To find the maximum number of identical packs we see we have 72 pencils and 24 calculators.
This involves discovering the largest number that divides both 72 and 24 evenly,
which is known as the GCM or greatest common multiplier.
To determine the GCM, factor 72 into primes and group them:
72=2 times 2 times 2 times 3 times 3
24=2 times 2 times 2 times 3
Thus, the common grouping is 2 times 2 times 2 times 3, equating to 24.
Therefore, the maximum number of packs is 24.
For pencils:
72 divided by 24=3
Resulting in 3 pencils per pack.
For calculators:
24 divided by 24=1
So, 1 calculator per pack.
The outcome is 3 pencils and 1 calculator in each pack.
The maximum area that can be enclosed is 64 ft². To achieve the largest area while minimizing the perimeter, the dimensions should be as equal as possible. Allocating 32 feet of fencing for four sides gives us 8 feet per side, resulting in a square with a side length of 8; thus, the area equals 8*8 = 64.
8.6 = -5
13.6 = 0
Your equation seems to be lacking another value for x, but based on what you've provided, this is accurate.
Answer:
Step-by-step explanation:
I'm fairly certain that addition is needed here.
When we combine two fractions like 3/4 + 3/4, we ensure that the denominators (the bottom parts) are identical before simply adding the numerators (the top parts).
In this case, the denominators match, so we straightforwardly combine 3+3 to get 6/4. The denominator remains the same.
answer:
3/4 + 3/4 = 6/4
Hope this helps!
Comment
Let's first tackle the simplest approach to finding the area of a triangle.
Formula for area is
A = 1/2 b * h
Substituting values
Area = 60 in^2
where b = x
and h = 2x - 1
Thus, 60 = 1/2 * x * (2x - 1)
Now, we solve
60 = 1/2 * x (2x - 1) Multiply by 2
60 * 2 = x(2x - 1)
120 = x (2x - 1) Expand the brackets.
120 = 2x^2 - x Subtract 120 from both sides.
2x^2 - x - 120 = 0 which factors out to
(2x + 15)(x - 8) = 0
Now, solving for x
2x + 15 = 0
2x = - 15
thus, x = -15/2
which yields a negative value, hence discard this solution.
x - 8 = 0
gives us x = 8
Area verification
base = 8
height = 16 - 1 = 15
thus Area = 1/2 * 8 * 15 = 60 confirming the calculation
Response
Utilize Area = 1/2 * b * h to determine both the base and height.
