Answer:
<em>4</em>
Step-by-step explanation:
3x + 5 > 16
3x > 16 - 5
3x > 11
x > 11 / 3
x > 3.6666...
The smallest value would be 4.
The ratio is 47.5 miles per day. Multiply 47.5 and 6, and you get 285.
You would travel 285 miles in 6 days.
Answer:
60 miles per hour
Step-by-step explanation:
They are driving a mile a minute, so they are going 60 miles per hour.
Answer:
22 2/9
Step-by-step explanation:
When z "varies jointly" with x and y, it can be described by the formula
z = kxy
Here, we have bags of mulch (n) varying jointly with area (a) and depth (d), both in feet. The given information can let us find the value of k.
n = kad
10 = k·(120)(1/4)
10/30 = k = 1/3 . . . . . divide by the coefficient of k
Now, we can fill in the other values of interest.
n = (1/3)·(200)·(1/3) = 200/9
n = 22 2/9
You need 22 2/9 bags of mulch to cover 200 ft² to a depth of 4 inches.
_____
<em>Comment on the problem</em>
This problem requires the formula be written with both area and depth expressed in feet, yet it gives depth in inches. The formula can also be written using depth in inches. In that case, k = 1/36.
Answer:
21 + 12i
Step-by-step explanation:
Given
(3 - 4i)(1 + 5i) - (2 - i) expand the product of factors
= 3 + 11i - 20i² - 2 + i
= 3 + 11i + 20 - 2 + i collect like terms
= 21 + 12i
