
a) 2 (5x-3) = 24
= 10x -6 = 24
= 10x = 24+6
= 10x = 30
= x= 30/10

b) 5 (2x+1) = 50
= 10x+5=50
= 10x = 50-5
= 10x = 45
= x = 45/10

c) (3x+4)/2=9.5
= (3x+4)/2=95/10
( On cross multiplication )
= 10(3x+4) = 2×95
= 30x+40=190
= 30x=190-40
= 30x=150
= x=150/30
(on simplification)

d) (7+2x)/3=5
(On cross multiplication)
= 1(7+2x)=5(3)
= 7+2x=15
= 2x=15-7
= 2x=8
= x=8/2
(on dividing)

A. 1/6, 6 possible outcomes with 1 desired result.
B.67/450 will give you the answer of 14.888...% I'm going to assume your teacher will let you round to 15 so the chances are 15/100 and in simplest form is 3/20.
Answer: The answers are (a)1/8th (b) 0.125 (c) 12.5%
Step-by-step explanation:
How I drew this conclusion is, you have 8 letters in RECORDER so its 8/64 the same spot for every letter which simplifies to 1/8th. Now for the decimal divide 8 into 64 to get 0.125 decimal form. Lastly, for the percent 8 * 100 = 0.125 then 0.125 * 100 gets you 12.5%. Hope this helps you understand good luck.
C. The product of a constant factor of six and a factor with the sum of two terms. In this case, 6 is constant, and the sum of two terms is: y+3. Since they are products, you multiple them. Therefore C would be correct.