Answer:
<h2>
<em><u>16h2</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u>4h</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u>42</u></em></h2>
Step-by-step explanation:
(4h + 6)(4h − 7)
= 4h(4h - 7) + 6(4h-7)
= 16h2 - 28h + 24h - 42
= <em><u>16h2 - 4h - 42 (Ans)</u></em>
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:
the cat weighs 21 pounds.
the dog weighs 43 pounds
Step-by-step explanation:
dog = 3x-20 = x + 22
cat = x
3x-20 = x+22
3x = x+42 (add 20 to both sides)
2x = 42 (subtract x from both sides)
x = 21
Answer:
1.25
Step-by-step explanation:
20 ounces would be 1.25 pounds.
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