Bring the 7 over to the other side, so you have 4x²-12x-7. Then: (2x-7)(2x+1)
X= 7/2 and -1/2
Well, notice the composite is really just 4 triangles atop sitting on top of 4 rectangles, and all of them area stacked up at the edges.
so, for the rectangle's sides,
front and back are two 6x3 rectangles
left and right are two 6x3 rectangles
the bottom part is a 6x6 rectangle
now, we don't include the 6x6 rectangle that's touching the triangles, because that's inside area, and is not SURFACE area, so we nevermind that one.
now, the triangles are just four triangles with a base of 6, and a height of 4, in red noted there.
so, just get the area of all those rectangles and the triangles, sum them up and that's the
surface area of the composite,
Answer:
(1) The ratio of number of $5-bill to number of $10-bill is: 1/4;
(2) The ratio of number of the $5-bill to number of $10-bill is: x/ [(72-x)/2] in which x is the number of $5-bill and x must be either 0 or an even positive integral ( as their is insufficient information given, there can be many ratios that suit into the given information as long as the condition on x is met).
Step-by-step explanation:
(1) Denote x is the number of $5 bill and y is the number of $10 bill, in which x and y should be >= 0 and is an integral number.
We have (x+y) / (5x + 10y) = 1/9 <=> 9x + 9y = 5x + 10y <=> 4x = y <=> x/y =1/4 .
(2) Denote x is the number of $5 bill, y is the number of $10 bill.
We have: 5x + 10y = 360 <=> x = [ 360 - 10y ] /5 <=> x = 72 - 2y <=> y = (72 - x)/2 => x/y = x/[(72-x)/2] in which x must be must be either 0 or an even positive integral so that y can be identified in order to match with the given information .
Answer:

Explanation: Over the summer, Nancy exercised daily, and her weight went 145 pounds to 132 pounds. we need to find the percent change:
Change in weight is:

Change is percent is: