Answer with explanation:
1.Mean of a Data set
2. Range = Maximum value in two conferences - Minimum value in two conference
= 12 - 0
=12
The mean number of wins for teams from the two conferences is 7.65.
The range in wins is 12.
Radio Barn : 200 + .15 x x = the weekly sales
Woofer: 300 + .10x
set them equal to find when they are them same
200 + .15x = 300 + .10x
subtract .10x from both sides
200 +.15x -.10x = 300 + .10x-.10x
200 +.05x = 300
subtract 200 from each side
200+.05x -200 = 300-200
.05x = 100
divide each side by .05
.05x/.05 = 100/.05
x =2000
The 2 jobs pay the same when the weekly sales are 2000 dollars
2. {x - 5 = -y}
{2y - 10 = -2x}
x-5 = -y
add 5 to each side
x = -y+5
multiply each side by -2
-2x = 2y -10
the 2 equations are the same, it has an infinite number of solutions
The system is dependent since the 2 equations are the same line
3. {2x = y - 7}
{4x - 2y - 14 = 0}
2x = y-7
subtract y-7 from each side
2x - (y-7) = 0
2x -y+7 =0
multiply by 2
4x -2y +14 =0
subtract the two equations
4x -2y +14 =0
4x - 2y - 14 = 0
---------------------------
28 = 0
since this cannot happen the lines will never cross ( parallel lines)
the system is inconsistent
Answer:
a. 78.6 square feet
b. $7.86
Step-by-step explanation:
a. This simply asks us to calculate the area of the 10 feet diameter pool
Formula for area of circle is ;
pi * r^2 = pi * d^2/4
so Area = 22/7 * 10^2/4 = 78.60 square feet
b. This will be the area of the blanket multiplied by the price per square foot of the blanket
Mathematically, we have that as;
78.60 * 0.1 = $7.86
Answer:
The terms are not equivalent
Step-by-step explanation:
-8 - 2(3+2n)+7n
Distribute the 2
-8 -6-4n+7n
Combine like terms
-14 +3n
That is not equal to -30 -13n
The terms are not equivalent
<h2>
Answer:</h2><h2>
They should travel 120 mils in one day for both rental agencies to cost the same amount to rent</h2>
Step-by-step explanation:
A rental car agency charges $30.00 per day plus per mile $0.15.
Let x be the number of miles travelled by car
Their total cost = 30 + (0.15x) ... (1)
Another rental car agency charges $36.00 per day plus $0.10 per mile
Their total cost = 36 + (0.10x) ... (2)
Equating (1) and (2), we get
30 + (0.15x) = 36 + (0.10x)
36 - 30 = 0.15x - 0.10x
6 = 0.05x
x = 120 miles
They should travel 120 mils in one day for both rental agencies to cost the same amount to rent
