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
<h3>
Answer: 21.4 square meters</h3>
Work Shown:
A = area of the front triangular face
A = base*height/2
A = 2*1.7/2
A = 1.7
L = lateral area
L = (perimeter of the base)*(depth)
L = (2+2+2)*(3)
L = 18
SA = total surface area of a triangular prism
SA = 2*A+L
SA = 2*1.7+18
SA = 21.4 square meters
Answer:
ok so the answer is 13
Step-by-step explanation:
to solve you..
PEMDAS
PLEASE EXUSE MY DEAR AUNT SALLY
1-(-8)-12/-3
1-(-8)+4
1+8+4
9+4
13
!
HOPE THIS HELPED YA
