104 minutes all You have to do is add them both together
Answer:
no solutions
Step-by-step explanation:
The lines are parallel since they have the same slope
y = mx+b where m is the slope
They have different y intercepts (b)
The will never intersect so they have no solutions
Answer:
20 + d = 40
Step-by-step explanation:
It gives you 20 so you just say you want to add Donnie's age to equal 40. In math,
and/sum means add +
is means equals =
Answer:
P(t) = 200·0.95^t
Step-by-step explanation:
Each year, the population drops to 95% of its previous value. That is, the population is multiplied by 0.95 each year. Repeated multiplication is signified by an exponent. Here, that exponent is the number of years from today (t).
The population function can be written as ...
P(t) = 200·0.95^t
Let x be the number of months.
The first plan is 15 dollars sign up fee and 38 dollars per month. So the equation is 38x + 15.
The second plan is 78 dollars as sign up fee and 31 dollars per month. So the equation is 31x + 78.
We need find when x has the same value in both equations, so we do their equality:
38x + 15 = 31x + 78
Let's subtract 15 from both sides
38x + 15 = 31x + 78
38x + 15 - 15 = 31x + 78 - 15
38x = 31x + 63
Now let's subtract 31x from both sides to have the variables on a side and the numbers on side:
38x = 31x + 63
38x - 31x = 31x - 31x + 63
7x = 63
Divide both sides by 7 to have the variable x on a side and its value on the other:
(7x)/7 = 63/7
x = 9
So at month 9, the 2 plans will cost the same.
Let's check our answers, and let y be the cost:
y = 38x + 15 = 38*9 + 15 = 357
y = 31x + 78 = 31*9 + 78 = 357
Our answer has been approved.
Hope this helps! :D
