In order to solve this problem, the approach should be formulating equations such that they form a system of linear equations. Let's start by assigning variables. Let x be the number of homeruns made by Peter, and y be the number of homeruns made by Alice. Therefore,
x = 2(y - 6)
This is the equation for the relationship between Peter's and Alice's hits. The second equation would be the sum of their hits:
x + y = 18
These are the two independent equations in order to solve the two unknowns, x and y. Substituting the first equation into the second equation,
2(y - 6) + y = 18
2y - 12 + y = 18
3y = 18 + 12
3y = 30
y = 10
Using y=10 to the first equation:
x = 2(10 - 6)
x = 8
Therefore, Peter made 8 homeruns, while Alice made 10 homeruns for a total of 18.
Answer:
x = 1
Step-by-step explanation:
The reason the answer is one because, 1^2 = 1
and 1 - 1 = 0
Answer:
10 + 0.05m; m = 350 minutes
Bob's phone bill will be $27.50
Step-by-step explanation:
$10 + ($0.05 x 350 minutes) = $27.50
Answer:
81 million
Step-by-step explanation:
A = Pe^rt
Let's break this equation down.
A is the total you will have.
P is the starting value.
R is the rate
T is the time.
Let's find the rate first.
74000000 = 70000000e^7r
Divide each side by 70mil
74000000/70000000 = e^7r
Then take the ln() of each side.
ln(74000000/70000000) = 7r
0.0556 = 7r
r = 0.0079
Now we can find how many people will be there in 2010.
A = 70,000,000e^(19 * 0.0079)
A = 81336530.2373
Now we round to the nearest million, leaving us with 81 million.
