1. Two of your friends, Matt and Karen, both run to you to settle a dispute. They were working on a math problem, and got different answers. Wisely, you decide to look at their work to see if you can spot the source of confusion.
Matt
6 – 4(3 – 5)2 + 30 ÷ 5
6 – 4(–2)2 + 30 ÷ 5
6 – 4(4) + 30 ÷ 5
6 – 16 + 30 ÷ 5
−10 + 30 ÷ 5
20 ÷ 5
4
Karen
6 – 4(3 – 5)2 + 30 ÷ 5
6 – 4(–2)2 + 30 ÷ 5
6 – 4(−4) + 30 ÷ 5
6 + 16 + 30 ÷ 5
6 + 16 + 6
22 + 6
28
Explain to Matt and Karen who, if either, is correct, and identify errors that you find. Provide the correct manner to fix those solutions, and identify the correct answer. Use complete sentences.
6–4(3–5)2+30÷5
6–4(–2)2+30÷5
6–4(−4)+30÷5
6+16+30÷5
6+16+6
22+6
28
When I solved the problem I got the same
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Use complete sentences and show your work.
Shinkansen – 320km per hour
TGV – 89.44m per hour
Distance = speedxtime
1mi = 1609m
1km = 1000m
3600kmx1000 320000mx1mi 320000 198.88mi
1hourx1km 1hourx1609m 1609 1hour
89.44mx1mix3600seconds 321984 200.11mi
1secondx1609mx1hour 1609hour 1hour d = 198.88x2.5 distance traveled 497.2mi d = 200.11x2.5 distance traveled 500.28mi
Ellen’s train should travel faster than 198.88mph but slower than 200.11mph and in 2.5 hours Ellen’s train would have traveled more than 497.2mi but less than 500.28mi.
2. Beatriz is creating graphs for her city’s Parks Department. Beatriz is trying to persuade the Parks Department to put in more gazebos for shade. For a local park, Beatriz wants to demonstrate the attendance as it changes every week. She also wants to show the temperature changes per month. Sometimes temperatures reach below zero. Explain to Beatriz how to make the graphs correctly based on the data that she will collect and what labels, scales, and intervals each axis must have on each graph. Use complete sentences and support your reasoning. Feel free to generate sample data to help support your response.
Labels
Title x-axis y-axis
Scales
Intervals
1st graph
Labels
Title: Attendance every week x-axis: Weeks y-axis: People
Scales
Intervals x-axis: 0 to 5 by
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The highlighted red answers are the ones that are correct. The simplest way of navigating through this
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