Answer:
The equation for the relationship between the weight and number of months is 
Step-by-step explanation:
we know that
A linear equation in slope intercept form is equal to
where
m is the slope
b is the y-coordinate of the y-intercept (value of y when the value of x is equal to zero)
or say b is the actual weight of the wrestler.
In this problem
m=5.5 kg/month
Let
W ⇒ the sumo wrestler's weight in kg (dependent variable)
t ⇒ the time in months (independent variable)
The linear equation is equal to
where
b is the actual weight when he started the diet.
Now Given
W = 140 kg
t = 11 months
substitute in the linear equation to find the value of b
Hence,The equation for the relationship between the weight and number of months is
<span>In elementary geometry, a polyhedron is a solid in three dimensions with flat faces, straight edges and sharp corners or vertices. This means that the polyhedra among these are all (tetrahedron, octahedron, dodecahedron, and cube) except for pool. </span>
-- The filler pipe can fill 1/6 of the pool every hour.
-- The drainer pipe can drain 1/10 of the pool every hour.
-- When they're filling and draining at the same time, the filler pipe
will win eventually, because it finishes more of the pool in an hour
than what the drain pipe can finish in an hour.
-- When they're filling and draining at the same time, then every hour,
1/6 of the pool fills and 1/10 of it empties. The difference is (1/6) - (1/10).
To do that subtraction, we need a common denominator.
The smallest denominator that works is 30.
1/6 = 5/30
1/10 = 3/30 .
So in every hour, 5/30 of the pool fills, and 3/30 of the pool empties.
The result of both at the same time is that 2/30 = 1/15 fills each hour.
If nobody notices what's going on and closes the drain pipe, it will take
<em><u>15 hours</u></em> to fill the pool.
If the drain pipe had <em><u>not</u></em> been open, the filler pipe alone could have filled
the pool <em><u>2-1/2 times</u></em> in that same 15 hours. With both pipes open,
1-1/2 pool's worth of water went straight down the drain during that time,
and it was wasted.
I would say that the school should take the cost of 1-1/2 poolsworth out
of Ms. Charles' pay at the rate of $5 a week. I would, but that would
guarantee her more job security than she deserves after pulling a stunt
like that.
I hope this did not take place in California.
Answer:
x=18
Step-by-step explanation:
So (3x+20)° and (5x-16)° are angles that are vertically opposite to each other; which means that they are equal to one another. Which means we can say:
(3x+20)=(5x-16)
20+16=5x-3x
36=2x
x=18
*and the two angles are 74°
