Answer:
The first and third is correct.
Step-by-step explanation:
I'm not a expert but I know its right.
So I think you should set up an equation like this: 14.95x+16.88y=131.18 , x+y=8
so x=8-y, plug this into the original equation:
14.95(8-y)+16.88y=131.18
Evaluate: 119.60-14.95y+16.88y=131.18
Combine like terms: 119.60+1.93y=131.18
Subtract 119.60 from both sides. You get: 1.93y=11.58
Divide both sides by 1.93. You get y=6
Plug into second equation: x+y=8 ---> x+6=8 and solve for x. x=2
Christine bought 2 video games and 6 CDs. 14.95(2)+16.88(6)=131.18
40.8 because u take 15 percent of 48 and subtract it from 48
7.2 - 48 = 40.8
ik i’m late but, 5/4 fabric or 1 1/4 fabric. :)
Answer:
6*8=48 groups with elements of order 7
Step-by-step explanation:
For this case the first step is discompose the number 168 in factors like this:
And for this case we can use the Sylow theorems, given by:
Let G a group of order where p is a prime number, with and p not divide m then:
1)
2) All sylow p subgroups are conjugate in G
3) Any p subgroup of G is contained in a Sylow p subgroup
4) n(G) =1 mod p
Using these theorems we can see that 7 = 1 (mod7)
By the theorem we can't have on one Sylow 7 subgroup so then we need to have 8 of them.
Every each 2 subgroups intersect in a subgroup with a order that divides 7. And analyzing the intersection we can see that we can have 6 of these subgroups.
So then based on the information we can have 6*8=48 groups with elements of order 7 in G of size 168