Answer:
1.95
Step-by-step explanation:
hello :
ln (x + 6) – ln (2x – 1) = 1 ...(*)
this expression exist : 2x-1 > 0 and x+6 > 0 means : x> 1/2 and x > -6
hence for : x> 1/2 (*) equivalent to ln((x+6)/(2x-1))= lne.......(1=lne)
(x+6)/(2x-1) = e
x+6 = e(2x-1) means : x+6 = 2ex-e
-x+2ex = e+6
x(2e-1) = e+6
x = (e+6)/(2e-1) =(2.73+6)/(2(2.73)-1) =8.73/4.46 =1.95
Answer:
Fraction = 120/100 | Decimal = 1.2
Step-by-step explanation:
Fraction:
100% is 100/100 but 120% is 20% over so the fraction is now 120/100 (20% = 20/100)
Decimal:
100% is 1 but as I said earlier, 120% is 20% over so the decimal is now 1.2 (20% = 0.2)
Alice spends $3 per day, so for in a week and upto 5 weeks, Alice spend =$3*5*5 = $75
Betty spends $ 25 every 2 weeks, so for 5 weeks , she spends= 25+25+12.5
= $62.5
Cindy spends $ 75 per month, and on an average there are less then 5 weeks in a month . SO for 5 week, it must be greater than $75 .
So the order is
Cindy>Alice>Betty
The perimeter is 36 yd.
We set up a proportion to represent this situation. We know that the ratio of the side to the perimeter is the same for every square. This means that the ratio of the first square, 2/8 is the same for the second one. We know that the side length is 9, which gives us:
2/8 = 9/x
Cross multiply:
2*x = 8*9
2x = 72
Divide both sides by 2:
2x/2 = 72/2
x = 36
Answer:
The mean of the samples is 21
Step-by-step explanation:
Mean is defined as the average sum of numbers i.e total sum of given numbers divided by the total number.
Given the randomly selected numbers as shown;
7, 100, 1, 3, 7, 10, 15, 12, 17, 38
Total sum of numbers = 7+ 100 + 1 + 3 + 7 + 10 + 15 + 12 + 17 + 38
= 210
Total numbers given = 10
Mean = 210/10
Mean = 21
