Answer:
320 liters
Step-by-step explanation:
Each tank = 40 liters
8 tanks = 40 × 8 = 320
Let x represent the number originally signed up.
.. 360/x -6 = 360/(x +3)
.. 360*(x +3) -6x(x +3) = 360x . . . . . multiply by the product of denominators
.. 360x +1080 -6x^2 -18x = 360x
.. x^2 +3x -180 = 0
.. (x +15)(x -12) = 0
Solutions are x = {-15, 12}
12 members went on the trip.
_____
The problem wording does not make clear whether the original number (12) or the number suggested by the bus company (15) went on the trip. It would be most reasonable for 15 to go, if the troop had people who were willing.
Answer:
50 quarters and 28 nickels
Step-by-step solution:
We have two variables we are solving for. We will call them Q for the number of quarters and N for the number of nickels.
We know that the total number of coins is equal to 78, and we know that the total amount the coins are worth is equal to $13.90. With this information, we can set up a system of equations:
Q + N = 78
0.25Q + 0.05N = 13.90
Now we can solve for either Q or N in the first equation and solve by substitution by plugging the value into the second equation. Let's solve for Q:
Q = 78 - N
Now plug in 78-N for Q:
0.25(78-N) + 0.05N = 13.90
Distribute and combine like terms:
19.50 - 0.25N + 0.05N = 13.90
19.50 - 0.20N = 13.90
-0.20N = -5.60
N = 28
Now we know that there are 28 nickels. We can plug this into one of the original equations to solve for Q:
Q + 28 = 78
Q = 50
There are 50 quarters. We can verify our answer by plugging the values for A and N into the other equation (optional step to check work):
0.25(50) + 0.05(28) = 13.90
12.5 + 1.40 = 13.9
13.9 = 13.9
Our answer is correct.
Answer:
Hi how are you doing today Jasmine
Hello! I can help you with this! There are 7 days in 1 week. For these questions, we’re gonna have to do some division and a bit of multiplication.
a. 1,750 is the amount gained over 1 week. Let’s divide. 1,750/7 is 250. If that is true, then the seafood restaurant received $250 of extra profit each day.
b. This is the loss of $150 per day. To find the answer to this problem, all you have to do is 150 * 7. When you do that, you get 1,050. The restaurant would’ve lost $1,050 for the week.
c. This is the lost of $490 in one week. Again, to find the answer to this, divide. 490/7 = 70. The average daily change was $70.
