So average is of the first 6 tests is 82 well that means
(test1 + test2+ test3+ test4 + test5+test6)/6 = 82
so now let do some cross multiplliying
test1 + test2 + test3 + test 4 + test5 +test6 = 82*6
test1 + test2 + test3 + test 4 + test5 +test6 = 492
now lets see if we can find that 7th test score
(test1 + test2 + test3 + test4 + test5 +test6 + test7)/7 = 80.5
So look we found test1 + test2 + test3 + test4 + test5 +test6 to be 492 so lets substitute.
(492 + test7 )/7 = 80.5
test7 = (80.5*7)-492 = 71.5
Answer : 96
x – y = 16
--------> equation 1

x is the higher grade and y is the lower grade
We solve the first equation for y
x - y = 16
-y = 16 -x ( divide each term by -1)
y = -16 + x
Now substitute y in second equation



Take common denominator to combine fractions


Add 8 on both sides

Multiply both sides by 
x = 96
We know x is the higher grade
96 is the higher grade of Jose’s two tests.
Answer:
Duration of the tour he planned first is 8 days.
Step-by-step explanation:
Given that a person has 12000 rupees for his daily expenses.
Let x be the number of days.
Then daily expenses per day 
Given that number of day is increased by 2 more days, that is number of days is x+2.
New daily expense per day 
Given that this new daily expenses are 300 less than original.
That is 




(x-8)(x+10)=0
x=8 or -10.
Since number of days cannot be negative, duration of the tour planned=8.
68 is the correct answer. Thank you for your help! Love doing this!
According to my study, current yield is calculated by using the formula Interest or dividends divided by the current price of the security or simple the current price. So the current price in this given question is 102.114 and the interest is 8.1%, we will simply divide the two; 8.1 / 102.114 = 0.07732310947 or approximately .077. The answer is A.