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:
(0,2)
Step-by-step explanation:
in any y = mx + b formula, b is always the y intercept, and the y intercept is just a fancy name for where the line first crosses the y axis. hope this helps!
Answer:
for the second column it is 12.5
for the third column it is 20%
for the fourth column it is 120%
for the fifth column it is 33%
for the sixth column it is 11.35
for the seventh column it is 900
for the 8th column it is 60%
for the final column it's 39
Step-by-step explanation:
First you need to get all variables on one side. You do that by multiplying the reciprocal of the fraction to everything.
N(5/1) x 1/5(5/1)=2/15(5/1)
5n=2/15 x 5/1
Then solve the multiplication problem
5n= 10/15
Then you should reduce the fraction
5n=2/3
Then divide both sides by 5
5n/5=N
2/3 divided by 5 =2/15
N=2/15
In this item, we will be able to form a system of linear equation which are shown below,
292 = 400x + y
407 = 900x + y
where x is the percent of the commission that he gets and y is the wage. The values of x and y from the equations are 0.23 and 200. This means that Justin earns a fixed wage of 200 per day and a commission which is equal to 23%.
Substituting the known values to the equation,
S = (0.23)(3200) + 200 = 936.
Therefore, Justin could have earned $936 had he sold $3,200 worth of merchandise.
