Answer:
3x + 2y = 16
x = 2 , y = 5
Step-by-step explanation:
Given that George bought x quarts at $3.00 per quart & y quarts at $2.00 per quart and he bought 7 quarts for $16.00
Considering the total cost
3x + 2y = 16
For the cost of each
x + y = 7
solving the 2 equations simultaneously be substitution
x = 7 - y
3(7 - y) + 2y = 16
21 - 3y + 2y = 16
-3y + 2y = 16 - 21
-y = - 5
Divide both sides by -1
y = 5
x = 7 -y
x = 7 - 5
= 2
Data is collected on the types of vehicles
this is cross sectional data
Time is not relavant for this data and hence cannot be time series data.
b)
from the given information, the variable is type of vehicle which is categorical data
c)
this data is only about the more frequent vehicles the chain cannot ignore the vehicles which are not parked
Answer:
b
Step-by-step explanation:
because the 1 is negative
To show that the diagonals of square PQRS are congruent is to show that they are equal.
|PR| = sqrt((7 - (-4))^2 + (-5 - 0)^2) = sqrt(11^2 + (-5)^2) = sqrt(146)
|QS| = sqrt((-1 - 4)^2 + (-8 - 3)^2) = sqrt((-5)^2 + (-11)^2) = sqrt(146)
To show that they are perpendicular, then the product of their slopes is -1.
slope of |PR| = (-5 - 0)/(7 - (-4)) = -5/11
slope of |QS| = (-8 - 3)/(-1 - 4) = -11/-5 = 11/5
The product of their slopes = -5/11 * 11/5 = -1
To show that they are bisectors is to show that their midpoints are at the same point.
Midpoint of |PR| = ((7 - 4))/2, (-5 + 0)/2) = (3/2, -5/2)
Midpoint of |QS| = ((-1 + 4)/2, (3 - 8)/2) = (3/2, -5/2)
