I have two questions: What number should be removed from the list {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} so that the average of the remaining numbers is 6.1?

and:

Isabella must take four 100-point tests in her math class. Her goal is to achieve an average grade of at least 95 on the tests. Her first two test scores were 97 and 91. After seeing her score on the third test, she realized that she could still reach her goal. What is the lowest possible score she could have made on the third test?

If you answer, that would be very much appreciated!

You remove 5

Step-by-step explanation:

I can answer your first question

you have 11 numbers and need to remove 1 which makes the amount of numbers you use 10 so if you work backwards:

lets say x is the 10 numbers added up and you have to divide them by 10 to get 6.1 so we get

x/10 = 6.1  which equals x=61 so the 10 numbers added up equal up to 61.

With a bit of trial and error you get 1 + 2+3+4+6+7+8+9+10+11 =61 so you remove 5 !

Hope it helped you

first we know the speed from home to school is 8mph and from school to home is half that speed so 4 miles per hour

now,

from home to school it takes: m/8 hours

and from school to home m/4 hours

we can pass it to minutes multiplying by 60

so:

from home to school it takes: m*7.5 minutes

and from school to home m*15 minutes

and now the relations between these two amount of minutes is that takes 15 more from school to home so:

7.5m+17

Step-by-step explanation: