Answer:
there is a 15/80 chance she will pick a black pen
there is also a 65/80 chance she will pick a blue pen
Step-by-step explanation:
The described picture frame can be visualized into two separate parts. The first area is equal to the area using the outermost dimensions for the length and width.
Area = Length x Height
Area = (20 in) x (14 in)
Area = 280 in²
We are given that the area is only equal to 192 in². We subtract this value from the computed area.
Difference = 280 in² - 192 in²
difference = 88 in²
This area is equal to the area of the hollow space inside the frame. That is equal to,
height = 20 in - 2x
length = 14 in - 2x
The area,
88 = (20 - 2x)(14 - 2x)
Simplify the right hand side of the equation.
88 = 280 - 68x + 4x²
Divide the equation by 4,
22 = 70 - 17x + x²
Transposing,
x² - 17x - 48 = 0
The factors of the equation is 58.2.
Thus, the thickenss is equal to 58.2 in
Answer:
E' (-2,5)
F' (-3,1)
G' (-2,-1)
H' (0,3)
Step-by-step explanation:
The rule for 90 degree clockwise rotation is (h,k) -> (k,-h). This means flip the x-value's sign and then switch x and y's position. For example E (-5,-2), first flip x's sign (5,-2) and then switch x and y's places (-2,5).
Answer:
B) 0.4 (6 - 2w)
Step-by-step explanation:
You can only add or subtract with the numbers that have the same variable:
You can only add -2.2w and 1.4w
Which is -0.8w
Then add 4.8 and -2.4
Which is 2.4
Now the equation is -0.8w+2.4 or 2.4-0.8w
0.4 times 6 is 2.4
0.4 times 2w is -0.8w
Which is the same
-0.8w+2.4 or 2.4-0.8w
Hope this helps!
