Make the fractions improper:
33/4 + 14/5
Find common denominator:
165/20 + 56/20
Add:
221/20
Answer:
11 1/20
Answer:
1, -6
Step-by-step explanation:
Since there are alike numbers, add them together.
4x+x= 5x
Now the function is: f(x)= +5x-6
The function is in +bx+c form.
So find the factors of a x c = b.
Factors of -6(a) that fits (b)5 is (-1,6).
Then you just factor it:
f(x)= +5x-6
(x-1)(x+6)
x-1= 0 x+6=0
+1 +1 -6 -6
x=1 x=-6
Those are the real zeroes: 1, -6
(2)
we know that
when two lines do not intersect , they can be parallel lines or skew lines
so,
Lines that do not intersect are called <u>parallel or skew lines</u>
(4)
we know that
A circle is the set of all points in a plane that are equidistant from a given point
so,
The set of points in a plane that are equidistant from a given point form a <u>circle</u>
(8)
Moving a figure around a fixed point in the plane is called making <u>a image of the figure</u>
(3)
A <u>translation</u> of the plane is a transformation which shifts all the points in a plane figure, without altering the shape of the figure
(6)
All the points on a line that are between two given points form a line <u>segment</u>
Answer:
18 hours
Step-by-step explanation:
Let the volume of the pool be x. Since pipe A filled the pool in 6 hours, the rate of pipe A = x / 6.
Let the rate of pipe b be y, Hose A filled the pool alone for the first 2 hours, this means that the volume filled in the 2 hours is x/6(2 hours) and the two hoses, working together, then finished filling the pool in another 3 hours for the 3 hours the volume filled is x/6(3) + y(3). hence the total time is:
x/6(2) + x/6(3) + y(3) = x
x/3 + x/2 + 3y = x
Multiply through by 6:
2x + 3x + 18y = 6x
5x + 18y = 6x
18y = x
y = x/18
The rate of pipe B is x/18, this means it would take pipe B 18 hours to full the pool alone