Answer:
x = 0.25 or 
Step-by-step explanation:
2(2x + 3) - 2 = 5 (Given)
2 · 2x + 2 · 3 - 2 = 5 (Distributive Property of Equality)
4x + 6 - 2 = 5 (Simplify)
4x + 4 = 5 (Simplify)
4x + 4 - 4 = 5 - 4 (Subtraction Property of Equality)
4x = 1 (Simplify)
(Division Property of Equality)
x = 0.25 or (Simplify)
Answer:
25
Step-by-step explanation:
It takes 1/5 of a gallon of water to fill up a package of water balloon
There are 5 gallons of water in total
Therefore the number of packs of balloons that can be filled can be calculated as follows
= 5 ÷ 1/5
= 5 × 5/1
= 25
Hence 25 packs of the balloon can be filled
We write the equation in terms of dy/dx,
<span>y'(x)=sqrt (2y(x)+18)</span>
dy/dx = sqrt(2y + 18)
dy/dx = sqrt(2) ( sqrt(y + 9))
Separating the variables in the equation, we will have:
<span>1/sqrt(y + 9) dy= sqrt(2) dx </span>
Integrating both sides, we will obtain
<span>2sqrt(y+9) = x(sqrt(2)) + c </span>
<span>where c is a constant and can be determined by using the boundary condition given </span>
<span>y(5)=9 : x = 5, y = 9
</span><span>sqrt(9+9) = 5/sqrt(2) + C </span>
<span>C = sqrt(18) - 5/sqrt(2) = sqrt(2) / 2</span>
Substituting to the original equation,
sqrt(y+9) = x/sqrt(2) + sqrt(2) / 2
<span>sqrt(y+9) = (2x + 2) / 2sqrt(2)
</span>
Squaring both sides, we will obtain,
<span>y + 9 = ((2x+2)^2) / 8</span>
y = ((2x+2)^2) / 8 - 9
2:4 3:6 4:8
Any ratio equals 1:2 as long as you can divide the first number by itself to get 1 and the second number with the 1st number.
Example
2:4
Divide the first number by 2 and you get 1
Divide the second number by 2 and you get 2
So the ratio equals 1:2
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