5 2/3 is 51/9 as a mixed nuber
51/9––>17/3=5 2/3
Answer:
3 pieces
Step-by-step explanation:
Given: Figure
To find: Number of 8.5 in. × 11 in. pieces used to cover the floors of a room and a hallway in her dollhouse
Solution:
In the given figure, AC = 22 in.
AB + BC = 22 in.
AB + EF = 22 (As BC = EF being opposite sides of rectangle)
AB + 10 = 22
AB = 22 - 10 = 12 in.
Area of rectangle ABGH = AB × AH = 12 × 5 = 60 square inches
(area of rectangle = length × breadth )
CE = CD + DE = AH + GF (As CD = AH and DE = GF)
CE = 5 + 15 = 20 inches
Area of rectangle BCEF = BC × CE = 10 × 20 = 200 square inches
(BC = EF = 10 in.)
Total area of the figure = Area of rectangle ABGH + Area of rectangle BCEF = 60 + 200 = 260 square inches
Area of pieces of felt = 8.5 × 11
So,
Number of pieces required = Total area of the figure / Area of pieces of felt = 
3 pieces
Im guessing what you’re asking what that arrow means, its less than
In any equation with variables, you want to end with a variable isolated on one side with no coefficients(like x=4, for instance).
So, with that in mind, let's solve number 2.
5(x-3) - 2(2x+4) = -2(x-2)
Let's distribute the coefficients.
(5x-15)-(4x+8) = (-2x+4)
Simplify the left side first (by subtracting the two)
5x-4x = x
-15 - (+)8 = -23
So, left side is
x-23 = -2x+4
We're close now, just bring the x to the left side and the other values to the right
x-23 = -2x+4
+23 +23
x=-2x+27
+2x +2x
3x=27
divide by 3
x=9
3.
3(4x-5)-2(2x-2)=4(3x-2)+5
Same idea here; distribute the coefficients, and simplify.
(12x-15)-(4x-4)=(12x-8)+5
12x-4x=8x
-15-(-)4=-11
-8+5=-3
8x-11=12x-3
bring x to left, other numbers to right
-12x -12x
+11 +11
-4x = 8
divide by -4
x=-2
Answer:
3. The account gains $5.72 every year
Step-by-step explanation:
We can clearly see from the graph that the first 2 answers are both true:
In 2007 (the "2" on the x axis) there was 124.44 dollars in the account, and it gained more money from 2013-2015 than from 2005-2007.
Because #2 is correct we know that #4 is also correct. Exponential growth means that the growth is not constant but steadily rises. So because there's more money gained in later years than in earlier years, we know this is true.
#3 However conflicts with #4. If it gains exactly $5.72 every year then that would not be exponential growth.
So by process of elimination you get option #3 as the false statement.
Hope this helps! :)
