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Viefleur [7K]
4 years ago
11

At an airport restaurant, 2 sodas and 4 hamburgers cost $12.00. An order of 4 sodas and 2 hamburgers costs $9.00. How much does

one hamburger cost?
Mathematics
2 answers:
Charra [1.4K]4 years ago
4 0
Let the cost of soda be s.
Let the cost of hamburgers = h

\begin{cases} &2s + 4h = 12 ----- (1) \\&4s + 2h = 9 ----- (2)\end{cases}

Multiply Equation (1) by 2 :
\begin{cases} &4s + 8h = 24 ----- (1)\\&4s + 2h = 9 ----- (2)\end{cases}

Equation (1) - (2):
\begin{aligned} &6h = 15 \\&h = 2.5 \end{aligned}

Answer: 1 hamburger costs $2.50
zhenek [66]4 years ago
3 0
Let's say the sodas are each $1. If you have purchased 4 sodas it will cost $4. You still have $5 left on your bill. If you have 2 hamburgers left on your bill the amount of each hamburger is $2.50.
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Given the following perfect square trinomial, fill in the missing term<br> 4x2 + ___x + 49
Arisa [49]

Answer:

wheres the square trinomail

Step-by-step explanation:

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3 years ago
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Find the Area of the figure below, composed of a rectangle and a semicircle. Round to
chubhunter [2.5K]

Answer:

Area = 74.1 square units

Step-by-step explanation:

Area of the composite figure = Area of the rectangle + Area of the semicircle

Area o the rectangle = Length × Width

                                   = 10 × 6

                                   = 60 square units

Area of the semicircle = \frac{1}{2}\pi r^{2}

Here, r = radius of the semicircle

For the semicircle with radius = \frac{6}{2} = 3 units

Area = \frac{1}{2}\pi (3)^{2}

        = 4.5π

        = 14.14 units²

Total area of the composite figure = 60 + 14.14

                                                          = 74.14 square units                                                                                              ≈ 74.1 square units      

3 0
3 years ago
A hose fills a hot tub at a rate of 2.09 gallons per minute. How many hours will it take to fill a 327 gallon hot tub?
enyata [817]

Answer:

2.60 hours

Step-by-step explanation:

A hose fills a hot tub at a rate of ,

2.09 gallons ⇒ 1 minute

Now we have to find the time which takes to fill a 327 gallon hot tub.

For that, let the unknown time be x.

So,

2.09 gallons ⇒ 1 minute

327 gallon    ⇒  x

Use cross multiplication to find the value of x.

2.09 x  =  327 × 1

2.09x   = 327

x   = 327 ÷ 2.09

x   = 156.45 min

Therefore, it takes 156.45 minutes.

But the question is asked for hours.

So,

Let us solve now.

156.45 ÷ 60 = 2.60 hours

Let me know if you have any other questions :-)

7 0
2 years ago
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How does f(x) = 3* change over the interval x = 4 to x = 57
Vilka [71]

f(x) increase by a factor of 3

Explanation:

        Given that f(x)= 3* and the interval is x=4 to x=57

        Now we put the value for x is 4 to 57 then value of f(x) increase with the multiply of 3.

        Because the x is multiplied with 3 i.e., 3*

        So f(x) increase by a factor of 3.

        If we put x=4, then f(x)= 12     (∵ 3×4=12)

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        If we put x=6,the f(x)= 18             (∵ 3×6=18)

similarly., values of x= 7,8,9,...155.

        Then,

        If we put x=56, the f(x)=168

        This process will continue until f(x)=171 for x=57.

6 0
3 years ago
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Aloiza [94]

Answer:

The scale of a model train is 1 inch to 13.5 feet. One of the cars of the model train is 5 inches long. What is the length, in feet, of the actual train car?

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Step-by-step explanation:

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