Answer:
The quantity of water in the tank after 15 days is 1610.0 gallons OR 1.61 × 10³ gallons.
Step-by-step explanation:
The amount of water in the tank after 15 days is given by the series
910+(−710)+810+(−610)+⋯+310+(−110)+210
From the series, we can observe that, if water is added for a particular day then water will be drained the following day.
Also, for a day when water is to be added, the quantity to be added will be 100 gallon lesser than the quantity that was last added. Likewise, for a day when water is to be drained, the quantity to be drained will be 100 gallons lesser than the quantity that was last drained.
Hence, we can complete the series thus:
910+(−710)+810+(−610)+710(-510)+610(-410)+510(-310)+410(-210)+310+(−110)+210
To evaluate this, we get
910-710+810-610+710-510+610-410+510-310+410-210+310-110+210
= 1610.0 gallons
Hence, the quantity of water in the tank after 15 days is 1610 gallons OR 1.61 × 10³ gallons.
It seems that the expression is - 7x + 3y - 2 + 6x -1 - y^2
like terms:
-7x + 6x = - x
3y stands alone
-2 - 1 = -3
- y^2 stands alone
Answer: - x + 3y - 3 - y^2
[note: if the last term is not y^2 but 2y, then you have to combine +3y - 2y = y and the answer would be - x + y - 3]
Answer:
Children 188
Adults. 115
Step-by-step explanation:
Let the no. of children be x and adults be y
x + y = 303
x = 303 - y. .... .....(1)
1.75x + 4.80y = 881. ...........(2)
Substituting,
1.75(303-y) +4.80y = 881
530.25 -1.75y + 4.80y = 881
530.25 + 3.05y = 881
3.05y = 881 - 530.25
y = 350.75 / 3.05 = 115 = adults
Children = 303-115 = 188
