9^1/3 * 3^x = 27^4/5
Rewrite 9 as 3^2
(3^2)^1/3 * 3^x = 27^4/5
Multiply the exponents in the first term:
3^2/3 * 3^x = 27^4/5
Use power rule to combine exponents:
3^(2/3 +x) = 27^4/5
Rewrite the 2nd term:
3^(2/3 +x) = (3^3)^4/5
Set the exponents only to equal:
2/3 + x = 3(4/5)
Solve for x:
simplify the right side:
2/3 + x = 12/5
Subtract 2/3 from both sides:
x = 26/15
Answer:
1.39 × 10¹² or 1.39 × 10^12
Step-by-step explanation:
1) 2m - 16 = 2m + 4
2m - 2m = 4 + 16
0 = 20 (no solution)
2) -4(r + 2) = 4(2 - 2r)
-(r + 2) = 2 - 2r
-r - 2 = 2 - 2r
-r + 2r = 2 + 2
r = 4
3) 12(5 + 2y) = 4y - (6 - 9y)
60 + 24y = 4y - 6 + 9y
60 + 24y = 13y - 6
24y - 13y = -6 - 60
11y = -66
y = -6
Answer:
42
Step-by-step explanation:
11 - 4 = 7
49 - 7 = 42
Answer: 0.75
Step-by-step explanation:
A survey of 364 children aged 19-36 months found that 91 liked to eat potato chips.
Total children surveyed= 364
Those that like to eat potato chips= 91
Those that don't like to eat potato chips= 364 - 91 = 273
Probability that the child chosen doesn't like to eat potato chips will be children that don't like to eat potato chips divided by total number of children surveyed.
= 273/364
= 0.75
