Answer:
the number of single room is 27 and the number of double room is 53
Step-by-step explanation:
Let x is the number of single room
Let y is the number of double room
We know that:
x + y = 80 <=> x = 80 -y (1)
80x +90y= 6930 (2)
Substitute (1) in (2) we have:
80 (80 - y) + 90y = 6930
<=> 6400 - 80y +90y = 6930
<=> y = 53
> x = 80 - 53 = 27
the number of single room is 27 and the number of double room is 53
Answer:
The answer is A. Substitution
Step-by-step explanation:
Looking at the previous proofs, you can see that:
∠Y≅∠4
∠Z≅∠6
∠X + ∠4 + ∠6 = 180°
Statement 5 then replaces ∠4 and ∠6 with ∠Y and ∠Z, respectively. Replacing it means that it was substituted with the GIVEN values by the previous statements.
The best answer is the Substitution.
By definition of absolute value, you have
or more simply,
On their own, each piece is differentiable over their respective domains, except at the point where they split off.
For <em>x</em> > -1, we have
(<em>x</em> + 1)<em>'</em> = 1
while for <em>x</em> < -1,
(-<em>x</em> - 1)<em>'</em> = -1
More concisely,
Note the strict inequalities in the definition of <em>f '(x)</em>.
In order for <em>f(x)</em> to be differentiable at <em>x</em> = -1, the derivative <em>f '(x)</em> must be continuous at <em>x</em> = -1. But this is not the case, because the limits from either side of <em>x</em> = -1 for the derivative do not match:
All this to say that <em>f(x)</em> is differentiable everywhere on its domain, <em>except</em> at the point <em>x</em> = -1.
<u>Answer:</u>
0.0005 oz
<u>Step-by-step explanation:</u>
Usually, the greatest number that is allowed for approximation, assuming that the number itself is obtained by approximation, is the greatest possible error of it.
It is normally half the place value of the last digit in a number.
Like here we have 
oz which is equal to 
oz. The last digit is 5 which is at the thousandth place (0.001) so the greatest possible error for this would be its half.
= 0.0005 oz
It will take Mr. Jenkins 1 hr and 20 minutes to cut all the grass.
To know how long it will take Mr. Jenkins to cut all the grass, get the total area of the lawn and divide it by the rate Mr. Jenkins cut the grass.
The area of the lawn can be calculated using the formula for the area of a rectangle given by:
A = l x w
where l is the length and w is the width.
Using this formula, the grass lawn that is 24 m wide and 30 m long has an area of:
A = l x w
where
l = 30 m
w = 24 m
A = 30 m x 24 m
A = 720 m^2
Meanwhile, the time it will take Mr. Jenkins to cut the grass lawn with an area of 720 m^2 can be computed using the rate.
amount = rate x time
720 m^2 = 9 m^2/minute x t
t = 720 / 9
t = 80 minutes = 1 hr 20 minutes
To know more about rate, visit brainly.com/question/24950565.
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