Let's me simply step-by-step.
Distribute the Negative sign:
x-5-(4x+2)
x-5-1(4x+2)
x-5-4x-2
(x-4x)+(-5-2)
-3x-7
the answer was -3x-7
and I hope that works you
9514 1404 393
Answer:
10,450 cm³
Step-by-step explanation:
The volume is the product of the area of the facing face and the depth of the figure. The area of the facing face is the sum of the areas of a rectangle and a triangle. The relevant area formulas are ...
A = bh . . . . . area of rectangle with base b and height h
A = 1/2bh . . . area of triangle with base b and height h
Here the rectangle and triangle have the same base, 19 cm. Then the sum of the areas is ...
Atot = (19 cm)(18 cm) + 1/2(19 cm)(14 cm)
Atot = (19 cm)(18 cm +1/2×14 cm) = (19 cm)(25 cm) = 475 cm².
Then the volume of the figure is ...
V = Bh = (475 cm²)(22 cm) = 10,450 cm³
_____
<em>Additional comment</em>
Effectively, this is the volume of a cuboid whose height is that of the bottom rectangular prism (18 cm) plus half the height of the triangular prism on top (1/2×14 cm = 7 cm). (18+7=25) The volume is essentially 19 cm × 25 cm × 22 cm. This recognition can serve to simplify the work or to act as a check on the work done some other way.
To get the product you have to times 42.3 by -6, which gives you 253.8.
If you are trying to find out the quotient then divide 42.3 by -6 which equals -7.05.
I find it easiest to subtract and add the percentages to make a multiplier, then use that.
After the man's discount, he pays (100% - 12%) = 88% of the list price. After tax, he pays (100% + 3%) = 103% of the discounted price.
The amount he actually pays is $255×0.88×1.03 = $231.13.
The best choice is ...
(B) $231.13
