Answer:
12:5
Step-by-step explanation:
To calculate the ratio, we must first find the values of the two expenditures. The amount spent on renting a hall was 60% of £1000. To represent percentages in decimals, we can simply divide the percentage by 100, resulting in 0.6 here. We can then multiply this value by 1000 to get the amount spent on renting a hall, which comes out to £600
The ratio is then 600 : 250, 60 : 25 (divide both sides by 10) , or 12:5 (divide both sides by another 5)
5x+100=10x
-5x on both sides (10x-5x=5x)
100=5x
divide by 5 on both sides (100/5= 20)
20=x
For this case we convert the mixed numbers to fractions:
Dwight:
Mike:
It is observed, that in fact, Mike takes more time to travel the road.
We subtract to know how much more time it takes Mike:
So, Mike takes 
hours more than Dwight to walk the road.
Answer:
Mike takeshours longer than Dwight to walk the road.
Answer:
x² - 5x = 14
x = -2 or x = 7
Step-by-step explanation:
x² - 5x = 14
x² - 5x - 14 = 0
(x+2)(x-7) = 0
x = -2 or x = 7
Answer:
y = - 
x + 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4
y = 
x + 
← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= - , thus
y = - x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = - 
+ c ⇒ c = - 2 + =
y = - x + ← equation of perpendicular line
