Answer:
27x-68
Step-by-step explanation:
-4(2x+3)+7(5x-8)
= -8x-12+35x-56
=27x-68
In order to prove the statement, we have to find a rational number x which satisfies r < x < s.
For the number: ======> x = r + s / 2,
We Have:
r = r + r / 2 < r + s / 2 < s + s /2 ======> s
It remains to prove that x is rational.
Let: ======> r = a/b and s = c/d
where: =====> a, b 6 = 0, c, and d 6 = 0 are integers.
Then: ====> x = r + s/2
= r = a/2b + s = c/2d
= ad + cb / 2bd
Therefore, where ad + cb, and 2bd 6 = 0 are integers. Therefore x is rational.
Hope that helps!!! : )
Answer:
90
Step-by-step explanation:
5+3=8 total ratio
5/8 × 144 = 90
Answer:
-35,35,0
Step-by-step explanation:
Let's organise our information :
Now let's add them together :
- x+xy²+x-xy²=250y-240y
- 2x=10y
- x=5y ⇒ y= x/5
Let's replace y by x/5 in the first equation :
- x+x*(x/5)²=250*(x/5)
- x+ (x∧3)/25 = 50x
- 49x-(x∧3)/25=0
- x(49-(x²/25))=0
- x=0 or 49-(x²/25)=0
- x=0 or 49= x²/25
- x=0 or x²=1225
- x=0 or x= or x= -
- x=0 or x=35 or x= -35
so x=[0,35,(-35)]