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maw [93]
3 years ago
8

At a speed of 50 miles per hour, a certain car uses 1 gallon of gasoline every 30 miles. if the car starts with a full 12 gallon

tank of gasoline and travels for 5 hours at 50 miles per hour, the amount of gasoline used would be what fraction of a full tank? (a) 3/25 (b) 11/36 (c) 7/12 (d) 2/3 (e) 25/36
Mathematics
1 answer:
yKpoI14uk [10]3 years ago
4 0

First find the total amount of miles traveled: 50*5=250

Then divide how many gallons of gas used per mile by total miles traveled: 30/250= 3/25

your answer: 3/25

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alina1380 [7]

Answer:

A

Step-by-step explanation:

The area of figure=Area of rectangle+Area of triangle

Area of figure=(x+2)(x-3)+1/2*(x)*(x+2)

Area of figure=x^2-x-6+0.5*x^2+x

Area of figure=(3/2)x^2-6

7 0
3 years ago
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Find the point on the plane 4x+3y+z=10 that is nearest to​ (2,0,1). What are the values of​ x, y, and z for the​ point? x= 28 /
MariettaO [177]

Answer:

\frac{1}{\sqrt{26}}.

Step-by-step explanation:

The minimun distance between a point and a plane is the perpendicular distance. The formula is

d = \frac{|Ax_0+By_0+Cz_0+D|}{\sqrt{A^{2}+B^{2}+C^{2}}}

where (x_0,y_0,z_0)=(2,0,1), A=4, B=3, C=1 and D=-10. So, the distance is

d = \frac{|8+1-10|}{\sqrt{16+9+1}}

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d = \frac{1}{\sqrt{26}}.

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3 years ago
What is the value of 106 ?
Artemon [7]
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HELP HELP HELP<br> Quick algebra 1 questions
beks73 [17]

<u>Hello:</u>

<u />

<u>Okay, this problem should be taken in a series of steps</u>:

<u>What is the slope's formula?</u>

  \rm\hookrightarrow  \frac{y_2-y_1}{x_2-x_1}

  • (x₁,y₁) -- first point
  • (x₂,y₂) -- second point

<u>Okay, now let's use this knowledge</u>  

10. (5,-19) and (-5,21)

       Slope = \frac{21--19}{-5-5} =\frac{40}{-10}=-4

11. (12,1) and (12, -1)

      Slope = \frac{-1-1}{12-12} =\frac{-2}{0}

12. (8,7) and (4,7)

     Slope = \frac{7-7}{4-7} =0

<u>Answer:</u>

  • Question 10: -4
  • Question 11: undefined
  • Question 12: 0

Hopefully that helps!

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