Step-by-step explanation:

Convert the mixed numbers above to improper fractions. Thus:

In order to simplify the fractions above, the division sign changes to multiplication sign thus turn the right hand side of the fraction inversely such that -2/3 to -3/2. Hence,





Answer:
The length of the third side is both more than six and less than 14
Step-by-step explanation:
The volume of the shape is 6 cubic units
<h3>How to determine the volume of the shape?</h3>
<u>Method 1</u>
From the figure, we can see that:
- There are 6 cubes in the figure
- The dimensions of the cubes are equal
- The volume of each cube is 1 cubic unit
So, the volume of the shape is
Volume = Number of cubes * Volume of each cube
Substitute the known values in the above equation
Volume = 6 * 1
Evaluate
Volume = 6
<u>Method 2</u>
From the figure, we can see that:
- There are 6 cubes in the figure
- 2 cubes at the top and 4 at the bottom
- The dimensions of the cubes are equal
- The volume of each cube is 1 cubic unit
So, the volume of the shape is
Volume = Top cubes + Bottom cubes
This gives
Volume = 2 * Volume of each cube + 4 * Volume of each cube
Substitute the known values in the above equation
Volume = 2 * 1 + 4 * 1
Evaluate
Volume = 6
Hence, the volume of the shape is 6 cubic units
Read more about volumes at:
brainly.com/question/1972490
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Answer: 36.25p + 7.50r = 185
Step-by-step explanation:
The cost of p gallons of paint is given by;
= 36.25 * p
= 36.25p
Cost of r rollers is given by;
= 7.50 * r
= 7.50r
Total the customer can buy with; $185
Equation is;
36.25p + 7.50r = 185