Answer:
Prachi was 5 kilometers east of her home when she began driving farther east at 70 kilometers per hour.
Let f(n) be Prachi's distance from her home at the beginning of the nth hour of her drive.
f is an arithmetic sequence.
Write an explicit formula for the sequence.
f(n) = 70n + 5
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
12
Part A: First, list multiples for each number. The multiples of 5 are: 5, 10, 15, 20, 25 30, 35, 40, 45, 50, 55, 60, etc. The multiples of 12 are: 12, 24, 36,48, 60, etc. The least common multiple is the first common multiple between the two, in this case being 60. The LCM of 5 and 12 is 60.
Part B: SImilar to above, list all factors for each number. 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. 81: 1, 3, 9, 27, and 81. The greatest common factor is the highest common number, 9 in this case. The GCF of 72 and 81 is 9.
Part C: To rewrite, we need to take out the 9 by dividing. 72/9 is 8. 81/9 is 9. Therefore, we would get 9(8+9), to equal 153. Your answer here is 9( 8 + 9 ). Hope this helped!
Answer:
The best estimate for the money in Karita's account now is $151.
Step-by-step explanation:
Given:
Karita had $138.72 in her checking account.
She wrote checks for $45.23 and $18.00.
Then she made a deposit of $75.85 into her account.
Now, to find the best estimate for the money in Karita's account now.
<em>Initial account = $138.72.</em>
<em>Deducted amount = $45.23+$18.00=$63.23.</em>
So, the amount after deduction:
$138.72 - $63.23 = $75.49.
Now, the amount after deposit:
$75.49 + $75.85 = $151.34.
Therefore, the best estimate for the money in Karita's account now is $151.
