Answer:
4 hours
Step-by-step explanation:
The distances and average speeds for the first two days driven are show below.
Step 1
We calculate the total distance covered in the first two days
First day: 6 hours at an average speed of 60 miles per hour
Hence:
1 hour = 60 miles
6 hours = x
x = 60 × 6
x = 360 miles
Second day: 4 hours at an average speed of 65 miles per hour
Hence:
1 hour = 65 miles
4 hours = x
x = 65 × 4
x = 260 miles
The distance covered for the first two days =
(360 + 260)miles
= 620 miles
Step 2
The total distance for the entire trip = 820 miles
Hence, the distance left to cover on the third day = (820 - 620)miles
= 200 miles
In the question, we are told:
If the average speed on the third day is 50 miles per hour,
The number of hours it will take for them to reach their family friends home is calculated using the formula
Time = Distance/Speed
Time = 200 miles/50 miles per hour
Time = 4 hours
The slope intercept of a line is given by y=mx+c, where:
m=slope, c=y-intercept.
Thus the slope-intercept form of our equation will be:
-6+2y≤42
adding 6 in both sides we get:
-6+6+2y≤42+6
2y≤6
dividing both sides by 2 we get:
(2y)/2≤6/2
y≤3
the answer is y≤3
Step-by-step explanation:
44-9=35
35-9=26
26-9=17
17-9=8
Answer:
The answer is ⇒ x = 0.73244
Step-by-step explanation:
∵ 90^x = 27 ⇒ insert log in both sides
∴ 
∵ 90 = 9 × 10 , 27 = 3³
∵ log(a)^<em>b</em> = <em>b</em><em> </em>log(a)
∴ log(9 × 10)^x = x log(9 × 10)
∴ 
∵ log(a × b) = log(a) + log(b)⇒log(9 × 10) = log(9) + log(10)
∴ ![x[log(9)+log(10)]=3log(3)](https://tex.z-dn.net/?f=x%5Blog%289%29%2Blog%2810%29%5D%3D3log%283%29)
∵ log(10) = 1 , 9 = 3²
∴ ![x[log(3)^{2}+1]=3log(3)](https://tex.z-dn.net/?f=x%5Blog%283%29%5E%7B2%7D%2B1%5D%3D3log%283%29)
∴ ![x[2log(3)+1] = 3log(3)](https://tex.z-dn.net/?f=x%5B2log%283%29%2B1%5D%20%3D%203log%283%29)
∴ x = (3log3)/[2log(3)+1]
∴ x = 0.73244
