Answer:
-2
Step-by-step explanation:
First you should write out the entire word equation into one you may recongnize:
7x - 12 = -3x - 32
After this, solve for x:
7x + 3x = 12 - 32
<u>10x</u> = <u>-20</u>
10 10
x = -2
the number is -2
65000x.135=8775
65000+8775=73775
So Bill earns $73,775 after the increase
Hoped this helped
Well the younger sister is 14 the middle is 16 and the oldest is 18
Answer:
The length of SO is 46 units
Step-by-step explanation:
<em>In a parallelogram, </em><em>diagonals bisect each other,</em><em> which means meet each other in their mid-point</em>
∵ SNOW is a parallelogram
∵ SO and NW are diagonals
∵ SO ∩ NW at point D
→ That means D is the mid-point of SO and NW
∴ D is the mid-point of SO and NW
∵ D is the mid-point of SO
→ That means D divide SO into two equal parts SD and DO
∴ SD = DO
∵ SD = 9x + 5
∵ DO = 13x - 3
→ Equate them
∴ 13x - 3 = 9x + 5
→ Subtract 9x from both sides
∵ 13x - 9x - 3 = 9x - 9x + 5
∴ 4x - 3 = 5
→ Add 3 to both sides
∵ 4x - 3 + 3 = 5 + 3
∴ 4x = 8
→ Divide both sides by 4
∴ x = 2
→ To find the length of SO substitute the value os x in SD and DO
∵ SO = SD + DO
∵ SD = 9(2) + 5 = 18 + 5 = 23
∵ DO = 13(2) - 3 = 26 - 3 = 23
∴ SO = 23 + 23 = 46
∴ The length of SO is 46 units
You can write 2311 and 3912 in the form 
:
Then
Taken modulo 20, the terms containing powers of 20 vanish and you're left with
We further have
so we end up with
and so 
.
###
If instead you're trying to find 
, you can apply Euler's theorem. We can show that 
using the Euclidean algorithm. Then since 
, and 8 divides 3912, we have
To show 2311 and 20 are coprime:
2311 = 115*20 + 11
20 = 1*11 + 9
11 = 1*9 + 2
9 = 4*2 + 1 => gcd(2311, 20) = 1
