Answer:
D
Step-by-step explanation:
Firstly, we need to get the value of x 1-7 < 3x
-6 < 3x
-2 < x
or x > -2
So we need a number line that has the unshaded circle placed at 2 ( since the inequality sign is single) and it faces the right (arrow face right)
I have to edit your expressions. If do not guess the right expressions you can do the maths because I will give you the procedure step by step.
1) Dimensions: 2x, 5x + 3, 3x + 1.
2) Volume of water: 22x^3 + 18x^2 + 3x [I changed the exponent of 18x^3 to 18x^2 because I think there was a mistake]
3) Calculations:
Volume of the tank = (2x)(5x+3)(3x+1) = 2x(15x^2+5x+9x+3) = 2x(15x^2+14x+3) =
= 30x^3+28x^2+6x
Volume of water = 22x^3 + 18x^2 + 3x
Volumen of the block = volume of tank - volume of water =(30x^3+28x^2+6x) - ( 22x^3 + 18x^2 + 3x) = 30x^3 +28x^2 +6x -22x^3 -18x^2 -3x =
= 8x^3 + 10x^2 + 3x
Now we can factor this last polynomial:
x(8x^2 + 10x +3) =x(2x+1)(4x+3).
The the dimensions of the metal block are x, 2x+1, 4x+3
Lest assume Length=y and width=x
y= 3x+2
p=2(x+y)
100=2(x+3x+2)
100/2=4x-2
50+2=4x
52/4=x
x=13
the width is 13 m
Answer:
when you divide you get -11/12
if you have a calculator you could add the 5/8 and 3/4
then add the -2/3 and the -5/6
then divide the first answer by the second answer