Answer:
Width=13cm
Length=18cm
Step-by-step explanation:
Width of the Initial Photograph=9cm
Length of the Initial Photograph=14cm
If width and length are increased by an equal amount, say x
New Width=9+x
New Length=14+x
Area of the new photo is 108 square centimeters greater than the area of the original photo.
Area of Original Photo=14*9=126cm²
Aeea of the New Photo=126+108=234cm²
Therefore:
(9+x)(14+x)=234
126+9x+14x+x²-234=0
x²+23x-108=0
x²+27x-4x-108=0
x(x+27)-4(x+27)=0
(x+27)(x-4)=0
x+27=0 or x-4=0
x=-27 or x=4
Since x≠-27
x=4cm
The dimensions of the new photo are:
Width=9+x=9+4=13cm
Length=14+x=14+4=18cm
Answer:
The area of the piece of construction paper is 
Step-by-step explanation:
Length of construction paper =
=
Width of construction paper = 
= 
Area of construction paper =
Area of construction paper = 
= 
Hence the area of the piece of construction paper is 
Answer:
The amount of white fabric to coloured fabric as a ratio is 20:11
Step-by-step explanation:
We are given that For each 11 mm of colored fabric Nick uses to make his curtains, he also uses 2 cm of white fabric.
Length of colored fabric = 11 mm
Length of White fabric = 2 cm
1 cm = 10 mm
2 cm = 20 mm
So, length of white fabric = 20 mm
So, Ratio of the amount of white fabric to coloured fabric = 
Hence the amount of white fabric to coloured fabric as a ratio is 20:11
Each notebook would be 68 cents because if you divide 15.85 into 3 you will get 2 cents then you add 1.23 then subtract .75
Answer:
x=-2
Step-by-step explanation:
-9x+1=-x+17
Add 9x on both sides:
1=8x+17
Subtract 17 on both sides:
-16=8x
Divide both sides by 8:
-2=x
Check x=-2!
-9x+1=-x+17 with x=-2
-9(-2)+1=-(-2)+17
18+1=2+17
19=19
19=19 is a true equation so x=-2 is correct.