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
Answer:
B=16 ounces
C=24 ounces
B=1/0.75=133%
Step-by-step explanation:
we have that
A≡0.25B (25%), if A=4 ounces then B=4/0.25 = 16 ounces
C=1.5B (150%), if B=16 ounces then C=1.5*(16 ounces) = 24 ounces
D≡xB (?%), if D=12 ounces then x=12/16 = 0.75 ≡ 75%, but xB≡D ⇒ B≡D/x →
B≡12(1/0.75)= B=12*(1.333)→ B≅133%D
60 thousand is the value of 6 in 5,165,874
Answer:
x=1
y=-1/2
Step-by-step explanation:
x+2y=0....(1)
10y=-5.....(2)
From (2) we can find y.
y=-5/10
y=-1/2
Use that in (1)
x+2*(-1/2)=0
x-1=0
x=1
Answer:
Step-by-step explanation:
you have two supplementary angles,
both added up=180
7y+5y=12y
12y=180y=15
angle DBC=7y=15*7=105
