1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alborosie
3 years ago
8

2 sandwiches and 3 croissants costs £11.

Mathematics
1 answer:
valentina_108 [34]3 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

You might be interested in
One angle of an isosceles trapezoid has measure 57. What are the measures of the other angles?
Kobotan [32]
\alpha =57^o\\ \\ The \ interior \ angle \ at \ the \ shortest \ base \ is \ equal \ to :\\ \\ \beta = 180^o - 57^o = 123^o



3 0
3 years ago
Read 2 more answers
50/100 in tenth fraction and decimal form
Flura [38]

Answer:

5/10 and .5

Step-by-step explanation:

50/100 is 1/2 so 1/2 is equal to 5/10

5/10 is also 1/2 and 1/2 as a decimal is .5 or 0.5

hope it helps !

7 0
2 years ago
A company will make a cereal box with whole number dimensions and a volume of 100 cubic centimeters. if carboard cost $0.05 per
Lelu [443]
Possible dimension of a box with a volume of 100 cubic cm
10 x 10 x 1 = 100
10 x 5 x 2 = 100
5 x 5 x 4 = 100

Surface area:
10 x 10 x 1 dimensions: 
10 x 10 = 100 x 2 = 200 sq.cm
10 x 1 = 10 x 4 = 40 sq. cm
240 sq. cm * $0.05 / 100 sq.cm = $0.12 per box
0.12 per box * 100 boxes = $12

10 x 5 x 2 dimension
10 x 5 = 50 x 2 = 100 sq. cm
10 x 2 = 20 x 2 = 40 sq. cm
5 x 2 = 10 x 2 = 20 sq. cm
160 sq. cm * $0.05/100 sq. cm = $0. 08 per box
0.08 per box * 100 boxes = $8

5 x 5 x 4 dimension
5 x 5 = 25 x 2 = 50 sq. cm
5 x 4 = 20 x 4 = 80 sq. cm
130 sq. cm * $0.05/100 sq. cm = $0.065 per box
0.065 per box * 100 boxes = $6.50

The best dimension to use to have the least cost to make 100 boxes is 5 x 5 x 4. It only costs $6.50 to make 100 boxes.
8 0
3 years ago
Input the equation of the given line in slope-intercept form. The line with m = 2 and b = -4.
lukranit [14]

Answer:

y = 2x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

here m = 2 and b = - 4

y = 2x - 4 ← equation of line

4 0
3 years ago
Copy the problems onto your paper, mark the given and prove the statements asked. Given: marked Prove: ΔABC ≅ ΔDBC, ΔEHF ≅ ΔGHF
hjlf

The proof is given below. Please go through it.

Step-by-step explanation:

To solve Δ ABC ≅ Δ DBC

From Δ ABC and Δ DBC

AB = BD (given)

AC = CD (given)

BC is common side

By SSS condition Δ ABC ≅ Δ DBC ( proved)

To solve Δ EHF ≅ Δ GHF

Δ EHF and Δ GHF

EH = HG ( given)

∠ EFH = ∠ GFH ( each angle is 90°)

HF is common side

By RHS condition

Δ EHF ≅ Δ GHF

7 0
4 years ago
Other questions:
  • Given right angle abc, what is the value of tan(A)
    12·1 answer
  • Which graph represents the equation y=2x-1?
    7·1 answer
  • Which expression can be used to check the answer to 56 divided by (negative 14) = n?
    13·1 answer
  • Elley is mixing blue and yellow food coloring to make green food coloring for her bakery. The relationship between the amounts o
    5·2 answers
  • Flying with the wind a plane went 198 mph. Flying into the same wind the plane only went 162 mph. Find the speed of the plane in
    9·1 answer
  • What is the volume of the sphere?<br> 25.12<br> 75.36<br> 150.72<br> 904.32
    5·2 answers
  • Please i need help over here
    14·1 answer
  • PLEASE HELPP!!!!!!
    11·1 answer
  • Please PLEASE HELPPP!!!!!!
    7·1 answer
  • Write this equation of a line in point slope form: slope 1/2; (3, -1)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!