Maria has already written Two-fifths of her 1,000 word essay. If she continues writing at the same pace of 6One-half words per minute, which expression shows the amount of time it will take her to write the rest of the essay? 1000 times two-fifths times StartFraction 13 Over 2 EndFraction 1000 times two-fifths divided by StartFraction 13 Over 2 EndFraction 1000 times three-fifths times StartFraction 13 Over 2 EndFraction 1000 times three-fifths divided by StartFraction 13 Over 2 EndFraction

The answer is

wdfhbgyqvfghjivucxzy7z6tsrfwqcr vwbngdjvcuhxystrwdcfvb nvcxjziuhystwrf3c4vbgnjviuchyatqf23cgvrfbhdsxyt6wf34vgbhrfdusy7a6qt2f3gvhguifvd7yswq6t23g4brhjfivdc8ux7ys6wt3e5r4e3wa3 bvcxszaZsxdcfvgbhnjmk,6T5R4EDCFVGBHNJIK8U7Y65467897078867543421342q35623u46tyg76534e675bu6gvecECWFVEGTYJ65E489095TCEWF64E54WD5rfr5g67ghhmkj

Step-by-step explanation:

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240