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Pepsi [2]
2 years ago
6

Wages, income tax, and money management

Mathematics
1 answer:
nexus9112 [7]2 years ago
8 0

Answer:

the answer is a

Step-by-step explanation:

the reason its a is because it just it

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Marco purchased a large box of comic books for $300. He gave 15 of the comic books to his brother and then sold the rest on an i
Yuri [45]

Answer: There are 75 books.

Price of each book = $4.

Step-by-step explanation:

Let x = Number of books in the box.

Then as per given,

Cost of x books = $300

Cost of one book = \$(\dfrac{300}x)

Books left after giving 15 of them = x-15

Selling price of (x-15) books=  $330

Selling price of one book = \$(\dfrac{330}{x-15})

Profit on each book= $1.50

Profit = selling price - cost price

\Rightarrow 1.50=\dfrac{330}{x-15}-\dfrac{300}{x}\\\\\Rightarrow\ 1.50=\dfrac{330(x)-300(x-15)}{x(x-15)}\\\\\Rightarrow\ 1.50=\dfrac{330x-300x+4500}{x^2-15x}\\\\\Rightarrow\ 1.50(x^2-15x)=30x+4500\\\\\Rightarrow\ 1.50x^2-22.5x=30x+4500\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ x^2-25x-3000=0\ \ [\text{divide by 1.5}]

\Rightarrow (x+40)(x-75)=0\\\\\Rightarrow\ x=-40,75

Number of books cannot be negative.

So, there are 75 books.

Price of each book = \dfrac{300}{75}=\$4

So price of each book = $4.

5 0
3 years ago
The tour cost $359 per person you pay have to pay a deposit of $78 in advance how much do you more do you need to pay
horrorfan [7]

Answer:

$437

Step-by-step explanation:

6 0
2 years ago
Identify the triangle PQR as isosceles​ (two sides of equal​ length), equilateral​ (three sides of equal​ length), or a scalene
Ipatiy [6.2K]

Answer:

Isosceles

Step-by-step explanation:

In order to figure what type of triangle this is out, we need to start by plotting the given points. That will help us visualize the triangle better and see if our conclusions make sense. (See attached picture).

Once we got the triangle, the strategy to follow is to use the distance between two points formula to see what the measurement of each side of the triangle is. This will help us determine if 2, 3 or none of the sides of the tirangle are the same.

The distance formula is the following:

distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

so now we can find the desired distances, let's start with the distance between P and Q:

|PQ|=\sqrt{(-4-0)^{2}+(9-8)^{2}}

which yields:

|PQ|=\sqrt{17}

next, let's find the distance between P and R:

|PR|=\sqrt{(-4-(-3))^{2}+(9-5)^{2}}

which yields:

|PR|=\sqrt{17}

and finally the distance between Q and R:

|QR|=\sqrt{(0-(-3))^{2}+(8-5)^{2}}

which yields:

|QR|=3\sqrt{2}

As you  may see from the result, only two of the three sides are the same, |PQ| and |PR|, so this will be an Isosceles triangle.

6 0
2 years ago
A city is building a fence around a rectangular playground. If the perimeter of the playground is 90 feet and the length of one
jeka57 [31]
If the perimeter is 90 feet and on side is 26 feet then the width of the playground is 38 feet
6 0
3 years ago
Read 2 more answers
Write an equation to find x, then solve for angle measure A. 25 points.
prohojiy [21]

Answer:

Step-by-step explanation:

23). By applying triangle sum theorem in the given triangle,

    (x + 83)° + (x + 48)° + 65° = 180°

    2x + 196 = 180

    2x = -16

    x = -8

    Measure of angle A = x + 48

                                      = -8 + 48

                                      = 40°

     Therefore, Option A is the answer.

24). By triangle sum theorem,

     (3x + 14)° + 90° + (4 + 3x)° = 180°

     6x + 108 = 180

     6x = 72

     x = 12

     Measure of angle A = (4 + 3x)

                                       = 4 + 3(12)

                                       = 40°

     Therefore, Option A is the answer.

8 0
2 years ago
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