Answer:Let n = the smallest integer
Then the other integers are n+1, n+2, n+3 and n+4
Sum = n + n+1 + n+2 + n+3 + n+4 = 5n + 10 = 5(n + 2)
So the sum is always divisible by 5, for any value of n
Step-by-step explanation:
Answer:
C. X 
-1
Step-by-step explanation:
Answer:
x = 2.4
Step-by-step explanation:
Corresponding sides of the similar triangles are proportional:
x/(x+3) = 8/18
18x = 8(x +3) . . . . . multiply by 18(x+3)
10x = 24 . . . . . . . . subtract 8x
x = 2.4 . . . . . . . . . . divide by 10
Answer:
5 hours and 40 minutes would be class
Step-by-step explanation:
We know that the total time is 7 hours, which in minutes would be:
7 * 60 = 420
420 minutes would be class, now, we subtract the other times that are not to be in class and it would be:
420 - 30 - 50 = 340
So we could say that in class it takes 340 minutes, and if we spend hours it would be:
340/60 = 5.67 hours or also 5 hours and 40 minutes would be class.
Answer: 0.5 < x < 16.5.
Step-by-step explanation:
Given: Two sides of triangle: 8.0 units and 8.5 units
Measure of third side = x
According to the triangle's inequality,
- Sum of any two sides > third side. (i)
- Difference between the sides < third side. (ii)
If x is the third side, then
x < 8+8.5 [Using (i)]
i.e. x< 16.5
Also, x > 8.5-8 [Using (ii)]
i.e. x> 0.5
Hence, Range of possible sizes for side x would be 0.5 < x < 16.5.
