For the sake of simplicity, let us say that the bottle contains x liters of water.
The pail originally contained x+3.68 L of water
After pouring out 1.2L, the pail contains x+(3.68-1.2)L or x+2.48 L
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(a) How much more water did the pail contain than the bottle in the end?
Since the bottle contains x L of water, the pail (containing x+2.48 L of water) contains (x+2.48) - x more liters of water than the bottle or "the pail contained 2.48 L of water more than the bottle"
</span><span>(b) How much water did the bottle contain?
</span>We are told that after pouring the 1.2L of water out, the pail contained 3 times as much water as the pail. Therefore, 3x = x+2.48. Subtracting x from both sides gives us 2x = 2.48. Dividing both sides by 2 gives us x = 1.24L
Answer:
58, 37, 9
Step-by-step explanation:
Given:
First term a₁ = 65 and common difference d = - 7
This sequence is arithmetic series and formula for calculating n-th term is:
aₙ = a₁ + (n-1) d
Accordingly
The second term is:
a₂ = 65 + (2-1) (-7) = 65 - 7 = 58
a₂ = 58
The fifth term is:
a₅ = 65 + (5 - 1) (-7) = 65 + 4 · (-7) = 65 - 28 = 37
a₅ = 37
The ninth term is:
a₉ = 65 + (9 - 1) (-7) = 65 + 8 · (-7) = 65 - 56 = 9
a₉ = 9
God with you!!!
Answer:
The length of the hypotenuse is 30 feet
Step-by-step explanation:
Here, we are to calculate the length of the hypotenuse of an iscosceles right triangle.
For the triangle to be isosceles, it means that the opposite and the adjacent are equal in length.
Now, to calculate the value of the hypotenuse, we make use of the Pythagoras’ theorem which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Mathematically;
let’s say the hypotenuse is length h feet
h^2 = {15√(2)}^2 + {15√(2)}^2
h^2 = (225 * 2) + (225 * 2)
h^2 = 450 + 450
h^2 = 900
h = √(900)
h = 30 feet
32 miles is the same as 19.8839 kilometers
There are 3.78541 liters in a gallon
Now we divide the two.
19.8839 / 3.78541 ≈ 5.25
The American car gets 5.25 km per liter. So the European car is better on gas economy.
