n, n + 1, n + 2, n + 3 - four consecutive integers
-142 - the sum
The equation:
n + (n + 1) + (n + 2) + (n + 3) = -142
n + n + 1 + n + 2 + n + 3 = -142
4n + 6 = -142 |subtract 6 from both sides
4n = -148 |divide both sides by 4
n = -37
n + 1 = -37 + 1 = -36
n + 2 = -37 + 2 = -35
n + 3 = -37 + 3 = -34
Answer: -37, -36, -35, -34.
Answer:
At least 1.72 miles per day.
Step-by-step explanation:
Given: Goal of running is at least 50 miles in a month.
Andrea have already run 7 miles.
Days left in the month is 25.
As given, Andrea have already run 7 miles.
∴ Andrea need to run this month= 
Days remaining this month is 25.
Now, finding miles need to run each day to meet her goal.
Miles need to run each day= 
⇒ Miles need to run each day= 
∴ Andrea need to run at least 1.72 miles to meet her goal this month.
Answer: x
>
50
Step-by-step explanation:
To "rationalize the denominator" is another way to say, getting rid of that pesky radical at the bottom.
we'll simply start by multiplying top and bottom by the "conjugate" of the denominator, recall difference of squares, anyhow, let's do so
Answer:
This is an "Experiment" type of study
Step-by-step explanation:
Researchers use various methods or techniques to conduct research and draw conclusions from it. Some of these methods are given below
1. Experiment
2. Observational study
3. Anecdotal evidence
1. Experiment: In this type of study, researchers have control over their setup and they can give directions or apply any treatment on their subjects.
2. Observational study: In this type of study, researchers cannot give directions or apply any treatment on their subjects but rather they can only observe what is going on.
3. Anecdotal evidence: Also refers to experience and can be defined as personal experience based on something.
The study that we are given is clearly an example of "experiment" since half of the participants were to told walk 2 miles a day for 6 weeks. The researchers have control over their subjects in this case and they gave directions to their subjects to do this and that.
This could have been an observational study if researchers had selected 10 people who walked 2 miles a day for 6 weeks and 10 people who did not walk 2 miles a day for 6 weeks and simply measured their blood pressure and come to a conclusion. This way, it would have been a case of observational study.