Answer: I think that the answer is B
Step-by-step explanation:
s = # of songs
y = total amount of money
$11 + $1(35) = y
Simplify the right side
$11 + $35 = y
Combine like terms
$46 = y
If he downloaded 35 songs, he would have ti pay $46
If he downloaded s amount of songs, he would have to pay $11 + $1s = y
Answer:
58 passengers
Step-by-step explanation:
Capacity of the cruise ship = 68 people
Minimum number for an excursion = 46 people
Maximum cost per person = $ 70
Let the additional passenger = y
y minimum =1
y maximum = 68- 46
= 22
y can be represented in the inequality below:
1 ≤ y ≤ 22
New ticket cost of excursion for every added passenger = (70-y)
Total passengers = (46+y)
Income (I) = (70-y) (46+y)
= 3220 + 70y -46y - y²
= 3220 +24y -y²------------------------------- (1)
To maximize the income function I (y) in equation (1), dI/dy =0 , and (1) becomes :
24-2y = 0
2y = 24
y =12
So the total number of passengers that maximizes income is :
= (46+y)
= (46+12
= 58 passengers
Answer:
<u>325 Hamburgers.</u>
Step-by-step explanation:
This may seem complicated at first due to us not knowing how much either hamburgers or cheeseburgers were sold, but we can easily set up an equation with variables and solve this using the numbers provided.
x = # of hamburgers sold.
x + 61 = # of cheeseburgers sold.
1) x + x + 61 = 711 (set both burgers equal to the total sold)
2) 2x + 61 = 711 (added common variables together)
3) 2x = 650 (negated the +61, subtracted it from both sides)
4) x = 325 (divided both sides by 2)
5) 711 - 325 = 386 (subtracted the x from the total number of burgers sold, to recieve the amount of cheeseburgers' tickets.
Thus,
Since there were fewer hamburgers sold, the smaller number (325) is the correct answer.
(Final Answer)
Cheeseburgers sold: 386
Hamburgers sold: 325
Total sold: 711