We know that
<span>Joey and Rita paint a room in 8 hours
so
100%----------> 8 hours
X%----------> 1 hour
x=100/8-----> 12.5%
that means
</span>Joey and Rita paint 12.5% of a room in 1 hour
Billy paint a room in 12 hours
so
100%----------> 12 hours
X %------------> 1 hour
x=100/12----> x=8.33 %
that means
Billy paint 8.33% of a room in 1 hour
i<span>f all three work together
then
All three paint (12.5%+8.33%) in 1 hour
20.83%------------> 1 hour
100%------------> x
x=100/20.83-----> x=4.8 hours
the answer is
4.8 hours</span>
Answer:
x = 2/3 or 0.666...
Step-by-step explanation:
-3 + 1 + 10x = x + 4
-2 + 10x = x + 4
10x = x + 4 + 2
10x = x + 6
10x - x = 6
9x = 6
x = 6/9
x = 2/3 or 0.666...
Answer:

Step-by-step explanation:
The standard form of an equation of a circle:

(h, k) - center
r - radius
We have the endpoints of the diameter of a circle (-8, -6) and (-4, -14).
The midpoint of a diameter is a center of a circle.
The formula of a midpoint:

Substitute:

We have h = -6 and k = -10.
The radius is the distance between a center and the point on a circumference of a circle.
The formula of a distance between two points:

Substitute (-6, -10) and (-8, -6):

Finally we have

Log₄(2 – x) = log₄(–5x – 18).
Since the logs have the same basis (4) & are equal then:
(2 – x) = (–5x – 18). . Now solve for x & you will find x = -5
Answer:
The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft
Step-by-step explanation:
we have the perimeter as 1000
So the sum of the lengths will be
1000/2 = 500
The dimensions that will maximize these pens will be such that they will have equal values
Mathematically, that will be 500/2 = 250 by 250