The first equation has to be the sum of hotdogs and hamburgers. Since a total of 300 <span>hamburgers and hotdogs was sold, the first equation is:
h+d=300
Now, the second equation is about the money. They say that EACH hamburger cost $2 and each hotdog cost $1. And, the total amount of money made was $420. So the second equation is:
2h+d=420
SO, overall, the system of equations is this:
h+d=300
2h+d=420
(option A is the answer)</span>
Yes, as x grows by 1 y grows by -2 (or decreases by 2!)
5/11 is a fraction, so it is for sure a rational number and a real number.
Since it is a fraction, it is NOT irrational (which means "not rational" or "not a fraction).
It is NOT an integer, whole number, or natural number, becuase it is only a piece of a whole. 5/11 ≈ 0.454545..., and intergers, whole numbers, and natural numbers don't involve decimals.
Answer:
see below
Step-by-step explanation:
The equation for half life is
n = no e ^ (-kt)
Where no is the initial amount of a substance , k is the constant of decay and t is the time
no = 9.8
1/2 of that amount is 4.9 so n = 4.9 and t = 100 years
4.9 = 9.8 e^ (-k 100)
Divide each side by 9.8
1/2 = e ^ -100k
Take the natural log of each side
ln(1/2) = ln(e^(-100k))
ln(1/2) = -100k
Divide each side by -100
-ln(.5)/100 = k
Our equation in years is
n = 9.8 e ^ (ln.5)/100 t)
Approximating ln(.5)/100 =-.006931472
n = 9.8 e^(-.006931472 t) when t is in years
Now changing to days
100 years = 100*365 days/year
36500 days
Substituting this in for t
4.9 = 9.8 e^ (-k 36500)
Take the natural log of each side
ln(1/2) = ln(e^(-36500k))
ln(1/2) = -36500k
Divide each side by -100
-ln(.5)/36500 = k
Our equation in years is
n = 9.8 e ^ (ln.5)/36500 d)
Approximating ln(.5)/365=-.00001899
n = 9.8 e^(-.00001899 d) when d is in days
Answer:
(10, –1)
Step-by-step explanation:
[1]XXXX3y=−12x+2
[2]XXXXy=−x+9
While it is not technically necessary, I find it easier to clear the fractions before actually beginning; so multiplying [1] by 2
[3]XXXX6y=−x+4
Substituting (from [2]) (−x+9) for y in [3]
[4]XXXX6(−x+9)=−x+4
Simplifying
[5]XXXX−6x+54=−x+4
[6]XXXX5x=50
[7]XXXXx=10
Substituting (from [7]) 10 for x in [2]
[8]XXXXy=−10+9=−1
