Answer:
14.784
Step-by-step explanation:
Answer:
-16
Step-by-step explanation:
x = -3 is less than -2, so you should use the first equation 5x-1
thus, 5(-3)-1 = -16
Answer:
<em>He bought 6 hotdogs and 2 drinks</em>
Step-by-step explanation:
<u>System of Equations</u>
Kevin and his children went into a restaurant and bought $31.50 worth of hotdogs and drinks. Each hotdog costs $4.50 and each drink costs $2.25.
To solve the system of equations, we'll call the variables:
x = number of hotdogs
y = number of drinks
The first condition yields the equation:
4.50x + 2.25y = 31.50 [1]
It's also known he bought 3 times as many hotdogs as drinks, thus:
x = 3y [2}
Substituting [2] in [1]:
4.50(3y) + 2.25y = 31.50
Operating:
13.5y + 2.25y = 31.50
15.75y = 31.50
y = 31.50/15.75
y = 2
And
x = 3*2 = 6
He bought 6 hotdogs and 2 drinks
Since ln(x) is the inverse of e^x and we want to find out when P(x)=1000, we will substitute P(x) by 1000 and then solve for x days.
1600e^0.3x = 1000
Divide 600 for both sides you will get:
5/3 = e^0.3x
Multiply ( ln ) for both sides and then divide by 0.3.
(ln 5/3)/(0.3) = x
x = 1.7
So there will be 1000 flies in approximately 1.7 days
