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Y_Kistochka [10]
3 years ago
10

The following information was reported in an article in a newspaper. A sheriff reported that investigators found 7.5 kilograms o

f cocaine in a car belonging to a man who lives in Virginia. This is a significant amount of cocaine, having a street value of about $1.4 million dollars. Assume that a typical dose contains half a gram of pure cocaine. How much would a dose cost
Mathematics
1 answer:
ruslelena [56]3 years ago
5 0

Answer:

  $93.33 per dose

Step-by-step explanation:

 $1.4×10⁶/(7.5 kg) × (1 kg)/(1000 g) × (0.5 g)/(1 dose)

  = (1.4×10⁶×0.5)/(7.5×10³) $/dose = 700/7.5 $/dose ≈ $93.33/dose

__

Converting dollars per kilogram to dollars per dose involves units conversion from kilograms to doses. We have done it in two steps, first to grams, then to doses.

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A line passes through the points (-1,-1) and (5,8) which points lie on the same line?
djverab [1.8K]

Answer: all points (x,y) that satisfy y=\frac{3}{2}x+\frac{1}{2}

Step-by-step explanation:

The slope of the line is

\frac{-1-8}{-1-5}=\frac{-9}{-6}=\frac{3}{2}

So, substituting into point-slope form, the equation is

y+1=\frac{3}{2}(x+1)\\\\y+1=\frac{3}{2}x+\frac{3}{2}\\\\y=\frac{3}{2}x+\frac{1}{2}

Therefore, all points (x,y) that satisfy y=\frac{3}{2}x+\frac{1}{2} will lie on the same line.

7 0
2 years ago
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Pavlova-9 [17]

Answer:

25%

Step-by-step explanation:

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3 years ago
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35 POINTS! BRAINLIEST! Please help! SHOW WORK!!
shtirl [24]

the solution is here,

the coordinate of centre of circle A is (3,2)

and the coordinate of centre of circle B is (3,0).

so the translation point from A to B is (3-0,0-2)=(3,-2).

Now the translation rule is given by (x+h,y+k)

where h is the tranalation anlong the x-axis and k is the translation along the y-axis.

For this problem, translation ruleis (x+3,y-2).

Then, radius of circle A(r1)=2 units

radius of circle B (r2)= 3 units

as the circle A is translated to B, the scale factor is

r2/r1=3/2=1.5

In conclusion, the translation rule for given circles is (x+3,y-2) and its scale factor is 1.5

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3 years ago
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hammer [34]

Answer:

X = 1

Step-by-step explanation:

When x = 1, gx is equal to 3 in both graphs. The input of x = 1 produces the same output value for both functions.

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1. 2.22
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