Answer:
x = -5
y = -5
Step-by-step explanation:
If you multiply the top equation by negative 2, you can add it to the bottom equation and cancel out the x:
-2(-x + 5y = -20) --> 2x - 10y = 40
Add this to the bottom equation top to bottom:
2x - 10y = 40
-2x + 4y = -10
You get:
-6y = 30
Then solve for y:
y = -5
Plug this back in for either equation and solve for x:
-x + 5(-5) = -20
-x -25 = -20
-x = 5
x = -5
Your answers are:
x = -5
y = -5
We can think of this as an equality
5 Lawns = 8 Hours
If she needs 40 hours, you can multiply 8 hours by 5 to get 40, but now it's not balanced. So, you need to multiply 5 to the other side too so:
5 x (5) = 8 x (5)
Therefore she mows 25 Lawns in 40 Hours
P(A) = P(8) + P(9) + P(10) = 3/10 so P(A complement) = 1 - P(A) = 1 - 3/10 = 7/10 - D
Answer:
It will take 4.84 years
Step-by-step explanation:
The initial amount that Matt invested was $1669. It means that principal is
P = 1669
It was compounded 12 times per year. So
n = 12
The rate at which the principal was compounded is 2%. So
r = 2/100 = 0.02
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years.
A = 1,844.38
Therefore
1,844.38 = 1669(1+0.02/12)^(12×t)
1,844.38/1669 = (1.0017)^(12t)
1.1051 = (1.0017)^(12t)
Taking log to base 10 of both sides, it becomes
Log 1.1051 = log 1.0017^(12t)
Log 1.1051 = 12tlog 1.0017
0.043 = 0.00074 × 12t
0.043 = 0.00888t
t = 0.043/0.00888
t = 4.84 years
According to Greg himself (probably a master at pies) says perfect cherry pies have a ratio of 240 cherries to 3 pies. First, we need to divide 240 cherries by 3 pies to find out how many cherries are in one pie.
240 / 3 = 80
Then multiply by 9 to get your answer.
9 * 80 = 720
