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Alborosie
2 years ago
8

2 sandwiches and 3 croissants costs £11.

Mathematics
1 answer:
valentina_108 [34]2 years ago
5 0

Answer:

The price of a sandwich is £2.5 and the price of a croissant is £2

Step-by-step explanation:

Let s be the number of sandwiches and c be the number of croissants

Then according to given statements the equations will be:

2s+3c = 11\ \ \ \ \ \ \ Eqn\ 1\\3s+6c =19.50\ \ \ Eqn\ 2

Multiplying equation 1 by 2 and subtracting equation 2 from the new equation

2(2s+3c) = 11*2\\4s+6c = 22

Now

4s+6c-(3s+6c) = 22-19.50\\4s+6c-3s-6c = 2.5\\s = 2.5

Putting s=2.5 in equation 1

2(2.5)+3c = 11\\5+3c = 11\\3c = 11-5\\3c = 6\\\frac{3c}{3} = \frac{6}{3}\\c = 2

Hence,

The price of a sandwich is £2.5 and the price of a croissant is £2

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Move triangle ABC so it lies on top of triangle DEF, triangle GHI, and triangle JKL. How many units do you have to move triangle
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Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the diagram of coordinates of the three triangles are not given.

A general explanation is as follows:

First, record the coordinates of the corresponding points of the three triangles.

For instance; In triangles ABC, DEF and GHI; A, D and G are corresponding points.

Now, assume the coordinates are:

A = (1,1)

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Point D is 4 points to the right of A;

i.e.

D =(1,1+4) = (1,5)

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Similarly, point G is 3 units down of A

i.e.

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2 years ago
Which two values of x are the roots of the polynomial below? <br> x^2+5x+11
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Answer:

x = -5/2 + i√19 and x = -5/2 - i√19

Step-by-step explanation:

Next time, please share the possible answer choices.

Here we can actually find the roots, using the quadratic formula or some other approach.

a = 1, b = 5 and c = 11.  Then the discriminant is b^2-4ac, or 5^2-4(1)(11).  Since the discriminant is negative, the roots are complex.  The discriminant value is 25-44, or -19.

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x = -----------------------------------

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or x = -5/2 + i√19 and x = -5/2 - i√19

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