Madison delivers sandwiches for jakes deli. she is paid an hourly rate plus a standard amount to cover expenses. in one week, she worked 10 hours and was paid $120. another week she worked 8 hours and was paid $100. which equation represents madison's pay for working x hours

a. y= 20x + 10

b y= 12x+4

c. y=10x+20

d. y= 8x+10

note- explain how you got the anwser

  C.  y=10x+20

Step-by-step explanation:

Madison worked 2 more hours the first week than the second week, and was paid $20 more. Thus, her hourly pay must be $20/2 = $10.

The only equation that multiplies hours by 10 is that of selection C.

Check

Filling in x=10, we get y=120, corresponding to Madison's first week's pay.

Filling in x=8, we get y=100, corresponding to Madison's second week's pay.

The equation we chose (y=10x+20) represents Madison's pay for working x hours.

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).