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:
The charges will be the same after 10 miles.
Step-by-step explanation:
Long Beach Towing Company:
Charges $40 plus $5 per mile. So after x miles, the charge will be of:

Five-Star Towing Company:
Chargers of $70 plus $2 per mile. So after x miles, the charge will be of:

After how many miles the charges for the two companied will be the same?
This is x for which:

So





The charges will be the same after 10 miles.
Answer:
+$90;
$1,600
Step-by-step explanation:
The equation,
, given to us tells us much about the situation described above.
y = total pay
x = number of copies of Math is fun
1600 = y-intercept, that is the starting value or the pay he gets only if Sam sold 0 copy of Math is fun. That is, when x = 0, y = 1,600.
90 = unit rate or the change in the total pay for each copy of Math is fun that Sam sells.
Therefore, our answers would be:
+$90, and $1,600
Answer:
x = 5
Step-by-step explanation:
because the log is base 2 you can remove the log by raing 2 to the power of each side:

the 2 and log2 cancel leaving:

this means we can now solve through simple algebra:

The answer is 623/800 and that is in simplest form.