Answer:
B. 97.2
Step-by-step explanation:
The sequence of positive terms is ...
54, 24, 10 2/3, 4 20/27, ...
This sequence has first term 54 and common ratio 24/54 = 4/9. The sum of the infinite series is ...
S = a1/(1 -r) = 54/(1 -4/9) = 54(9/5)
S = 97.2
The sum of the positive terms in the infinite series is 97.2.
260 quarts * 36 hours = 9,360 quarts
260 * 20 hours = 5,200 quarts ---> 260 quarts / 10 hours = 26 quarts per hour ---> 26 quarts * 4= 104 quarts ---> 5,200 + 104 = 5,304 quarts per day
Answer:
12 x ≤ 48
Step-by-step explanation:
This inequality must have two sides, one that shows the expenditure Mary will do in function on the number of shirts (x) and other that shows the maximum money she can spend (48).
Her expenditure will depend on the shirts purchased (x) and as each shirt costs $12 the expenditure will be 12x. So, this expenditure MUST be equal or less to the maximum she can pay: $48.
The inequality will be:
12 x ≤ 48
This is the first of the options posted. From the others, none of them work.
Answer:
8 years.
Step-by-step explanation:
Mara is 6.
6+8=14
Alberto is 20.
20+8=28
14*2=28.
In 8 years, Alberto will be twice Mara's age.
Answer: See explanation
Step-by-step explanation:
Since Veronica buys 2 games for $30.00 each and a game controller for $19.59. The total cost to be paid will be:
= (2 × $30.00) + $19.59
= $60.00 + $19.59
= $79.59
Since Veronica lives in San Jose, California, where sales tax is 9.25%, the sales tax will be:
= 9.25% × $79.59
= 0.0925 × $79.59
= $7.36
Total amount paid = $79.59 + $7.36 = $86.95
