Answer:
Step-by-step explanation:
Given
Required
Determine the area of a square with the same perimeter
First, calculate the perimeter (P) of the rectangle.
The perimeter of a square is:
Where L is the side length.
Substitute 36 for P
Make L the subject
The area of the square is:
Let A, B and C be the amount machines A, B and C, respectively, produce each hour alone.
With all three machines together produce 520 drinks each hour, we know that the addition of the amount that each produces each hour is equal to 520, that is.
Now, similarly, machines A and B produce together 320 drinks each hour, so the sum of the amounts A and B produce each hour is equal to 320, so:
If machine C produce 30 more drinks than B each hour, than the amount of B plus 30 will be the amount of C:
So, we got the system of equations:
To solve, notice that A + B is known, because of the second equation, so we can substitute A + B by 320 in the first equation:
Now, we can substitute C into the third equation and solve for B:
And, finally, we can substitute B into the second equation and solve for A:
Answers:
First box:
Second box:
Third box:
Fourth box:
The mean is equal for Group A and Group B.
<h2>Given </h2>Two groups of students were asked how far they lived from their school.
The table shows the distances in miles:
Group A (distance in miles) 1 1.5 3.03 3.2 2.8 1.5 1.8 2.5 2.2
Group B (distance in miles) 2 2.5 3.23 1.3 1.8 2.4 3 1.5 1.8
<h3>What is mean?</h3>The mean of any data set or observation is equal to the sum of all the observations and divided by the number of observations.
The formula used to calculate the mean is;
The mean of group A is;
The mean of group B is;
Hence, the mean is equal for Group A and Group B.
To know more about Mean click the link given below.