Answer:
Option A: 6 to 9 , 9/12 is the correct answer.
Step-by-step explanation:
The equivalent ratios simplify to same simple ratio.
In case of this question, we have to check which to the ratios doesn't simplify to 3:4 or 3/4
Option A:
6 to 9 , 9/12
6 to 9 can be written as:
9/12 simplifies to 3/4
But as one of the ratio doesn't simplify to 3:4 which means 6 to 9 is not equivalent to 3:4
Hence,
Option A: 6 to 9 , 9/12 is the correct answer.
Answer:
Just pick 2 coins to compare (I mean the directions say compare 2).
Step-by-step explanation:
Answer:
Each dimension increased by 3 ft.
Step-by-step explanation:
Area of the original rectangle = 4 * 6 = 24 square feet
Increased dimension = x ft
New length = 6 + x
New width = 4 +x
New area = (6 + x)(4 +x) {Use FOIL method}
= 6*4 + 6*x + x*4 + x*x
= 24 + 6x + 4x + x²
= x² + 10x + 24
New area = 24 + 39
x² + 10x + 24 = 63
x² +10x + 24 - 63 = 0
x² + 10x - 39 = 0
x² + 13x - 3x - 3*13 = 0
x (x + 13) - 3(x + 13) = 0
(x + 13)(x -3) = 0 {Ignore x + 13, as it gives negative value}
x - 3 = 0
x = 3
for pts (-5,12) and (-1,4)
gradient, m = (12 - 4)/(-5 - (-1)) = 8/-4 = -2
eqn of line, y = mx + c ...eqn 1
subst for m=-2 and 1 pt in eqn 1
12 = (-2) (-5)+c
c = 2
eqn of line...y = -2x + 2
