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
Elis [28]
3 years ago
6

Three hot dogs and two hamburgers cost $8.00 two hot dogs and three hamburgers cost $8.25. How much does one hot dog cost?

Mathematics
1 answer:
navik [9.2K]3 years ago
8 0

The cost of 1 hot dog is $ 1.5

<em><u>Solution:</u></em>

Let "x" be the cost of 1 hot dog

Let "y" be the cost of 1 hamburger

From given,

<em><u>Three hot dogs and two hamburgers cost $8.00</u></em>

3x + 2y = 8 ------- eqn 1

<em><u>two hot dogs and three hamburgers cost $8.25</u></em>

2x + 3y = 8.25 ------- eqn 2

<em><u>Solve eqn 1 and eqn 2</u></em>

<em><u>Multiply eqn 1 by 2</u></em>

6x + 4y = 16 ------ eqn 3

<em><u>Multiply eqn 2 by -3</u></em>

-6x - 9y = - 24.75 ------- eqn 4

<em><u>Add eqn 3 and eqn 4</u></em>

6x + 4y = 16

-6x - 9y = - 24.75

( +) -----------------

-5y = -8.75

5y = 8.75

y = 1.75

<em><u>Substitute y = 1.75 in eqn 1</u></em>

3x + 2(1.75) = 8

3x = 8 - 3.5

3x = 4.5

x = 1.5

Thus cost of 1 hot dog is $ 1.5

You might be interested in
PLEASE HELP ASAP 40 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
Volgvan

Answer:

B

Step-by-step explanation:

2 || 1   -   4     6    -   4

              2    -4       4

==================

     1       -2    2

x^2 - 2x + 2 with no remainder.

Looks like the answer is B

Note: Note that the two in x - 2 changes sign. That always happens when using synthetic division as long the number in front of the x is positive.

3 0
3 years ago
The difference of the square of a number and 5 is equal to 4 times that number. Find the negative solution.
Alexeev081 [22]

Answer:

x=-1 or x=5

Step-by-step explanation:

let the number be 'x'.

According to the statement given above:

x^2-5=4x

or

x^2-4x-5=0

Factorizing the quadratic equation for 'x'

x^2+x-5x-5=0

Taking common from the equation:

x(x+1)-5(x+1)=0\\(x+1)(x-5)=0\\(x+1)=0, (x-5)=0\\x=-1,x=5

The solution of the equation is x=-1 or x=5

8 0
4 years ago
Read 2 more answers
maria blows up some balloons for a party She divides them into 4 groups of one hundred and 7 groups of fo ten. There are 6 ballo
solong [7]

Answer:

476 balloons

Step-by-step explanation:

4 groups x 100 = 400 balloons

7 groups x 10 = 70 balloons

+6 balloons (leftover)

400+70+6= 476 balloons total for her party

6 0
2 years ago
Find the area of the regular hexagon with perimeter 12 in. Write your answer in simplest radical form
Vinil7 [7]
I’m not sure if this helps, but the area of a hexagon with a perimeter of 12 inches would be 10.39 inches squared
7 0
3 years ago
Show the working out
m_a_m_a [10]

Answer:

59.25 currency ; No. of cans rounded to next whole number

Step-by-step explanation:

Draw a perpendicular line frrom the 12m. line onto the 20m. line. We get a rectangle on the left and a right-triangle on the right.

Using Pythagorous theorem,

Fence = \sqrt{17^{2} - 8^{2}} m = 15 m

So, area of the lawn = ( 1/2 ) * ( 12 + 20 ) * 16 sqm = 240 sqm

So, number of cans needed = 240/100 = 2.4 ≈ 3 [Cause cans can't be partially bought ]

Total cost = 3 * 19.75 currency = 59.25 currency

( However, if cans can be partially bought, then total cost = 47.4 currency )

4 0
3 years ago
Other questions:
  • D = 0.5t(3.5t − 21.25)
    9·1 answer
  • What is 834,351 rounded to the nearest ten thousand
    13·1 answer
  • Given 7x/2 &lt;5 find the soloution set
    6·1 answer
  • A car travels 336 miles averaging 28 miles per gallon of gas. If the gas cost $3.14 per gallon, what would the cost to drive 336
    11·1 answer
  • 8. analyze the diagram below and complete the instructions that follow
    7·1 answer
  • Please help me 3x+y=-3
    6·1 answer
  • Pentagons STUVW and XYZAB are similar with XY = 32 , YZ = 36 , ST = 4c + 2 and TU = 5c + 2 What is the length of TU
    11·1 answer
  • The ordered pair (2, 2) represents ________ in the rectangular coordinate system.
    8·1 answer
  • -. A new streaming company charges a rate of $5.99 per month. In order to generate some additional
    14·1 answer
  • Find the tangent of angle Θ in the triangle below.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!