10x+y = 10y+x +36
x+y=14
9x-9y=36
x-y=4
x= 14-y
14-2y==4
10=2y
y=5
x=9
Answer:
£252
Step-by-step explanation:
The ratio of their profit is 9 ; 5 = 9x : 5x ( x is a multiplier )
Bill gets £72 more than Mischa , then
9x = 5x + 72 ( subtract 5x from both sides )
4x = 72 ( divide both sides by 4 )
x = 18
Total received = 9x + 5x = 14x = 14(18) = £252
The angle 12x-6 is a vertical angle to the 90 degree angle (marked by the square red marker)
Vertical angles are congruent, aka equal, so that means 12x-6 is equal to 90
12x - 6 = 90
12x - 6 + 6 = 90 + 6 ... add 6 to both sides
12x = 96
12x/12 = 96/12 ... divide both sides by 12
x = 8
So the final answer is x = 8
Let's check the answer. We do this by plugging in x = 8 into the original equation
12x - 6 = 90
12*x - 6 = 90
12*8 - 6 = 90 ... replace x with 8
96 - 6 = 90
90 = 90
Since we get a true result (same number on both sides), this confirms we have the correct answer.
Answer:
-28(2z - 1)
Step-by-step explanation:
Looking at the coefficients -56 and 28 in -56z + 28, we see that -28 is common to both and can be factored out:
-56z + 28 = -28(2z - 1).
log10 1000 = 3 or log 1000 = 3
