Rashon has a dimes and y nickels. He has no less than 12 coins worth at most $0.95
1 answer:
A possible solution of the system of inequalities is 5 dimes and, 8 nickels
<h3>How to determine a possible solution?</h3>From the question, the given parameters are:
Number of coins = Not less than 12
Worth = At most $0.95
Represent dime with x and nickels with y
So, we have the following inequalities
x + y >= 12
0.1x +0.05y <= 0.95
Next, we plot the graph of the inequalities (see attachment)
From the graph, we have a possible solution to be (5, 8)
This is so because this point is in the shaded region
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Answer:
The correct answer is:
The volume of the triangular prism is equal to the volume of the cylinder
Step-by-step explanation:
Given that there are two figures
1. A right triangular prism and
2. Right cylinder
Area of cross section of prism is equal to Area of cross section of cylinder.
Let this value be <em>A</em>.
Also given that Height of prism = Height of cylinder = <em>6</em>
Volume of a prism is given as:
Cross section of cylinder is a circle.
<em>Area of circle</em> is given as:
Area of cross section, A =
Volume of cylinder is given as:
From equations (1) and (2) we can see that
Hence, the correct answer is:
Volume of prism is equal to the volume of cylinder.
Answer:
Volume = cubic inches
Step-by-step explanation:
A cube is the 3D version of a square. Since one side length is x inches, all the other side lengths are same, x inches each.
We know,
Volume = area of base * height
THe base is a square and the area is side * side. We know each side is x, so we have:
Area of Square = Area of Base = x * x =
Now, we know height is also same side length, x, thus the volume becomes:
Volume = area of base * height
Volume =
We add the exponents when we have same base multiplied, so the expression for volume becomes:
Volume =