Divide the whole (4 5/8 feet) by the size of the pieces (5/8 foot)
x= number of 5/8 foot pieces
x= 4 5/8 feet ÷ 5/8 foot pieces
*Multiply by 5/8 reciprocal (inverse)
*Change 4 5/8 to improper fraction
x= 37/8 * 8/5
x= (37*8) / (8*5)
x= 296/40
x= 7 4/10
*Simplify fraction
x= 7 2/5 or 7.4 pieces
There are 7 2/5 five-eighth foot sized pieces.
Hope this helps! :)
Check the attachment(s) for the graphs pertaining to the question
No. 1) Check graph [first attachment]
No. 2) y = (x - 2)^2 - 3, y = 1
(x - 2)^2 - 3 = 1,
(x - 2)^2 = 4
x - 2 = √4, x - 2 = - √4
x = 4, x = 0
Substitute back to determine the respectively y-value:
y = (4 - 2)^2 - 3 = (2)^2 - 3 = 4 - 3 = 1
Check: y = (0 - 2)^2 - 3 = (-2)^2 - 3 = 4 - 3 = 1
So the points of intersection are (4, 1) and (0, 1). According to the graph, that is correct.
Answer:
D. : Heat and Pressure
Step-by-step explanation:
(Before I explain, I think this question belongs to Science category, and not Mathematics. :)
3 factors turn sedimentary to metamorphic rocks. Heat, Pressure, and Chemical Active Fluids which formed.
The answer would be 7(a - 1)
Answer: The side of the square will be 3 cm.
Step-by-step explanation:
When squares of equal size of side x, are cut from the four corners, we are left with the following dimensions for the cuboid box.
l= 30-2x
b = 14-2x
h= x
Hence, the volume of the cuboid will be ,
V = lbh
= (30-2x)(14-2x)x
Since this volume should be the largest possible, then differentiating volume with x should be equal to zero.
Therefore, 

solving we get, x = 3, x = 
We can omit x =
because 14 - 2x < 0 , which is not possible.
Therefore, x=3.