Answer: 30% as a decimal is 0.30 rounded to the nearest thousandth is 0.3000
Step-by-step explanation:
Hope this helps ;)
.20 or 20. one of those i cant give you the answer because how are u going to learn <span />
Answer:
![m_1 = m_2 = 4](https://tex.z-dn.net/?f=m_1%20%3D%20m_2%20%3D%204)
Step-by-step explanation:
Given
![y = 4x + 1](https://tex.z-dn.net/?f=y%20%3D%204x%20%2B%201)
![y = 4x + 10](https://tex.z-dn.net/?f=y%20%3D%204x%20%2B%2010)
Required
Show that these two lines have no point of intersection
The general equation of a line is
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where m represents slope
In ![y = 4x + 1](https://tex.z-dn.net/?f=y%20%3D%204x%20%2B%201)
![m = 4](https://tex.z-dn.net/?f=m%20%3D%204)
Similarly; in ![y = 4x + 10](https://tex.z-dn.net/?f=y%20%3D%204x%20%2B%2010)
![m = 4](https://tex.z-dn.net/?f=m%20%3D%204)
Since the slope of both lines are equal;
![m_1 = m_2 = 4](https://tex.z-dn.net/?f=m_1%20%3D%20m_2%20%3D%204)
<em>This implies that the lines are parallel and parallel lines have no point of intersection</em>
<em></em>
<em>See Attachment for Graph</em>
1. Construction
First multiply 8 to 10 to get the area
8 x 10 = 80 feet
Times by 1.75 to get the cost
80 x 1.75 = 140
The cost would be $140
2a. 2/4 + 1/4 = 3/4
You need to get a common denominator to add fractions. You need to think what times 2 is 4 and times it to both the denominator and the numerator
2b. 6/8 + 1/8 = 7/8
2c. 5/8 + 4/8 = 9/8 which is also equal to 1 and 1/8
3a. 0.47n = 14
29.7872340426
3b. 11.25
3c. 17. 647058823%
Answer:
Step-by-step explanation:
Let the width of the rectangular storage room be=x feet. Then, the length of the rectangular storage room is= (x+5) feet.
The area of the room =104 square feet
⇒![Length{\times}breadth=104](https://tex.z-dn.net/?f=Length%7B%5Ctimes%7Dbreadth%3D104)
⇒![x(x+5)=104](https://tex.z-dn.net/?f=x%28x%2B5%29%3D104)
⇒![x^{2}+5x-104=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%2B5x-104%3D0)
⇒![x^{2}+13x-8x-104=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%2B13x-8x-104%3D0)
⇒![x(x+13)-8(x+13)=0](https://tex.z-dn.net/?f=x%28x%2B13%29-8%28x%2B13%29%3D0)
⇒![(x-8)(x+13)=0](https://tex.z-dn.net/?f=%28x-8%29%28x%2B13%29%3D0)
⇒x=8 and x=-13
Neglecting the negative value, we have the width of the rectangular storage room=x=8 feet.
Therefore, the length of the rectangular storage room=x+5=8+5=13 feet.
So, the dimensions of the room are 8 feet and 13 feet.