Answer:
32 miles per gallon.
Step-by-step explanation:
We are supposed to find unit rate for the given scenario.
144 miles on 4.5 gallons.
To find unit rate, we will divide 144 by 4.5 as:
Therefore, unit rate for our given situation is 32 miles per gallon.
B) Which container should be used to fit a dozen film containers with the least amount of wasted space? Explain your reasoning.
At work you get a list of package sizes. Your store has four box sizes that look like they might work. The sizes are given in the form l x w x h. They are 3 in. x 2 in. x 5 in., 4 in. x 3in. x 2 in., 5 in. x 6 in. x 5 in., and 3 in. x 2 in. x 3 in.
Answer:
(a)18.85 Cubic Inches
(b)The box with dimensions of 4 in. x 3in. x 2 in.
Step-by-step explanation:
Part A
Volume of the 12 Containers
Height =2 Inches
Diameter=1 Inch
Radius=Diameter/2=1/2=0.5 Inch
Volume of a cylinder
Volume of the 12 Containers
Part B
To determine the container which should be used, we first determine the volume of the available boxes.
Volume of the boxes
Volume of box with dimension 3 in. x 2 in. x 5 in.=3X2X5=30 Cubic Inches
Volume of box with dimension 4 in. x 3in. x 2 in.=4X3X2=24 Cubic Inches
Volume of box with dimension 5 in. x 6 in. x 5 in.=5X6X5=150 Cubic Inches
Volume of box with dimension 3 in. x 2 in. x 3 in. =3X2X3=18 Cubic Inches
The box that should be used with the least amount of wasted space is he box with volume 24 Cubic inches. i.e. box with dimensions 4 in. x 3in. x 2 in.
This is because the volume of the box(18 cubic inches) with dimension 3 in. x 2 in. x 3 in. is less than what is required.
Answer:
5/8 or 62.5%
Step-by-step explanation:
It is simple. Use 8/8 and subtract it by the probability of an event happening and you will get 5/8
B. False
Someone please answer this for me!!!!
A parallelogram is a quadrilateral that has two pairs of parallelsides.
In a parallelogram, oppositesides and angles are equal.
The adjacentangles add up to 180 degrees.
The rectangle is a quadrilateral that has four sides and the opposites are always parallel.
The statement "Some rectangles are not parallelograms" is false.
Option B is the correct answer.
A parallelogram is a quadrilateral that has two pairs of parallelsides.
In a parallelogram, oppositesides and angles are equal.
The adjacentangles add up to 180 degrees.
We have,
Some rectangles are notparallelograms.
The rectangle is a quadrilateral that has four sides and the opposites are always parallel.
So,
All rectangles are parallelograms.
Thus,
The rectangle is a quadrilateral that has four sides and the opposites are always parallel.
The statement "Some rectangles are not parallelograms" is false.
Option B is the correct answer.
Learn more about parallelograms here:
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