Answer:
12.66 ![ft^2](https://tex.z-dn.net/?f=ft%5E2)
Step-by-step explanation:
Given the dimensions of the room are
=
and
=
.
The area of the room =![length*width](https://tex.z-dn.net/?f=length%2Awidth)
Area=![\frac{31}{4} *\frac{28}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B31%7D%7B4%7D%20%2A%5Cfrac%7B28%7D%7B3%7D)
Area=72.33 ![ft^2](https://tex.z-dn.net/?f=ft%5E2)
The area of the carpet=85 ![ft^2](https://tex.z-dn.net/?f=ft%5E2)
The area of carpet left= Total area of carpet - the area of the room
The area of carpet left= 85-72.33=12.66 ![ft^2](https://tex.z-dn.net/?f=ft%5E2)
Assuming we're dealing with
, which is the same as writing (x+2)/(-5) < 4, then the answer is choice C.
We multiply both sides by -5 and this will flip the inequality sign.
-------------------------------------
Multiplying or dividing both sides by a negative number flips the inequality sign.
An example would be saying -2x < 10 leads to x > -5
What we can do is divide both sides by -2 and flip the inequality sign, or we could follow the steps shown below
- -2x < 10
- 0 < 10+2x ... adding 2x to both sides
- -10 < 2x ... subtracting 10 from both sides; this is one way to see why the sign flip happens
- 2x > -10
- x > -10/2 ..... dividing both sides by 2
- x > -5
Answer:
an=1*2.5^(n-1)
=2.5^(n-1)
Step-by-step explanation:
Complete question below:
What value, written as a decimal, should Lena use as the common ratio? Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).
Solution
Point (1, 1), (2, 2.5), (3, 6.25).
a=1
ar=2.5
ar^2=6.25
From ar and ar^2
r=6.25/2.5
=2.5
r=2.5
an=ar^(n-1)
Therefore, the explicit formula is
an=1*2.5^(n-1)
=2.5^(n-1)
Answer:
3/4
Step-by-step explanation:
3/4 is one example of a fraction that is greater than 1/2. If 1/2 become 2/4, therefore 3/4 is a fraction which is greater than 1/2.
Answer:
The answer is 5 + 3x ≤ 50
Step-by-step explanation:
5 + 3x ≤ 50 - 5
3x ≤ 45
Divide by 3, x = 15