3( 1/2 - y) = 3/5 + 15y
Applying distributive property:
3*1/2 - 3y = 3/5 + 15y
3/2 - 3y = 3/5 + 15y
3/5 is adding on the right, then it will subtract on the left
3y is adding on the left, then it will subtract on the right
3/2 - 3/5 = 15y + 3y
15/10 - 6/10 = 18y
9/10 = 18y
18 is multiplying on the right, then it will divide on the left
9/10*1/18 = y
1/10*1/2 = y
1/20 = y
Answer:
a) Put x=10, then the both terms will be same.
b) (2x+3) and 23
c) (2x+3) is a general term for all values of x and 23 is a particular value for x=10
Step-by-step explanation:
a) Considering the following two fractions (4x²+8x+3)/(2x+1) and 483/21, they are equivalent to each other for the value of x =10.
Therefore, if you put x=10 in the fraction (4x²+8x+3)/(2x+1), then it will become 483/21. (Answer)
b) The quotient of the fraction (4x²+8x+3)/(2x+1) will be obtained by as follows:
(4x²+8x+3)/(2x+1) {By factorizing the numerator}
=(4x²+6x+2x+3)/(2x+1)
=(2x+3)(2x+1) / (2x+1)
=2x+3
Again, the quotient of the fraction 483/21 =23 (Answer)
c) Again, if you put the value of x =10 in the quotient (2x+3), then it will result 23. Therefore, (2x+3) is a general term which is valid for all the real values of x and 23 is a particular value for x=10. (Answer)
Answer:
B=25
Step-by-step explanation:
b=2(10)^2(10-5)/10(10
b=2(100)(5)/100
b=(200)(5)/100
B=2500/100
B=25
He’d make 13 packages; each one would have 1 player and 3 headphones.
Answer:
They will do rounds together again in 11 minutes and 40 seconds.
Step-by-step explanation:
Security A rounds every 2 minutes and 20 seconds in the gate 1.
That is, after 2*60 + 20 = 120 + 20 = 140 seconds.
Security B rounds every 1 minute and 40 seconds in the gate 2.
That is, after 1*60 + 40 = 60 + 40 = 100 seconds.
After how many minutes they will rounds together again?
First, we find this is seconds, which is the least common multiple between 140 and 100. Factoring them by prime factors:
140 - 100|2
70 - 50|2
35 - 25|5
7 - 5|5
7 - 1|7
1 - 1
lcm(140,100) = 2*2*5*5*7 = 700 seconds
They will do rounds together again in 700 seconds, which is 11 minutes and 40 seconds.
