Answer:
m = 30, b = 20
Step-by-step explanation:
1. The equation is written in slope-intercept form, so it follows the following equation: y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = slope.
2. As you can see, 30 is the value that took the place of m, and 20 is the value that took the place of b.
Therefore, m is 30 and b is 20.
Answer:
1. 30
Step-by-step explanation:
First, place the numbers from least to greatest.
11,13,23,37,45,58
Then, find the middle number (or two middle numbers).
In this case, the middle numbers are 23 and 37.
Third, we find the mean of these numbers.
23+37=60
60/2=30
So your answer is 30.
Repeat this method for the other problems.
Answer:
480m
Step-by-step explanation:
First we have to find the perimeter of the field.
We know that the area is 144m and that the field is a square.
Since a squares sides are all equal, we can do 
, which is 12m.
So, one side of the field is 12m; now we just find the perimeter which is easy since its a square. 12*4=48m
If Andrea walked around it 10 times, then we just multiply the perimeter by 10
48*10=480m
Angle Q and angle S equal 61
Answer:
11 hours
Step-by-step explanation:
Setting up a system of equations and using the substitution method will give you the number of hours used by each tap. Let a = time for tap A and b = time for tap B:
a + b = 12 (A and B fill a tank in 12 hours)
a = b - 10 (tap A takes 10 hours less than tap B)
Substitute 'b - 10' for 'a' in the first equation:
b - 10 + b = 12
Combine like terms: 2b - 10 = 12
Add 10 to both sides: 2b - 10 + 10 = 12 + 10 or 2b = 22
Divide by 2: 2b/2 = 22/2
Solve for b: b = 11 hours
