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GuDViN [60]
3 years ago
12

A community activist is gathering data to support an initiative to have a traffic light constructed at a busy intersection near

a : On average, 100 vehicles pass through the intersection daily during the time when students are traveling to school. The initia the traffic light is based on promoting safety, as supporters feel vehicles pass through the intersection at dangerously high sp The activist wants to know the average speed at which vehicles pass through the intersection during this critical time. He rand picked 20 vehicles during the time when students are traveling to school, assuming that these 20 vehicles accurately represer vehicles that pass through the intersection during the critical time. He recorded their speed as they passed through the inters with a radar speed gun. The speeds collected, given in miles per hour, are shown in the table below. 32 20 41 38 35 28 25 18 30 27 3115 35 37 3228 25 33 32 30 Can the approximate speed for all of the cars that pass through the intersection during this critical time be calculated from the data? If so, calculate it. Non-integer answers should be rounded to the nearest tenth. If no assumption can be made, type "0" box. The approximate speed for all of the cars that pass through the intersection during this critical time is miles per hour
Mathematics
1 answer:
Arlecino [84]3 years ago
8 0

Answer: 29.6

Step-by-step explanation:

i got it right

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A music store sold a total of 27 used trumpets and clarinets in one month. Trumpets cost $149 and clarinets cost $99. If total s
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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

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Now you have a verified answer: they sold 16 clarinets
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