1/9 + 1/2 = 1/x
Let x = length of time it will take both hoses to work together
Multiply both sides by 18x.
2x + 9x = 18
10x = 18
x = 18/10
x = 9/5
x = 1.8 hours
In other words, if both hoses work together, the pool can be filled in 1 hour and 48 minutes.
Answer: The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle.
The formula for calculating the radius is different from calculating the diameter
Find radius
r= diameter/ 2
Radius is half of a diameter
While diameter is
d=2r
Step-by-step explanation:
243 counselors will be there
4(x + 7) = 38
Since there is no operation sign between the 4 and parenthesis, it makes it an automatic multiplication problem.
You would use distributive property to multiply each which should leave your equation looking like this afterwards:
4x + 28 = 38
(4 times x and 4 times 7)
You would then solve it like a two step equation,
1. +28 - 28 = 0
2. 38 - 28 = 10
4x = 10
10 divided by 4 = 2.5
x = 2.5
We can recheck our work by substituting in the value of x.
4(2.5 + 7) = 38
10 + 28 = 38
When we substituted in the value, it gave us the correct inequality.
Therefore,
x = 2.5
Answer:
B) f(x) ≥ 3x + 4
g of x is less than or equal to negative one half times x minus 5
Step-by-step explanation:
From the above graph,
If point B is the solution of the system of inequalities, then point B must satisfies both inequalities
We can see from the graph that
Point B is located above (≥) the boundary line for f(x) and is also below (≤) the boundary line for g(x).
So we can say,
Point b satisfies the inequalities
Therefore,
The system is
f(x) ≥ (3x+4)
g(x) ≤ (-1/2x -5)
Hopes this Helps :)
