The integers divisible by any set of positive
integers are the multiples of their LCM
let us first write the factored form of each
10 = 2×5
12 = 2×2×3
16 = 2×2×2×2
18 = 2 x3×3
Now we will find lcm of these numbers
LCM = 2×2×2×2×3×3×5 = 720
The multiples of 720 are divisible by 10,12,16 and 18.
2000/720 = 2.777777...
The least integer greater than that is 3, so 3×720 = 2160 is
the least integer greater than 2000 that is divisible by
10,12,16 and 18.
so if we need to find what must be added to 2000 so that the sum is divisible by 10,12,16 and 18, we must subtract 2000 from 2160
2160-2000=160
so we must add 160 to 2000 so that the sum is divisible exactly 10,12,16and 18
Answer:
Step-by-step explanation:
Triangle XYZ is a right angle triangle.
From the given right angle triangle
XZ represents the hypotenuse of the right angle triangle.
With ∠34 as the reference angle,
YZ represents the adjacent side of the right angle triangle.
XY represents the opposite side of the right angle triangle.
To determine x, we would apply the Cosine trigonometric ratio
Cos θ = opposite side/hypotenuse. Therefore,
Cos 34 = x/28
x = 28Cos34 = 28 × 0.8290
x = 23.212
To the nearest tenth, it becomes
23.2
Answer:
x = 15
Step-by-step explanation:
isolate the variable by dividing each side by the factors that don’t contain the variable
Answer:
the answer is 7/10, and yes it is between a whole and a half because 7/10 is over 1/2 but less that a whole.
