Answer:
The two positive integers are 30 and 30
Step-by-step explanation:
Let
x------> the larger positive integer
y-----> the smaller positive integer
P----> the product o the two positive integers
we know that
-----> equation A
----> equation B
substitute equation A in equation B
This is the equation of a vertical parabola open downward
The vertex is a maximum
The y-coordinate of the vertex is the largest possible product
Using a graphing tool
The vertex is the point (30,900)
That means------> For The largest possible product is
and
------>
therefore
The two positive integers are 30 and 30
Answer:
Step-by-step explanation:
Scott has 144 pieces of candy
25% is one 4th
144/4=36
he gives to his sister 36
Answer:
Step-by-step explanation:
Hello There!
For this problem we want to split the irregular 3d figure into two regular 3d figures
Two rectangular prisms with the following dimensions
rectangular prism 1
length - 5 feet
width - 12 feet
height - 5 feet
rectangular prism 2
length - 5 feet
width - 5 feet
height - 10 feet (was found by subtract height of rectangular prism 1 (5 feet) from the total height of the irregular figure (15-5=10 so the height of rectangular prism 2 is 10 feet)
Now to find the volume of each individual prism...
So remember the formula for volume of a rectangular prism is
volume = length x width x height
so having the dimensions of each rectangular prism we plug in each value to the formula ( remember we're doing this for each individual rectangular prism)
For rectangular prism 1
V = 12 x 5 x 5
12x5x5=300 so the volume of rectangular prism is 300 cubic feet
For rectangular prism 2
V = 10 x 5 x 5
10x5x5=250 so the volume of rectangular prism is 250 cubic feet
our final step is to add the two volumes together
250 + 300 = 550
so we can conclude that the volume of the rooftop is 550
5 x (2+4+3) = 45
5 x (9) = 45
The absolute value of -5 five would be five because no absolute value is going to be negative since its turning a number to a negative. so the correct answer is |5| = 5
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