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bixtya [17]
3 years ago
11

A group of friends ordered 3 burgers and 3 medium fries for a total of $17.55

Mathematics
2 answers:
S_A_V [24]3 years ago
7 0

This is gonna be a long answer but it will help...

Answer:

Cost price of the burger = $4.15

Step-by-step explanation:

Given data:

3 burgers were ordered

3 medium fries were ordered

Total order cost 17.55

Let the price of the burger be X

Let the price of the medium fries be Y

Equation for the total sale will be 3X + 3Y = 17.55 (equation 1)

from this statement 'The price of a burger is .75 more than two times the price of medium fries.'

X - 2Y = 0.75 (equation 2)

There are now two equations and two unknowns, a simultaneous equation is solved to find the cost of the  burger.

Many methods can be used to solve these equations but in this case substitution will be used

From equation 2

X = 0.75 + 2Y (equation 3)

Substituting equation 3 into equation 1

3(0.75 + 2Y) + 3Y = 17.55

2.25 + 6Y + 3Y = 17.55

6Y + 3Y = 17.55-2.25

9Y = 15.3

Y = 1.7

Substituting Y into equation 3

X = 0.75 + 2Y

X = 0.75 + 2(1.7)

X = 0.75 + 3.4

X = 4.15

Therefore the cost price of the burger is $4.15

Pavel [41]3 years ago
5 0

2m+.75=1 burger cost

m= 1 medium fry

2m+.75+2m+.75+2m+.75+m+m+m=17.55

9m+2.25=17.55

      -2.25 -2.25

9m=15.30

/9     /9

m=1.70

1.70*2=3.40

3.40+.75=4.15

1 burger costs $4.15

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Find the equation of the line with slope 3/7 and that passes through the point (14, 0). Write your answer in the form y = mx + b
Allushta [10]

Answer:

y = 3/7x - 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Slope <em>m</em> = 3/7

Point (14, 0)

<u>Step 2: Find y-intercept </u><em><u>b</u></em>

  1. Substitute:                    0 = 3/7(14) + b
  2. Multiply:                        0 = 6 + b
  3. Isolate <em>b</em>:                       -6 = b
  4. Rewrite:                         b = -6

<u>Step 3: Write linear equation</u>

y = 3/7x - 6

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An equilateral triangle has a perimeter of 48 cm. What is the area?
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Answer:

A=64\sqrt{3}\ cm^2

Step-by-step explanation:

we know that

An <u><em>equilateral triangle</em></u> has three equal sides and three equal interior angles (each interior angle measure 60 degrees)

so

The perimeter is equal to

P=3b

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b is the length side of the equilateral triangle

we have

P=48\ cm

substitute

48=3b

solve for b

b=48/3\\b=16\ cm

Find the area

The formula of area applying the law of sines is equal to

A=\frac{1}{2}b^2sin(60^o)

substitute the value of b

A=\frac{1}{2}(16)^2sin(60^o)

sin(60^o)=\frac{\sqrt{3}}{2}

A=\frac{1}{2}(16)^2(\frac{\sqrt{3}}{2})

A=64\sqrt{3}\ cm^2

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A triangle has side lengths of 17 inches, 19 inches, and 10 inches. What kind of triangle is it?
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a scalene triangle has 3 uneven sides

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