Let's assume we were given 2 numbers: 15 and 30. Their sum is:

We want to express it as the product of GCF and another sum.
15 is divisible by: 1, 3, 5, 15
30 is divisible by: 1, 2, 3, 5, 6, 10, 15, 30
The greatest number that appears in 2 series is 15.


In this case sum of two numbers can always be written as:
Answer:
0 < x ≤ 12 and 0 < y ≤ 36
Step-by-step explanation:
Here, x represents the number of female gazelles and y represents the number of male gazelles.
The zoo only has room for 12 female gazelles.
∵ The number of rooms must be more than or equal to the total female gazelles ,
12 ≥ x
Also, number of animals can not be negative,
And, it must be greater than 0.
⇒ 0 < x ≤ 12,
⇒ 3(0) < 3x ≤ 3(12)
⇒ 0 < 3x ≤ 36
∵ Number of males gazelles = 3 × number of female gazelles
⇒ y = 3x
⇒ 0 < y ≤ 36
Hence, the constraints to represent a thriving population of gazelles at the zoo are,
0 < x ≤ 12,
0 < y ≤ 36
25% as a fraction is 1/4 or 25/100 so as a decimal its 1/4 of 1 which is .25
Answer:
7.) 53.38
8.) 18.84
9.) 87.92
Step-by-step explanation:
7.)
For the first question, we can see that the diameter is given. So, we will want to divide that diameter by 2 to get the radius. 17 ÷ 2 = 8.5.
The formula for finding the circumference is 2 × π × 8.5
2 × 3.14(π) = 6.28.
6.28 × 8.5 = 53.38
8.)
For the second question, we can see that the radius is now given to us which is 3ft.
The formula for finding the circumference is 2 × π × 3
2 × 3.14(π) = 6.28.
6.28 × 3 = 18.84
9.)
For the third question the raduis is also given to us, which is 14 in.
The formula for finding the circumference is 2 × π × 14.
2 × 3.14(π) = 6.28.
6.28 × 14 = 87.92
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