Answer:
The independent variable is s
The dependent variable is c
Step-by-step explanation:
Identify the independent and dependent variables:
The equation c = 0.09s gives the amount c (in dollars) of commission a salesperson receives for making a sale of s dollars.
c = 0.09s
Where
c = commission the salesperson makes
s = amount of sales
The variables in the equation are c and s
The independent variable is s
The dependent variable is c because it's value is determined by the amount of sales of the salesperson
To demonstrate the statement “y varies directly as x”, you
will have to have this equation:
y = kx
Where k = constant of the variation
In this problem, you have to substitute the value of x and y
to calculate for the constant.
12 = k (4)
k = 3
The given expression is:
4 - 8 (3/4) + 1/4
To start, we will convert all the numbers to be having a denominator of 4 as follows:
4 is equivalent to 16/4
-8 (3/4) is equivalent to -24/4
1/4 already has 4 as a denominator
Now, the new expression became:
16/4 - 24/4 + 1/4
Since they all have a common denominator, the result can be computed by adding numerators as follows:
16/4 - 24/4 + 1/4
= (16-24+1) / 4
= -7/4
The correct choice is:
A. -7/4
Answer:
To find the distance between two points, use the distance formula.
It will be the square root of (x2-x1)squared + (y2-y1)squared.
Use (3,-4) as x1, y1. Use (5,1) as x2, y2.
We get the square root of (5-3)squared + (1- -4)squared.
That gives us the square root of 2 squared + 5 squared.
Now we have the square root of 4 + 25, = the square root of 29.
That is the distance between the two points
Step-by-step explanation:
No rounding is necessary to answer the question.
We can subtract the (linear) density of the second box from that of the first to see which box is heavier per unit height.
This value is obviously less than zero, so ...
... the box of magazines has the greater mass per unit height.
_____
The question didn't ask for the mass per height, and we didn't compute it. All we did was make a conversion to comparable units. The units we ended up with are mixed English and metric units, but that doesn't matter for the purpose of comparison.
Since all we're really interested in is <em>the sign of the difference</em> of mass/height, we don't even need to actually compute that difference. We just need to do enough computation to be able to tell whether the sign is positive or negative.
