How do you do these math problem for exploring of algebra?

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

4 0

x=4

Step-by-step explanation:

4(-6+5x)=24+8x

open the bracket

-24+20x=24+8x

collect like terms

20x-8x=24+24

12x=48

divide both sides by 12

12x/12 = 48/12

x= 4

-7+7n=2(-7+7n)

open the brackets

-7+7n=-14+14n

collect like terms

14n-7n=-14+7

7n=-7

divide through by 7

n=-1

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X + 8x + 15 help me out with this plz

aleksklad [387]

Answer:

3(3x + 5)

Step-by-step explanation:

x + 8x + 15 Combine liked terms

9x + 15

GCF: 3

3(3x +5) Factor

5 0

3 years ago

Suppose that 35 people are divided in a random manner into two teams in such a way that one team contains 10 people and the othe

Effectus [21]

Answer:

0.5798 or 57.98%

Step-by-step explanation:

The total number of ways to form the two teams is the combination of choosing 10 people out of 35 (₃₅C₁₀). The number of possibilities that A and B are both on the 10-people team is given by the combination of choosing 8 people (since two are fixed) out of 33 (₃₃C₈).The number of possibilities that A and B are both on the 25-people team is given by the combination of choosing 10 people out of 33 (₃₃C₈).

Therefore, the probability that two particular people A and B will be on the same team is:

$P = \frac{_{33}C_8+_{33}C_{10}}{_{35}C_{10}} \\\\P=\frac{\frac{33!}{(33-8)!8!}+\frac{33!}{(33-10)!10!} }{\frac{35!}{(35-10)!10!}} \\\\P=\frac{69}{119} = 0.5798$