Answer:
The number is -79.
Step-by-step explanation:
Let's set up equation for the given information.
Let the number as 'x'
Negative 1 times the sum of one and seven times a number x could be written as -1(1+7 x).
Now, 6 times the difference of negative seven and a number could be written as
6(-7-x)
Now,
-1(1+7 x) decreased by 6(-7-x) equals 36
So, we can set up equation as
-1(1+7 x)-6(-7-x)=36
Solve the equation for x
-1-7 x-42+6 x=36
Combine like terms
-x-43 =36
Add both sides 43
-x=79
Divide both sides by -1.
x=79
I don't believe that there is a limit
Answer: X is 0.4
Explanation: I typed 5/2 x a bunch of random numbers and decimals on a calculator until I tried 0.4 and when I typed 5/2 x 0.4 on the calculator it said 5/2 x 0.4 = 1.
Given:
Perimeter of a rectangular paper = 22 inches.
Area of the rectangular paper = 28 square inches.
To find:
The dimensions of the rectangular paper.
Solution:
Let l be the length and w be the width of the rectangular paper.
Perimeter of a rectangle is:
Perimeter of a rectangular paper is 22 inches.
...(i)
Area of a rectangle is:
Area of the rectangular paper is 28 square inches.
Using (i), we get
Splitting the middle term, we get
Using zero product property, we get
If 
, then by using (i)
If 
, then by using (i)
Therefore, the dimensions of the paper are either 
or 
.
The formula of cone's capacity is V = (1 / 3) (pi x r x h)
we know that r = 3.5, we must find h, the slant height is H=6.5, applying pythagorean theorem h ^2 = H^2, so h= sqrt (H^2 - r^2)
h = sqrt (6.5^2 - 3.5^2) = 5.47
finally, V = (1 / 3) (3.14 x 3.5 x 5.47) = 20.03 cm^3
the surface are is A = pi x r x H = 71.43 cm^2
