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stira [4]
3 years ago
8

An airplane flies 105 miles in 1/2 hour. how far can I fly in 1 1/2 hours at the same rate of speed?

Mathematics
1 answer:
Maksim231197 [3]3 years ago
4 0

105 for 1/2 hour

 there are 3 1/2's in  1 1/2 hrs

 so 105 *3 = 315 miles in  1 1/2 hours

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Can someone give me the answers plz:)
Alborosie

Remark

There is no short way to do this problem and no obvious way to get the answer other that to solve each part.  

Solve

A

\dfrac{x + 1.6}{2} =\text{x + 0.1}                    Multiply by 2

x + 1.6 = 2(x + 0.1)                                         Remove the brackets

x + 1.6 = 2x + 0.1*2                                        

x + 1.6 = 2x + 0.2                                          Subtract x from both sides

1.6 = x + 0.2                                                  Subtract 0.2 from both sides  

1.6 - 0.2 = x                        

1.4 = x

Circle A

B

Subtract 2x from both sides.

3x - 2x = 1.4

Circle B

C

Remove the brackets.

4x + 6 = 2x - 6           Add 6 to both sides

4x + 12 = 2x               Subtract 4x from both sides.

12 = -2x                      Divide by - 2

12/-2 = x

x = - 6                         Don't circle C

D

I'm going to be very scant in my solution of this. You can fill in the steps.

3x = 4.2

x = 4.2/3

x = 1.4

Circle D

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The 4 pieces of rope equals 5 feet each one
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Q5: Identify the graph of the equation and write an equation of the translated or rotated graph in general form.
MAVERICK [17]

Answer:

d.\:ellipse;\:3x^2+y^2+6x-6y+3=0.

Step-by-step explanation:

The given conic has equation;

3x^2+y^2=9

Divide through by 9.

\Rightarrow \frac{3x^2}{9}+\frac{y^2}{9}=\frac{9}{9}

\Rightarrow \frac{x^2}{3}+\frac{y^2}{9}=1.

This is an ellipse centered at the origin;

This ellipse has been translated so that the center is now at;

(-1,3)

The translated ellipse has equation;

\frac{(x+1)^2}{3}+\frac{(y-3)^2}{9}=1.

Clear the fraction;

3(x+1)^2+(y-3)^2=9.

Expand;

3(x^2+2x+1)+(y^2-6y+9)=9.

3x^2+6x+3+y^2-6y+9=9.

Write in general form;

3x^2+y^2+6x-6y+9-9+3=0.

3x^2+y^2+6x-6y+3=0.

The correct choice is D

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