Step-by-step explanation:
![\frac{x + 6}{ x} = \frac{5}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%2B%206%7D%7B%20x%7D%20%20%3D%20%20%5Cfrac%7B5%7D%7B2%7D%20)
Then collect like terms
answer is x = 4
Answer: 43 yards.
Step-by-step explanation:
Let the shape of the area occupied for festival be rectangle.
and area of rectangle = length x width
Given: Area of the festival= 2,494 square yards.
Length of the festival= 58 yards
Then width = (Area )÷ (length)
= (2494)÷58 yards
= 43 yards
hence, the width of the festival = 43 yards.
Answer:
The material will be used for 24 days.
Step-by-step explanation:
Given that:
Materials made in a month = 240 tonnes
More materials to be made = 60 tonnes
Total material to be made = 240+60 = 300 tonnes
Days in a month = 30 days
Materials : Days
240 : 30
300 : x
As the production is increasing, the material will be used before 30 days.
This is an inverse proportion.
![\frac{240}{300}=\frac{x}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B240%7D%7B300%7D%3D%5Cfrac%7Bx%7D%7B30%7D)
Using cross multiplication;
300*x = 240*30
300x = 7200
Dividing both sides by 300
![\frac{300x}{300}=\frac{7200}{300}\\x=24](https://tex.z-dn.net/?f=%5Cfrac%7B300x%7D%7B300%7D%3D%5Cfrac%7B7200%7D%7B300%7D%5C%5Cx%3D24)
Hence,
The material will be used for 24 days.
Answer: n=-5
Step-by-step explanation:
distribute: 0.6(10n+25)=10+5n 0.6(10n)= 6n 0.6(25)=15 so then you put the problem together again... 6n+15=10+5n then you cancel out the n variable... 10-15=-5 6n=-5+5n 6n-5n=1n 1n=-5 -5/1 n=-5
Answer:
B) -2
Step-by-step explanation:
The formula to determine the slopes is:
Slope = (y2-y1)/(x2-x1)
(3-(-7))/(-1-(4))=10/-5=-2