Answer:
y = 4.75x + 4
Step-by-step explanation:
it would be $4.75 for each game and you would only pay for shows once
The reciprocal of a given fraction is obtained by flipping the elements of the fraction. This means that the current numerator becomes the denominator of the reciprocal and the current denominator becomes the new numerator. Thus, for the given fraction, the reciprocal is 9/7.
Answer:
P= 7/9 miles
A= (7/18) miles²
Step-by-step explanation:
Length 'l' = (1/6) mile
Width 'w'= (2/9) mile
Perimeter 'P' is given by:
'P' = 2l + 2w => 2(1/6) + 2(2/9)
P= 7/9 miles
Area 'A' is given by:
A= l x w =(1/6) x (2/9) = (7/18) miles²
Answer:
7,700
Step-by-step explanation:
-175 x 6 = -1,050
-1,050 + 8,750 = 7,700
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
