Answer:
Marion bought 6 frog lures and 8 lizard fishing lures.
Step-by-step explanation:
Let
represent frog lures and
represent lizard lures.
The total packages Marion bought is

If she bought frog lures in packages of 4 and lizard lures in packages of 6 for a total of 72 lures, then

We make
the subject in equation 1 and put it into equation 2 to get;

We put equation 3 into equation 2 to get;


We expand the bracket to get;



We put
into equation 3 to get;


Therefore Marion bought 6 frog lures and 8 lizard fishing lures.
Answer:
4.19
Step-by-step explanation:
Find the mean:

Find the standard deviation:

Answer:
4 is in the hundredths 1 is in thousandths 9 is in the 10 thousandths
Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0 or (0,y))
For lines to be parallel, their slopes have to be the SAME.
The given line's slope is 5/3, so the parallel line's slope is also 5/3
y = 5/3x + b
To find "b", plug in the point (3,6) into the equation
y = 5/3x + b
6 = 5/3(3) + b
6 = 5 + b
1 = b
y = 5/3x + 1
A translation of 4 units down means subtract 4 from the y-coordinate.
A translation of 5 units right means add 5 to the x-coordinate.
The new polygon will have vertices
A'(-1, 1)
B'(-1, -2)
C'(3, -2)
D'(3, 2)