For some number to be divisible by 12 it has to be divisible by 6 and by 2.
we can write number n as:
n = 6 + 12*k where k is positive integer.
If we divide n by 12 we will get remainder 6 because 12*k part is divisible by 12.
The part 12*k is as said divisible by 12 which means it is divisible by 6 (as first stated) and it has remainder 0. That leaves us with 6/6 which again has 0 as remainder. That means that number n is divisible by 6
The answer is 0
The lengths of the rectangles are 7 and 12 respectively. Form the ratio 7/12. The widths of the rects. are x and 5 respectively. Form the ratio x/5. Now equate these two ratios:
7 x
--- = ---
12 5
Solve this for x. One way to do this would be to cross-multiply, obtaining 12x = 35, and solving this result for x. x will be a fraction. Write the numerator and denominator in the boxes given.
Where are the number line choices!?
Answer:
Therefore
15.
16.
17.
Step-by-step explanation:
15.
Using the Identity (a + b)(a - b) = (a² - b²) we get
Consider here a = 5c and b = 3 then we will have
.....as required
16.
Here Factorize 8 such that sum up to be 9
∴ 8 × 1 = 8 and 8 + 1 =9
... as required
17.
Here Factorize 21 such that sum up to be -10
∴ -3 × -7 = + 21 and -3 - 7 = - 10
........as required
Therefore
15.
16.
17.
Answer:
see below
Step-by-step explanation:
8- 2x - 5- 13x = 6
Combine like terms
-15x+3=6
Subtract 3 from each side
-15x+3-3=6-3
-15x = 3
Divide each side by -15
x = 3/-15
x = -1/5
Check
8 - 2(-1/5) -5 -13(-1/5) = 6
8 + 2/5 -5 +13/5 = 6
3 + 15/5 = 6
3+3=6
6=6
