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
Inga [223]
4 years ago
8

Please help me solve this!!!!!

Mathematics
1 answer:
gulaghasi [49]4 years ago
8 0

Answer

Burger meal = $8 and Hot dog meal = $6

Step-by-step explanation:

Let's use "x" to represent burger meals and "y" to represent hot dog meals.

Garcia family:

3x + 4y = $48

Baker family:

6x + 2y = $60

We have to first compare both families' and then eliminate one of our common variables, either the "x" or "y".

3x + 4y = $48

6x + 2y = $60

Let's eliminate "x". To do this we can multiply "3x" by "-2" to get "-6x". This will cancel out "6x":

-2 (3x + 4y = $48) ...our new equation would be....

-6x - 8y = -$96

Now to add our two families' equations together...

-6x - 8y = -$96

+

6x + 2y = $60

=

- 6y = -$36

Divide both sides by "-6" to get "y" by itself.

y = $6

We now know the value of "y" <em>or </em>one hot dog meal. Next, we want to solve for "x", our variable for the hamburger meal... We will plug in our y value to help us...

3x + 4(6) = $48

3x + 24 = $48

We want to get our x by itself. First, we can subtract 24 from each side.

3x = $24

Then we will divided both sides by 3 to get x alone.

x = $8

To check our work we can plug in our values for both "x" and "y" to see if they add up to $48 and $60:

3(8) + 4(6) = $48

24 + 24 = $48

and...

6(8) + 2(6) = $60

48 + 12 = $60

You might be interested in
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7Dn-18%3D%5Cfrac%7B1%7D%7B4%7D%20n-4" id="TexFormula1" title="\frac{3}{4}n-
umka2103 [35]

The value of n is n=28

Explanation:

The expression is \frac{3}{4} n-18=\frac{1}{4} n-4

Subtracting both sides by \frac{1}{4} n, we get,

\frac{3}{4}n-\frac{1}{4}n-18=-4

Adding both sides by 18, we get,

\frac{3}{4}n-\frac{1}{4}n=-4+18

Simplifying the terms, we have,

\frac{2}{4}n=14

Dividing, we get,

\frac{1}{2} n=14

Multiplying by 2, we have,

n=28

Thus, the value of n is n=28

8 0
3 years ago
What is the answer? Please help me out
Veronika [31]
I think it may be 19.5
3 0
4 years ago
Read 2 more answers
What is the equation of the line that is parallel to the line y = - 1/3x + 4 and passes through the point (6, 5)?
Lostsunrise [7]

Answer:

y=-\frac{1}{3}x+7

Step-by-step explanation:

we know that

If two lines are parallel then their slopes are equal

The equation of the given line is

y=-\frac{1}{3}x+4

the slope is m=-\frac{1}{3}

so

the slope of the parallel line to the given line is also m=-\frac{1}{3}

Find the equation of the line that is parallel to the given line and passes through the point (6, 5)

we have

m=-\frac{1}{3}

point\ (6,5)

The equation of the line in point slope form is

y-y1=m(x-x1)

substitute

y-5=-\frac{1}{3}(x-6)

Convert to slope intercept form

y=mx+b

isolate the variable y

y-5=-\frac{1}{3}x+2

y=-\frac{1}{3}x+2+5

y=-\frac{1}{3}x+7

7 0
3 years ago
Use the graph to answer the question. Which of the following points would be a solution
katrin2010 [14]

Answer:

(1,3)

Step-by-step explanation:

Only point that lies in the blue area.

8 0
3 years ago
Read 2 more answers
Simplify:<br> (4xy^-6)^-3 <br><br><img src="https://tex.z-dn.net/?f=%284xy%5E%7B-6%7D%20%29%5E%7B-3%7D" id="TexFormula1" title="
Zepler [3.9K]

Answer:

(4^-3)(x^-3) y^(18)

or

y^18/ (64 x^3)

Step-by-step explanation:

(4xy^-6)^-3

Distribute the exponent to all terms in the parentheses

(4^-3)(x^-3) (y^-6)^-3

a^ b^c = a^ (b*c)

(4^-3)(x^-3) y^(-6*-3)

(4^-3)(x^-3) y^(18)

If we do not want negative exponents

a ^ -b = 1/ a^b

y^18/( 4^3 x^3)

y^18/ (64 x^3)

4 0
4 years ago
Other questions:
  • Convert r=5/(1 +cos theta) to a rectangular equation.
    6·1 answer
  • For every real number x, y, and z, the statement (x – y)z = xz – yz is _____ true. An algebraic expression in simplest form ____
    11·2 answers
  • You earn $42 for babysitting for 6 hours. How much money did you earn per hour
    9·1 answer
  • How many planes must intersect to form a line?
    5·1 answer
  • It costs a petroleum refinery $0.39 to refine one gallon of gasoline, and $0.39 to refine one gallon of natural gas. The
    12·1 answer
  • What is the equation of the blue line?<br>The answer y = 3x-7 / y = 3(x-4)+5 is wrong​
    11·1 answer
  • The zoo charges a four dollar admission fee plus an additional two dollar fee for each exhibit you visit which equation below ma
    8·2 answers
  • In the diagram below, AB is parallel to CD. What is the value of x?
    5·1 answer
  • What is -13÷-21 **negative 13 divided by negative twenty-one**​
    6·2 answers
  • The cost of the piece of granite is $137.70. What would you expect to pay for a similar piece of granite that is 108 inches by 6
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!