Answer:
I believe it is C
Step-by-step explanation:
<u>Answer</u>:
See below!
<u>Explanation</u>:
- distance = speed * time
- speed = distance/time
- time = distance/speed
<u>equation for distance</u>:
Lets Ben hours be x and Landon hours be y,
60x + 56y = 820 .........equation 1
<u>equation for time</u>:
x + y = 14 .........equation 2
Make x the subject:
60x + 56y = 820
x = (820 - 56y)/60 ..........equation 3
x + y = 14
x = 14 - y ........equation 4
Solve equation 3 and 4 simultaneously:
- 14 - y = (820 - 56y)/60
- 60(14 - y) = 820 - 56y
- 840 - 60y = 820 -56y
- 840 - 820 = -56y + 60y
- 20 = 4y
- y = 5
[ Therefore Landon drove 5 hours ]
Extra's further investigated:
if y = 5
- x = 14 - y
- x = 14 - 5
- x = 9
[ Therefore Ben drove 9 hours ]
Answer:
x =
Step-by-step explanation:
In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 13 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.
35x - 13x = x - 1
→ Simplify
22x = x - 1
→ Minus x from both sides to isolate -1
21x = -1
→ Divide both sides by 21 to isolate x
x =
Answer:
-1/3
Step-by-step explanation:
Since we have two points on the line, we can use the slope formula
m= ( y2-y1)/(x2-x1)
m = ( 8-9)/(5-2)
= -1/3