Answer: 16
Solution:
1) Use letters to identify the variables:
Number of trumpets: t
Number of clarinets: c
2) Translate each statement into algebraic (mathematical) language.
2.1) Sold a total of 27 used trumpets and clarinets
=> t + c = 27
2.2) Trumpets cost $149 and clarinets cost $99
Total cost of the trumpets: 149t
Total cost of clarinets: 99c
Total cost = 149t + 99c
2.3) Total sales were $3223
=> 149t + 99c = 3223.
3) State the system of equations:
Equation (1) t + c = 27
Equation (2) 149t + 99c = 3223
4) Solve the system of equations:
4.1) Multiply equation 1 by 149:
=> 149t + 149c = 4023
4.2) Subtract the equation (2) from the equation obtained in 4.1
=> 149c - 99c = 4023 - 3223
=> 50c = 800
=> c = 800 / 50 = 16
5) Verify the solution:
From equation (1) t = 27 - 16 = 11
Total cost = 149*11 + 99*16 = 3223
Now you have a verified answer: they sold 16 clarinets
9514 1404 393
Answer:
(x, y) → (-∞, -∞), (+∞, +∞)
Step-by-step explanation:
The expression is of odd degree with a positive leading coefficient. It will have a generally upward slope (/). That is, the sign of f(x) will match the sign of x for large-magnitude values of x:
x → -∞, f(x) → -∞
x → ∞, f(x) → ∞
Answer:
They'll be able to get 34 bottles from the containers.
Step-by-step explanation:
Since the bottles are cylindrical we can calculate their volume by using the following formula:
V = base_area*h
V = \pi*(r^2)*h
r = d/2 = 4/2 = 2 inches
V = 3.14*(2^2)*5 = 3.14*4*5
V = 3.14*20 = 62.8 inches^3
In order to know how many full bottles the players will get we need to divide the total volume of the containers, which is given by the sum of the volume of each container, and divide it by the volume of each bottle. We have:
bottles = (345*pi + 345*pi)/62.8 = 690*pi/62.8 = 2,166.6/62.8 = 34.5
Since the problem wants the amount of full bottles we only take the integer part, so they will be able to get 34 bottles from the containers.
I think it's A.cody ate two-thirds of the apple pie
Answer:
C.) 10c 1800+15c
Step-by-step explanation:
The cost of daily operation for the business is $1,800/day, and $10/cake made. To put this into an equation, put the expenses on one side and what you're trying to make a profit off of on the other. Then solve for c.
