Answer:
262 and 263 are consecutive natural numbers whose sum is 525.
Step-by-step explanation:
Natural number are a subset of real numbers consisting in positive integers (i.e. 1, 2, 3, 525) and two natural numbers are consecutive when distance between each other is equal to 1. (
,
) We can interpret the statement mathematically by means of the following expression:



Where
,
,
.
This system is reduced to a single equation and solved afterwards:




Now we evaluate
and
to obtain the natural numbers:


262 and 263 are consecutive natural numbers whose sum is 525.
Answer:
39.19 yards^2
25.15 yards
Step-by-step explanation:
To determine the squares square yards of carpet needed, we have to determine the area of the room
The room is shaped like a rectangle
area of a rectangle = length x breadth
5.7 x 6 7/8
To multiply, convert 6 7/8 to a decimal
to do this, divide 7 by 8. Add the value gotten to 6
5.7 x 6.875 =39.19 yards^2
To determine the yards needed for the border, calculate the perimeter of the room
Perimeter = 2 x (length + breadth)
2 x(5.7 + 6.875) = 25.15 yards
To find the combined volume, you will find the volume of each figure separately and then add them together. You will use the formulas for each polyhedra (3-D) shape.
V = 1/3 Bh (pyramid); B stands for the area of the base of the figure
V = 1/3 x 8 x 8 x 3
V = 64 cubic inches
V = Bh (prism)
8 x 8 x 4
V = 256 cubic inches
256 + 64 = 320 cubic inches
The total volume of the box is 320 cubic inches.
That should be 1/1 because if you do 4/1 or 2/1, that would be greater than 1. Also, since you can't do anything with the numerator above 1, 1/1 would be the greatest unit fraction between 0 and 1
Answer:
$57
Step-by-step explanation:
$380x0.85=$323
$380-$323=$57