Given:
Area of rectangle = 
Width of the rectangle is equal to the greatest common monomial factor of
.
To find:
Length and width of the rectangle.
Solution:
Width of the rectangle is equal to the greatest common monomial factor of
is



Now,

So, width of the rectangle is
.
Area of rectangle is

Taking out GCF, we get

We know that, area of a rectangle is the product of its length and width.
Since, width of the rectangle is
, therefore length of the rectangle is
.
Answer:
Jamie should have reversed the inequality when using the division property of inequality.
Step-by-step explanation:
Jamie wrote
500 − 30x ≥ 200
Subtract 500 from both sides
500-500-30x ≥ 200-500
-30x ≥ -300
Divide both sides by -30
x ≥ 10
Instead of reversing the inequality when using the division property of inequality
500 − 30x ≥ 200
Subtract 500 from both sides
500-500-30x ≥ 200-500
-30x ≥ -300
Divide both sides by -30
x <or= 10
Answer:
The Median should be 89.5
And the mean should be 69.75
I hope that helped
Answer: height = 17.5cm
Step-by-step explanation: Peter mixes blue and yellow paint in the ratio 2:3, which means:


x = 12.6L
The container is full with the two paints, so total volume:
V = 12.6 + 8.4
V = 21L
Knowing that 1L = 1dm³ and sides of cuboid is measure in cm:
V = 21dm³ = 21000cm³
Volume of a cuboid is calculated as:
V = width*length*height
Height of the container is
height = 
height = 
height = 17.5cm
The height of the container is 17.5cm.