Answer:
2
Step-by-step explanation:
5x+6=7x-2
5x+4=7x
4=2x
4/2
2
Answer:
a) 26
b) 26/3
Step-by-step explanation:
a)
1) First, you have to turn 4 1/3 into an improper fraction, so you get 13/3
2) Then you do 13/3 *6/1 =78/3 (so you multiply both numerators and denominators)
3) Lastly, 78/3 can be simplified as 26
b)
1) First you turn both fractions into improper fractions, so you get 13/5 and 10/3
2) Then you do 13/5*10/3 (so you multiply both numerators and denominators)
3) You get 130/15, which can be simplified as 26/3
Answer:
a) P = 362880 ways
b) P = 2880 ways
Step-by-step explanation:
a) We have four boys and five girls, they are going to sit together in a row of 9 theater seats, without restrictions
We have a permutation of 9 elements
P = 9!
P = 9*8*7*6*5*4*3*2*1
P = 362880 ways
b) Boys must seat together, we have two groups of people
4 boys they can seat in 4! different ways
P₁ = 4!
P₁ = 4*3*2*1
P₁ = 24
And girls can seat in 5! dfferent ways
P₂ = 5!
P₂ = 5*4*3*2*1
P₂ = 120
To get total ways in the above mentioned condition, we have to multiply P₁*P₂
P = 24*120
P = 2880 ways
