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MaRussiya [10]
3 years ago
6

Bridget is making greeting cards, which she will sell by the box at an art fair. She paid $30 for a booth at the fair and the ma

terials for each box of cards cost $2. She will sell the cards for $5 per box of cards. At some point, she will sell enough cards so that her sales cover her expenditures. How much will the sales and expenditures be?
Mathematics
1 answer:
LiRa [457]3 years ago
8 0

Answer:

when she sold 10 cards, it will cover all her cost.

Step-by-step explanation:

Profit(without charge of booth)=5x-2x

Profit=3x-30

Calculating:

3x=30

x=10

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3 0
3 years ago
1) (x - 2)/(x - 3) + (3x - 11)/(x - 4) = (4x + 13)/(x + 1)​
mote1985 [20]

Step-by-step explanation:

or,(x-2)(x-4)+(3x-11)(x-3)/(x-3)(x-4)=(4x+13)/(x+1)

or,x^2-4x-2x+8+3x^2-9x-11x+33/x^2-4x-3x+12=(4x+13)/(x+1)

or,4x^2-4x-2x-9x-11x+8+33/x^2-7x+12=(4x+13)/(x+1)

or,4x^2-26x+41/x^2-7x+12=(4x+13)/(x+1)

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or,4x^3-26x^2+41x+4x^2-26x+41=4x^3-28x^2+48x+13x^2-91x+156

or,-26x^2+4x^2+28x^2-13x^2+41x-26x-48x+91x=156-41

or,-7x^2+58x=115

or,-7x^2+58x-115=0

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or,7x^2-58x+115=0

or,7x^2-(35+23)x+115=0

or,7x^2-35x-23x+115=0

or,7x (x-5)-23 (x-5)=0

or, (x-5)(7x-23)=0

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(x-5)=0 (7x-23)=0

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:x=5 :x=23/7

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7 0
2 years ago
Which equation represents a line which is perpendicular to the line 2x + y = -5?
Gnesinka [82]

Step-by-step explanation:

Given expression;

   2x + y  = -5;

  The given equation must be written in a form where the slope is the negative inverse of the given one.

A line perpendicular to another will have a negative inverse slope.

   2x + y  = -5

  Equation of a straight line is generally written as;

       y  = mx + c

y and x are the coordinates

m is the slope

c is y - intercept

          2x + y  = -5

                 y  = -2x -5

 The slope of the perpendicular = \frac{1}{2}

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the new line;

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7 0
3 years ago
Find X and Y in each figure
svlad2 [7]
Sooooooooooooooo X= 28 and Y= 47
7 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=3y%20-%205x%20%3D%2010" id="TexFormula1" title="3y - 5x = 10" alt="3y - 5x = 10" align="absmid
kompoz [17]

Answer:

\dfrac{5}{3}

Step-by-step explanation:

To find the gradient (slope) of the given <u>linear relation</u>, use <u>arithmetic operations</u> to isolate y:

Given relation:

3y-5x=10

Add 5x to both sides:

\implies 3y-5x+5x=10+5x

\implies 3y=5x+10

Divide both sides by 3:

\implies \dfrac{3y}{3}=\dfrac{5}{3}x+\dfrac{10}{3}

\implies y=\dfrac{5}{3}x+\dfrac{10}{3}

<u>Slope-intercept form of a linear equation</u>

y = mx+b

where:

  • m is the slope (gradient)
  • b is the y-intercept

Comparing the rewritten equation with the slope-intercept formula, the gradient (slope) of the given linear relation is ⁵/₃.

Learn more about linear equations here:

brainly.com/question/27317293

brainly.com/question/27781455

7 0
2 years ago
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