Nam worked on a job for 10 days. On each of the last 2 days, he worked 2 hours more than the mean number of hours he worked per day during the first 8 days. If he worked 69 hours in all, how many hours did he work during the last 2 days together?
mean number of hours ---- x
hours worked the first 8 days = 8x
hours worked the last 2 days = 2(x+2)
8x + 2(x+2) = 69
10x = 65
x = 6.5
So the last 2 days he worked 2(6.5+2) = 17 hours
check: hours worked the first 8 days = 8x = 8(6.5) = 52
and 52+17 = 69 hours
mean number of hours = 69/10 = 6.9 per day
for 10 days = 69 hrs
I need help. I can't seem to focus on my benchmark.
I understand how you feel. Staying focused can be a challenge, especially when we have so many distractions around us. Here are some tips that might help:
1. Find a quiet and comfortable space to work. Make sure it is free from distractions such as TV, loud noises, and people.
2. Set specific and achievable goals for the day. Break your benchmark into smaller, more manageable tasks, and set a timeframe for completing each task. This makes it less overwhelming and helps you to stay focused.
3. Take regular breaks. It's essential to take breaks and give your mind some time to rest. Try to take a break every 30-45 minutes and stretch your legs, go outside, or do something else that relaxes you.
4. Avoid multitasking. Doing too many things at once can be stressful and lead to burnout. Instead, try focusing on one task at a time.
5. Use tools that help you stay organized. For example, set reminders on your phone, use a planner, or create a to-do list.
Remember that everyone has days where they find it harder to focus. Don't get discouraged and keep trying. With practice and patience, you'll develop better focus and concentration.
Thanks. Are benchmarks for a grade or does it vary?
Benchmarks may vary depending on the type of assessment or the grade level. In education, a benchmark typically refers to a specific skill or knowledge area that students are expected to master by a certain point in their academic career. Benchmarks can be used to guide curriculum and instruction, monitor student progress, and assess learning outcomes.
For instance, some schools and districts use benchmark assessments as a way to measure student progress and adjust their instruction accordingly. Benchmark assessments may be given at regular intervals throughout the school year and can cover various subjects, such as reading, math, and science. These assessments help teachers evaluate student performance against established grade-level standards and identify areas where students may need additional support.
In conclusion, the specific purpose and format of benchmarks can vary depending on the context. However, they generally serve as a guide to help students and teachers track progress towards specific learning goals.