Answer:
x>15.5
Step-by-step explanation:
x - 10.2 > 5.3
Add 10.2 to both sides
x-10.2+10.2>5.3+10.2
Simplify getting the answer of
x>15.5
S= a(1-r ⁿ) /(1-r) & when r is < 1 & n →∞, the sum becomes S= a/(1-r)
Progression P is 2,1, 1/2,1/4,.. ==> r = 1/2
Sum of P when n--> ∞ = 2/(1-1/2) ==> S =4
Progression Q is 3,1,1/3,1/9,....==> r = 1/3
Sum of Q when n--> ∞ = 3/(1-1/3) ==> S =4.5
GIVEN THAT 4, 9/2 & X (to be calculated later is a geometric Progression, hence 9/2 - 4 = 0.5 =d (common difference , so X = 4.5+0.5 & X = 5
Sum of R =5 Then => 5= 4 /(1-r) & r=1/5
Then the sum of R = 4/(1-1/5) ==> S of R =5
Answer:
Step-by-step explanation:
<u>The volume is:</u>
- V = Bh, where B- area of base, h - height
<u>Find the area of base, which is the trapezoid:</u>
- B = 1/2*(5 + 7.5)*6 = 37.5 in²
<u>Find the volume:</u>
Answer: The answer is 400 blue marbles.
Step-by-step explanation: Given that there are 560 marbles in a bag, out of which 65% are red and rest are blue.
So, number of red marbles is

and number of blue marbles is

Now, if 28 red marbles are replaced by blue marbles, the the new number of red and blue marbles will be

Now, to get 65% of the marbles blue, we need to add some more blue marbles to the bag. Let 'x' number of blue marbles are added to the bag, then

Thus, 400 blue marbles need to be added to the bag.