All categories

1 year ago

2 sandwiches and 3 croissants costs £11.

Mathematics

1 answer:

valentina_108 [34]1 year 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

You might be interested in

Points H and F lie on circle c What is the length of line segment GH?

Nina [5.8K]

Answer:

6 units

Step-by-step explanation:

Given: Points H and F lie on circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.

To find: Length of GH.

Sol: EC = CH = 9 (Radius of the same circle are equal)

Now, GC = GH + CH

GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

$(Hypotenuse)^{2} = (Base)^{2} +(Altitude)^{2}$ ......(ΔEGC is a right triangle)

$(GC)^{2} = (GE)^{2} +(EC)^{2}$

$(GH + 9)^{2} = (9)^{2} +(12)^{2}$

$(GH )^{2} + (9)^{2} + 18GH = 81 + 144$

$(GH )^{2} + 81 + 18GH = 81 + 144$

$(GH )^{2} + 18GH = 144$

Now, Let GH = <em>x</em>

$x^{2} +18x = 144$

On rearranging,

$x^{2} +18 x - 144 = 0$

$x^{2} - 6x +24x + 144 = 0$

$x (x-6) + 24 (x - 6) =0$

$(x - 6) (x + 24) = 0$

So x = 6 and x = - 24

∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

3 0

1 year ago

Read 2 more answers

Over which interval are the exponential and linear function approximately the same? from 0.25 to 0.5 from 0.5 to 0.75 from 0.75

ryzh [129]

Answer:

Answer is 0.25 to 0.5

Step-by-step explanation:

Let the linear function be $y=x$

and exponential function be $y=e^x$

x 0.25 0.5 0.75 1.0 1.25 1.5

y 0.25 0.5 0.75 1.0 1.25 1.5

Diff 0.25 0.25 0.25 0.25 0.25

e^x 1.29 1.65 2.12 2.72 3.49 4.48

Diff 0.36 0.47 0.60 0.77 0.99

Hence 0.36 to be nearer to 0.25, than other intervals

So answer is 0.25 to 0.5

3 0

1 year ago

Read 2 more answers

How many marbles, each with a volume of 36 cubic centimeters, are needed to fill in a cylindrical vase with a radius of 6 centim

ANEK [815]

The volume of a cylinder can be found using the formula:

π r² h,

where r is the radius of the circular base and h is the height of the cylinder.

If we plug in the measurements of the cylinder, we get:

π (6²) (28)

When this is simplified, we get that the volume of the cylinder is:

1008π cubic cm

Thus, if each marble has a volume of 36π cubic cm, then to find how many marbles will fit into the vase we must divide the vases total volume by the volume of each marble.

1008π / 36π = 28

Therefore, the answer is D. 28 marbles

7 0

2 years ago

Read 2 more answers

A council reviews the number of bedrooms in 40 houses located in the same area. The table shows the information gathered.

Liono4ka [1.6K]

Answer:

a) 15 house with 3 bedrooms

b) 40 ÷ 5 = 8

Step-by-step explanation:

Can you make me the brainliest?