Answer:given below
Step-by-step explanation:
sqrt x^2 +81= x + 10
x^2 + 81 = (x+10)^2
x^2 + 81 = x^2 + 20x + 100
so answer is:
x^2 + 81 = x^2 +20x + 100
..HOPE IT HELPS YOU...ALL THE BEST
Answer:
It will take 3.214 minutes.
Step-by-step explanation:
<em>It is given that, the conveyor belt transports 300 cans in 5 mins and the smaller belt transports 300 cans in 9 minutes.</em>
Thus , the speed of conveyor belt is,
= 
and of smaller belt is,
= 
Thus, when both are used together,
<em>conveyor belt will transport (60)(t) cans and smaller belt will transport 
(t) cans per minute.</em>
Thus the equation becomes,
t = 
Cost of milk per carton = $ 70 cents = 70/100 = $0.7
Cost of bread per loaf = $60 cents = 60/100 = $0.6
Cost of cereals per box = $50 cents = 50/100 = $0.5
Cost of meat per pound = $1.50
If x is the number of cartons of milk bought, then
Number of loafs = x/2
Number pf boxes of cereals = x/2 +1
Number of pounds of meat = x/2 +1
Therefore,
0.7*x + 0.6*x/2 + 0.5 (x/2+1) + 1.5 (x/2+1) = 10
0.7x + 0.3x + 0.25x + 0.5 + 0.75x + 1.5 = 10
2x + 2 =10
2x = 8
x = 4
Substituting;
Milk cartons = 4
Number of bread = 4/2 = 2
Boxes of cereals = 2+1 = 3
Pounds of meat = 3
Answer:
easy peasy,
the 'n' th term of any arithmetic sequence can be found with the following formula
=> a + ( n-1) d, [where 'a' if the first term of the sequence, 'n' the number of term we need to find, and 'd' being the common difference between each two consecutive term of the sequence)
all in this case would be,
a = 0
n = 100
d = +5
hence the 100th term would be,
=> 0 + (100 - 1) 5
=> 99 x 5
=> 495
