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3 years ago

Simultaneous equations ! Who can help

Mathematics

1 answer:

Ilya [14]3 years ago

7 0

The cost of glass is: £4

The cost of mug = £2

Step-by-step explanation:

Let g be the number of glasses and

m be the number of mugs

$3g+3m = 18\ \ \ \ \ Eqn\ 1\\6g+4m=32\ \ \ \ \ Eqn\ 2$

Multiplying equation 1 by 2

$6g+6m=36\ \ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$6g+6m - (6g+4m) = 36-32\\6g+6m-6g-4m=4\\2m=4$

Dividing both sides by 2

$\frac{2m}{2} = \frac{4}{2}\\m = 2$

Putting m=2 in eqn 1

$3g+3(2) = 18\\3g+6 = 18\\3g = 18-6\\3g = 12$

Dividing both sides by 3

$\frac{3g}{3} = \frac{12}{3}\\g = 4$

Hence,

The cost of glass is: £4

The cost of mug = £2

Keywords: Linear Equation, simultaneous equations

Learn more about linear equation at:

#LearnwithBrainly

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IrinaK [193]

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3 years ago

7. Which dimensions result in the minimum perimeter for a rectangle with area 42.0 cm2?

natali 33 [55]

9514 1404 393

Answer:

7. d. l = 6.48 cm, w = 6.48 cm

8. d. square

Step-by-step explanation:

For a given area, the perimeter can always be shortened by reducing the length of the long side and increasing the length of the short side. When you get to the point where you can't do that, then you have the minimum perimeter. You will reach that point when the sides are the same length: the rectangle is a square.

7. In light of the above, the best dimensions are √42 ≈ 6.48 cm for length and width.

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The attached graph shows the length of one side (x) and the associated perimeter. The other side is 42/x, which will also be 6.48.