Answer:
Step-by-step explanation: 11^9 -11^8 + 11^7 = 2163075981
2163075981/3 = 721025327
2163075981/37 = 58461513
Yes it is divisible by both 3 and 37
Answer:each book cost 39 dollars
Step-by-step explanation:
Since she had 16 dollars left over afterwords subtract 16 from 289 which leaves you with 273. then take the 273 and divide by the 7 books she bout whic will become 39 dollars therefore each book cost 39 dollars
a = amount (in oz) of solution A
b = amount of solution B
The scientist wants a mixture of 110 oz, so
a + b = 110
Solution A consists of 65% salt, so each ounce of solution A contributes 0.65 oz of salt; similarly, each ounce of B contributes 0.9 oz. The mixture is supposed to consist of 75% salt, which amounts to 0.75 * (110 oz) = 82.5 oz of salt. So
0.65 a + 0.9 b = 82.5
Solve for a and b:
b = 110 - a
0.65 a + 0.9 (110 - a) = 82.5
0.65 a + 99 - 0.9 a = 82.5
0.25 a = 16.5
a = 66 ==> b = 44
