x*5 - quarter amount
(x+15)*25- nickels amount
(x*5)+((x+15)*25)=735
5x+25x+375=735
30x=735-375
30x=360
x=360/30=12 - number of nickels
x+15=12+15=27 - number of quarters
CHECK
12*5=60 ¢
27*25=675 ¢
675+60=735 ¢ or $7.35
Answer:
Step-by-step explanation:
#1:
division sign means that we flip the fraction
now we can multiply all the constants together and all variables
now we can combine all the parts
#2:
Answer:
6c^2(-40 + 5c^3 + 3c^2)
Step-by-step explanation:
These three terms have the common factor c^2. Thus:
-240c^2+ 30c^5+ 18c^4 = c^2(-240+ 30c^3+ 18c^2).
Recognizing that 6 is common to all three terms inside the parentheses, we get:
6c^2(-40 + 5c^3 + 3c^2) This is as far as factoring of this expression can be taken.
b.
Bedroom area
Lenght = 5 squares
= 5 × 1/4 inchi
= 5/4 inchi
Width = 4 squares
= 4 × 1/4 inchi
= 1 inchi
Large area = 5/4 × 1 inchi
= 5/4 inchi
Living room
Lenght = 7 squares
= 7 × 1/4 inchi
= 7/4 inchi
Width = 4 squares
= 4 × 1/4 inchi
= 1 inchi
Large area = 7/4 × 1 inchi
= 7/4 inchi
Total Area
Bedroom area + Living room area
= 5/4 + 7/4
= (5+7)/4 inchi
= 12/4 inchi
= 3 inchi
1 square yard = 1296 square inches
so 1 square inches = 1/1296 square yard
3 inchi = 3×1/1296
= 3/1296
= 1/432
Cost = 1/432 × $18
= $1/24
It would cost $1/24 to carpet the bedroom and living room.
