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iragen [17]
3 years ago
9

Write an equation to represent Catherine's profit (p) from selling cupcakes for one month Catherine sells cupcakes, c, for 1.50

each. The ingredients for each cupcake cost her $0.30, and the sum of all her other expenses is $20.00/month
Mathematics
1 answer:
Archy [21]3 years ago
8 0

Answer:

\text{p}=\$1.20\text{c}-\$20

Step-by-step explanation:

GIVEN: Catherine sells cupcakes c for \$1.50 each, The ingredients for each cupcake cost her \$0.30, and the sum of all her other expenses is \$20/\text{month}.

TO FIND: Equation to represent Catherine's profit from selling cupcakes.

SOLUTION:

Cost of ingredients for each cupcake  =\$0.30

sum of all other expenses  =\$20/\text{month}

Selling price of each cupcake =\$1.50

Total cupcakes sold =\text{c}

Now,

As we know that \text{Net profit}=\text{Selling price}-\text{Cost price}-\text{Other expense}

putting values,

                      \text{p}=\$1.50\text{c}-\$0.30\text{c}-\$20

                      \text{p}=\$1.20\text{c}-\$20

Hence the equation  to represent Catherine's profit (p) from selling cupcakes for one month Catherine sells is \text{p}=\$1.20\text{c}-\$20

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ch4aika [34]

Answer:

<h2>A)x=3/2 y=½</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • system of linear equation
  • PEMDAS
<h3>let's solve:</h3>
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  1. \sf substitute \: the \: value \: of \: y :  \\  \sf  - x + 2 = 3x - 4
  2. \sf add \: x \: to \: both \: sides :  \\  \sf  - x + x + 2 = 3x + x - 4 \\  \sf 4x - 4 = 2
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let's figure out y

  1. substitute the got value of x into the second equation: y=3*3/2 -4
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3 0
3 years ago
A bookstore marks up the price of a book by 25% of the cost from the publisher. Therefore, the
lesya692 [45]

Answer:

(A)

  • P(60) = 78.98
  • When the bookstore spends $60 on a textbook, the student pays $78.98

Step-by-step explanation:

Given:

P(x) = 1.053(x+0.25x)

P(60) = 1.053(60+0.25*60)

=1.053(60+15)

=1.053(75)

P(60)=$78.98

Since x is the cost from the publisher, when the bookstore spends $60 on a textbook, the student pays $78.98.

<u>The correct option is A.</u>

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3 years ago
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Answer:

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Step-by-step explanation:

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4 0
3 years ago
Sarah lives 3 9/10 miles from school. Her classmate, Roger, lives 1 mile from school. How much farther from school does Sarah li
Veseljchak [2.6K]

Answer:

2 9/10

Step-by-step explanation:

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7 0
2 years ago
-6(x+7)=-4x-2<br> How many solutions does it have
geniusboy [140]

Answer:

Equation have Unique solution i.e x=-20

Step-by-step explanation:

Given Equation:

-6(x+7)=-4x-2

Solving the Equation for 'x'.

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Adding '4x'  both sides:

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Adding '42' both sides:

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                        x=\frac{40}{-2} \\\\x=-20

The equation have Unique solution with the value of x=-20

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