Answer: 150 coins
Step-by-step explanation: let the number of captain Sparrow and the crew = c
The number of gold = g
This mean each person will get g/c
If there were four fewer pirates, then each person would get 10 more coins means
g/(c - 4) = g/ c+ 10
cg = (c-4)(g+10c) ....... (1)
However, if there were 50 fewer coins, then each person would get 5 fewer coins.
(g - 50)/c = g/c - 5
g - 50 = g - 5c
5c = 50
c = 10
Substitute c in equation 1
cg = (c-4)(g+10c) ....... (1)
10g = (10 - 4)(g + 10×10)
10g = 6× (g + 100)
10g = 6g + 600
4g = 600
g = 150 gold coin.
Therefore they dig up 150 gold coin
Answer:
8+6n
Step-by-step explanation:
First, distribute the 2 into the parenthesis.
2(6)+2(3n)-4
Then, multiply the numbers.
12+6n-4
Now add(subtract in this case) the common multiples.
12-4= 8
8+6n
Since you can no longer simplify the equation, this is the answer..
8+6n
Answer:
Hotdog: $3.00
Hamburger: $4.00
Step-by-step explanation:
For the first time that Bob buys food, we can make an equation to find how much a single hotdog and a single hamburger costs, where:
x = cost of a hotdog
y = cost of a hamburger
He bought 2 hotdogs and 1 hamburger for $10, so the equation for his first time buying food is:
2x + y = 10
For the second time buying food, he bought 1 hotdog and 3 hamburgers for $15, so his equation would be:
x + 3y = 15
To find the value for x and y we need to solve this system of equations using the two equations we just came up with. We can do this multiple ways, but I'll be demonstrating the substitution method.
Using the second equation, we can solve for x by simply subtracting 3y from both sides:
x = 15 - 3y
We can then insert this value of x into the first equation so that way we are only dealing with one variable to solve - y:
2(15-3y) + y = 10
Distribute out the 2 into the paratheses, combine like terms, and then solve for y:
30 - 6y + y = 10
30 - 5y = 10
-5y = -20
y = 4
This means the cost for one hamburger is $4. But we still need to find the price of one hotdog, so we can insert this value of y into the equation we came up with earlier for x, and then solve for x:
x = 15 - 3y
x = 15 - 3(4)
x = 15 - 12
x = 3
So the price of one hotdog is $3 and the price of one hamburger is $4. Hope this helps.
Given: KL is a tangent to the circle.
LM is another tangent to the circle.
We can use the tangent meeting at an external point theorem.
<em>Theorem</em>: <em>The tangent segments to a circle from an external point are equal.
</em>
Thus, we can say KL = LM, as they lie on a common circle, and are tangents to such circle.
4x - 2 = 3x + 3
4x - 3x = 3 + 2
x = 5
Since LM is 3x + 3, we can substitute the value of x to LM to render:
3(5) + 3 = 18
Thus, LM = KL = 18 units.
