Step-by-step explanation:
x+90+4x-75=180
add all the sides together and since its a triangle they equal to 180
Answer:
(1/2 ,3) or (0.5, 3) is the same
Step-by-step explanation:
The midpoint between (3,5) and (-2,1) would be:
Apply the formula:
x1+x2 / 2 , y1 + y2 / 2
= 3 + (-2) / 2, 5 + 1 /2
= 1/2, 6/2
= 1/2 ,3 or 0.5, 3 is the same
Hope this helped :3
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
The answer is D: 5p = 120
<span>3/30 = n/50
</span><span>1/10 = n/50
10n = 50
n = 50/10
n=5</span>
