Answer:
4/100 is the fraction
Step-by-step explanation:
there are four blue blocks shaded out of the 100
Let shirts be x and ties be y
3x+5y=$60 Equation 1 (Equation 1 will be denoted by *)
2x+3y=$39 Equation 2 (Equation 2 will be denoted by !)
*x2 6x + 10y = $120
!x3 6x + 9y = $117
*-! y = 120-117 =3
Ties are $3 each
Substitute this value back into one of the original 2 equations:
3x+5y=$60
3x+(5x3) = 60
3x+15=60
3x=45
x=15
Shirts are $15
complete question:
A mini game cube is covered in different colors and has a side length of 1.8 inches. Which of the following would represent the amount of space covered in various colors?
A. 116.64 in2
B. 3.24 in2
C. 19.44 in2
D. 10.8 in2
Answer:
C. 19.44 in2
Step-by-step explanation:
A cube is a 3 dimensional figure bounded by 6 square faces. All the sides of a cube are equal in length. The picture below is a cube. The amount of space covered in different colors will be the surface area of the cube.
surface area = 6L²
where
L = length
L = 1.8 inches
surface area = 6 × 1.8²
surface area = 6 × 3.24
surface area = 19.44 inches²
We'll first clear a few points.
1. A hyperbola with horizontal axis and centred on origin (i.e. foci are centred on the x-axis) has equation
x^2/a^2-y^2/b^2=1
(check: when y=0, x=+/- a, the vertices)
The corresponding hyperbola with vertical axis centred on origin has equation
y^2/a^2-x^2/b^2=1
(check: when x=0, y=+/- a, the vertices).
The co-vertex is the distance b in the above formula, such that
the distance of the foci from the origin, c satisfies c^2=a^2+b^2.
The rectangle with width a and height b has diagonals which are the asymptotes of the hyperbola.
We're given vertex = +/- 3, and covertex=+/- 5.
And since vertices are situated at (3,0), and (-3,0), they are along the x-axis.
So the equation must start with
x^2/3^2.
It will be good practice for you to sketch all four hyperbolas given in the choices to fully understand the basics of a hyperbola.
Answer:
54
Step-by-step explanation:
Since there are parantheses or however you spell them, by using PEMDAS, we do the parantheses first.
23 - 1 = 22
Now, we do the addition.
22 + 32 = 54
