4 sets Step-by-step explanation: The greatest common factor (GCF) of 16 and 12 is 4, which is the largest number that divides both evenly. This can be concluded from examining the factors: 12 = 4·3 and 16 = 4·4, or by confirming that the difference of the two numbers (4) can divide both without remainder. Hence, the maximum number of identical sets Mandy can create is 4. Each of these 4 sets will consist of 4 sheets of paper and 3 envelopes.
It's crucial to recognize that all necessary information is already presented in the question
The likelihood of a day being hot equals 0.15 + 0.10
= 0.25
The likelihood of a day being sunny amounts to 0.15 + 0.30 + 0.10
= 0.55
Combining the two probabilities, we find = 0.25 + 0.55
= 0.80
Now
The probability of a day being both hot and sunny is 0.15
Thus
The probability of a day being either hot or sunny = 0.80 - 0.15
= 0.65
I trust this explanation is clear enough for your understanding.
Response:
The Second, Fourth, and Fifth dots on the graph
Finn Jeff Kevin
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.
Answer:
m = - 3
Step-by-step explanation:
a³ + 27 can be recognized as a sum of cubes, which factors generally as
a³ + b³ = (a + b)(a² - ab + b²). Therefore:
a³ + 27
= a³ + 3³
= (a + 3)(a² - 3a + 9).
By comparing a² - 3a + 9 to a² + ma + 9, we find that
m = - 3.
