1a. Princess was asked to subtract 18 from a certain number and then divide the result by 6. Instead she subtracted 6 from the number and then divided the result by 18, but she still got the correct answer. Find the number she started with. b.Simplify: i. (3v+2u)/5+(u-5v)8-3v/4 ii.(n+5) (n-5)-1(-n-25) c. Effia took 4 red, 6 green, 3blue and x number of white marbles and put them in a sack. Find: i. the number of white marbles she put in the sack if the probability of picking a red marble from the sack is 2/9. ii. the probability of not picking a blue or white marble from the sack. Please it urgent pleasssseee
Answers
Answer:
Step-by-step explanation:
1a). (n - 18) / 6 = (n - 6) / 18
3(n - 18) = n - 6
3n - 54 = n - 6
2n = 48
n = 24
b). (i). (3v + 2u) ÷ 5 + (u - 5v) ÷ 8 - 3v ÷ 4 =
[8(3v + 2u) + 5(u - 5v) - 30v] ÷ 40
(24v + 16u + 5u - 25v - 30v) ÷ 40 =
(21u - 31v) ÷ 40
(ii). (n + 5)(n - 5) - (- n - 25) = n² - 25 + n + 25 = n² + n
1a. 24
1b. (i) (21u -31v) / 40 (ii) n²+n
1c. (i) 5 (ii) 5/9
Step-by-step explanation:
a) Let x be the number given to the princess.
(x - 18) / 6 = (x - 6) / 18
18 (x-18) = 6 (x-6)
18x - 324 = 6x - 36
12x = 324 - 36
12x = 288
x = 288 / 12
x = 24
b)
(i) (3v+2u)/5 +(u-5v)8 -3v/4
Taking LCM, we get:
= 8(3v +2u) +5(u-5v) -10(3v) / 40
= (24v + 16u + 5u - 25v - 30v) / 40
= (21u -31v) / 40
ii) (n+5) (n-5)-1(-n-25) = (n² - 5²) + (n + 25) = n² + 25 + n - 25 = n²+n
c) Effia took 4 red, 6 green, 3 blue and x number of white marbles.
i) Probability of picking a red marble from the sack is 2/9.
4 / 13+x = 2/9
36 = 26 + 2x
2x = 10
x = 5.
Number of white marbles she put in the sack = 5.
ii) Probability of not picking a blue or white marble from the sack
= probability of picking a red or green marble
= 4 / 18 + 6 / 18
= 10/ 18
= 5/9