Answer:
It’s d
Step-by-step explanation:
Answer:
Cost to paint 4 walls of a room = $24.20
Cost of painting 3 walls of a room =$18.15
Step-by-step explanation:
(a) Abby purchased 4 2/5 gallons of paint to paint 4 walls of a room in her house.
1 gallon cost = 5.50
So 22/5 gallons cost = 
Cost to paint 4 walls of a room = $24.20
(b)cost of painting 4 walls of a room = $24.20
cost of painting 1 wall of a room = 
Cost of painting 3 walls of a room = 6.05 * 3= $18.15
3/4 in = 6 mi
? In = 32 miles
32 * 0.74 / 6 = 4 in
The distance apart is 4 in
For part B
the fixed cost is 500 dollars because it is a set inital amount, the varibale cost is .15 because it is the cost dependent on something else (per indicated variable part)
y=.15x+500
.15 cents per flyer, add 500 because that is the set amount it costs to even create the flyer
Plug in 500 for the equation
y=.15(500)+500
y=75+500
y=575
for part a
b=ka for direct variations so the direct one is C - two items directly multiplied
y=mx+b for partial variation so its A,D - basically the equation of a line
A is neither - shows neither of these relationships
Answer:
45
Step-by-step explanation:
AEF is a similar triangle to ABC. that means it has the same angles, and the sides (and all other lines in the triangle) are scaled from the ABC length to the AEF length by the same factor f.
now, what is f ?
we know this from the relation of AC to FA.
FA = 12 mm
AC = 12 + 28 = 40 mm
so, going from AC to FA we multiply AC by f so that
AC × f = FA
40 × f = 12
f = 12/40 = 3/10
all other sides, heights, ... if ABC translate to their smaller counterparts in AEF by that multiplication with f (= 3/10).
the area of a triangle is
baseline × height / 2
aABC = 500
and because of the similarity we don't need to calculate the side and height in absolute numbers. we can use the relative sizes by referring to the original dimensions and the scaling factor f.
baseline small = baseline large × f
height small = height large × f
we know that
baseline large × height large / 2 = 500
baseline large × height large = 1000
aAEF = baseline small × height small / 2 =
= baseline large × f × height large × f / 2 =
= baseline large × height large × f² / 2 =
= 1000 × f² / 2 = 500 × f² = 500 ×(3/10)² =
= 500 × 9/100 = 5 × 9 = 45 mm²
