A number that is a factor of 16 and is prime would be 2.
2 x 8 = 16 (So it's a factor of 16)
Hope this helps! :D
~PutarPotato
9514 1404 393
Answer:
3
Step-by-step explanation:
You can use your number sense to realize that 8/9 is between 3/4 and 1, so Tyrone can only get 3 whole pieces from his string.
__
If you like, you can do the division ...
(8/9)/(1/4) = (8/9)(4/1) = 32/9 = 3 5/9 . . . . . 3 whole pieces
Or, you can compare decimal values.
1 piece = 0.25 ft
2 pieces = 0.50 ft
3 pieces = 0.75 ft
4 pieces = 1.00 ft
String length = 0.888.... ft (more than 3; less than 4 pieces)
The equation of the circle:
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
(h, k) - center
r - radius
We have:
![r=10\\(-3,\ 6)\to h=-3,\ k=6](https://tex.z-dn.net/?f=r%3D10%5C%5C%28-3%2C%5C%206%29%5Cto%20h%3D-3%2C%5C%20k%3D6)
Substitute:
![(x-(-3))^2+(y-6)^2=10^2\\\\(x+3)^2+(y-6)^2=100](https://tex.z-dn.net/?f=%28x-%28-3%29%29%5E2%2B%28y-6%29%5E2%3D10%5E2%5C%5C%5C%5C%28x%2B3%29%5E2%2B%28y-6%29%5E2%3D100)
Answer:
all real numbers greater than or equal to 175
Step-by-step explanation:
Answer:
The required inequality is: 12 ≤ 3x < 21
Step-by-step explanation:
We are given: three times a number is greater than or equal to 12 and less than 21
We need to answer following questions:
1) The inequality translated in numerical form
Let number = x
12 ≤ 3x < 21
2) Your work solving the inequality
We need to find value of x. Divide the inequality by x
4 ≤ x < 7
3) The solution graphed on a number line
It is shown in figure attached.
4) The solution in set notation
The set notation is: Considering x belongs to natural numbers N
{∀ x|x∈N, 4 ≤ x < 7}
5) The solution in interval notation
The interval notation is: [4,7)
because we have 4 less than equal to x and x is less than 7