.66388 feet, (round that to whatever you need to round to)
Step-by-step explanation:
cos (51) = y/9
cos(51)*9=
y = 5.66388 feet
A food company puts exactly 10 sliced carrots in each bag of frozen vegetables. Let b represent the number of bags of frozen vegetables and c represent the total number of sliced carrots. The table shows the relationship between b and c. Which equation below represents the relationship between b and c?
Answer:
c = 10*b
Step-by-step explanation:
We know that in each bag, we have exactly 10 sliced carrots.
so if b represents the number of bags, and c the number of sliced carrots, for each one of the b bags we will have 10 sliced carrots, then for b bags, we have b times 10 carrots:
c = 10*b
So for example, if we have one bag, b = 1
c = 10*1 = 10
So in one bag, there are 10 carrots.
if instead, we have 3 bags, b = 3
c = 10*3 = 30
in 3 bags we have 30 carrots.
Then the equation that represents the relationship between b and c is:
c = 10*b
or
b = c/10
PLEASE ANSWER ASAP!!! I WILL MAKE YOU BRAINLIST Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
15
Step-by-step explanation:
a^2 + b^2 = c^2
20^2 +b^2 = 25^2
400 + b^2 = 625
-400 -400
b^2 = 225
b = √225
b = 15
Tienes $20 para gastar en la tarifa del taxi. El viaje cuesta
$5 más $2.50 por kilómetro.
Escribe una desigualdad para determinar la distancia
en kilómetros, d, que podrías recorrer por $20.
¿Cuál es la distancia máxima, en kilómetros, que
puedes recorrer por $20?
kilómetros.
Answer:
6 kilometers serian15 mas 5
Can anyone solve this? I'm kind of stuck! Thank you!
Answer:
B
Step-by-step explanation:
0.25 (2d + 1) = 0.25(2d) + 0.25(1)
= 0.50d + 0.25
Answer:
The expression 0.25(2d+1) is equivalent
equivalent go 0.50d +0.25.
Step-by-step explanation:
If yoy simplify the expression if will be 0.5d+0.25
Karen and Caroline saved up a total of $61. They decided to spend $25 on candy and $17 on ice cream. How much money did Karen and Caroline have left?
Answer:
$19
Step-by-step explanation:
$61-$25=$36-$17=$19
GWF maintains a portfolio of 1000 shares of firm A worth $15/share and 3000 shares of firm B worth $10/share. You expect a return of 4% for stock A and a return of 9% for stock B. Calculate the Portfolio value.
Answer:
zwkwzdhkjzjjhhdkjhzkhjhjhdhkjzhkjhkzj
Step-by-step explanation:
For a is 1000 ×15= 15000. Then 15000 ×4%+15000=15600
For b 10 ×3000 = 30000 the. 30000×9%+30000=32700. 2700 +600= 3300 return total value
help it's due tomorrow
answer: 72
wordswordswords
Can someone help me please
9514 1404 393
Answer:
24.5 units
Step-by-step explanation:
The relationship of interest here is that the centroid (intersection of medians) divides each median into parts in the ratio 1 : 2. That is, the long segment is twice the length of the short segment, and the short segment is 1/3 of the total length. Of course, the median meets the side of the triangle at the midpoint of the side.
The desired perimeter is ...
P = CF +FX + XC
P = (1/3)YF + (1/2)XZ +(2)CE
P = (1/3)(21) +(1/2)(15) +(2)(5) = 7 +7.5 +10
P = 24.5 . . . . units
The perimeter of ΔCFX is 24.5 units.
You are the manager of a movie theater, and you are
analyzing attendance data from last weekend. On
Friday evening, 285 people come to see a new
animated movie. On Saturday evening, 355 people
come to see the same movie.
What is the approximate percent increase in
attendance?
Answer:
total number of people on Friday = 285
total number of people on Saturday = 355
total increment = 355-285 = 70
total increase percentage = 70÷285*100
= 24.56%
hope it helps!
What is diameter d in meters if the distance around the track is 400 meters round your answer to the nearest tenth
Find the area of the composite figure will give extra 100 points out if answer is right and brainlyst
Answer:
Decompose the figure into two rectangles and add the areas.
Find the area of the entire rectangle and of the removed corner and subtract the areas.
Decompose the figure into three rectangles and add the areas.
Step-by-step explanation:
With all of these you can actually calculate the area of the composite figure, some of them are more easy and efficient than the other, for example dividing the composite area into three rectangles is not very efficient but will do the job, and the one where you decompose the area into two rectangles would be the best one, as well as the one where you find the area of the larger rectangle and the subtract from that the rectangle that is taken off in the right corner.