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WINSTONCH [101]
3 years ago
13

A car gets 25 miles per gallon. How many gallons of gas are needed for the car to go 300 kilometers?

Mathematics
1 answer:
Gnoma [55]3 years ago
8 0
1 mile = 1.609 km

so 1.609*25 = 40.23km/1 gallon

300km / 40.23km/gal = 7.457 gallons
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6x + 11 = 21<br> Help I’m on a quiz and this question is so confusing
Westkost [7]

Answer:

Step by Step Solution

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    6*x+11-(21)=0  

Step by step solution :

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  6x - 10  =   2 • (3x - 5)  

Equation at the end of step

1

:

STEP

2

:

Equations which are never true:

2.1      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

2.2      Solve  :    3x-5 = 0  

Add  5  to both sides of the equation :  

                     3x = 5

Divide both sides of the equation by 3:

                    x = 5/3 = 1.667

One solution was found :

x = 5/3 = 1.667

3 0
3 years ago
The Length of a rectangle exceeds its breadth by 9 cm. if length and breadth are each increased by 3 cm, the area of new rectang
gizmo_the_mogwai [7]

Answer:

Breadth = 8 cm

Length = 17 cm

Step-by-step explanation:

Given rectangle:

Breadth = x cm

Length = x + 9 cm

Area = length * breadth

        = x * (x + 9)

       = x² + 9x

Rectangle with length and breadth increased:

Breadth = x + 3 cm

Length = x + 9 + 3 = x + 12 cm

Area = 84 + (x² + 9x) cm²

(x +3) * (x +12) = 84 + x² +  9x

Use FOIL method

x*x  + x*12 + 3*x + 3*12 = 84 + x² + 9x

      x² + 12x + 3x + 36  = 84 + x² + 9x  {add the like terms}

             x² + 15x  + 36  = 84 + x² + 9x

x² + 15x + 36 - 84 - x² - 9x = 0

      6x - 48 = 0

             6x = 48

             x = 48/6

        x = 8

Breadth = x = 8 cm

Length = x + 9 = 8 +9 = 17 cm

7 0
3 years ago
Subtract 3x^2+7x-4 from 8x^2-6x+2
solong [7]

Answer:

5x^2-13x+6

Step-by-step explanation:

(8x^2-6x+2)-(3x^2+7x-4)

8x^2-3x^2-6x-7x+2-(-4)

5x^2-13x+2+4

5x^2-13x+6

3 0
3 years ago
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