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DaniilM [7]
3 years ago
10

Parallelogram

Mathematics
1 answer:
umka2103 [35]3 years ago
8 0

Answer:

Rhombus

Step-by-step explanation:

it's like a diamond but it's a little bit thicker

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Jamie ordered 200 business cards and paid $23. She ordered 500 business cards a few months later and paid $35. Write and solve a
Gnesinka [82]

Answer:

To purchase 700 business cards, Jamie needs to pay $43.

Step-by-step explanation:

We are given that Jamie ordered 200 business cards and paid $23 in total.

We are also given that Jamie ordered 500 business cards and paid $35.

We can use the rate of change formula to find the average change.

\displaystyle \bullet \ \ \ \frac{\triangle y}{\triangle x}

This can also be represented with:

\displaystyle \bullet \ \ \ \frac{y_2-y_1}{x_2-x_1}

Therefore, we need to identify our variables.

In every relationship, there is a <u>dependent variable</u> and an <u>independent variable</u>.

  • The independent variable is the variable that an experimenter adjusts in order to receive an altered effect from an output.
  • The dependent variable is the variable that adjusts based on the changes made to the independent variable.

We change the amount of business cards that are purchased, which in turn, changes the price.

The y-variable is assigned to the dependent variable and the x-variable is assigned to the dependent variable.

Therefore, if we use the coordinate system:

  • (200, 23)
  • (500, 35)

Now, we can name our coordinates. We use this system:

  • (x₁, y₁)
  • (x₂, y₂)

This means that we can name our points:

  • x₁ = 200
  • y₁ = 23
  • x₂ = 500
  • y₂ = 35

Revisiting the rate of change formula, we can insert these values.

\displaystyle \frac{y_2-y_1}{x_2-x_1}

\displaystyle \frac{35 - 23}{500-200}\\\\\frac{12}{300}=\frac{1}{25}

Next, we need to find the y-intercept of our line. We can do this by using one coordinate pair from above and our slope.

The slope-intercept equation is:

\bullet \ \ \ y = mx + b

We already know m:

\displaystyle \bullet \ \ \ \frac{1}{25}

We also know x and y (we take them from of the coordinate pairs):

\bullet \ \ \ x = 200

\bullet \ \ \ y = 23

Now, we can substitute these values into the equation and solve for b.

\displaystyle [y = mx + b]\\\\23 = \frac{1}{25}(200) + b\\\\23 = 8 + b\\\\23 - 8 = 8 - 8 + b\\\\15 = b\\\\b = 15

Now, we can set up our linear equation.

\displaystyle y = \frac{1}{25}x + 15

Therefore, in order to find the price of 700 business cards, we make x in the equation equal 700 and then solve.

\displaystyle y = \frac{1}{25}(700)+15\\\\y = 28 + 15\\\\y = 43

Therefore, the price of 700 business cards is equal to $43.

3 0
3 years ago
ILL GIVE YOU BRAINLIEST!! Which number is rational?
Dmitry [639]

Answer:

sqrt(64)

Step-by-step explanation:

The square root of 64 = 8  and 8 is a rational number

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Classify the graph as a linear function, nonlinear function, or relation (non- function) 10 O A. Linear function B.
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The population of knoxville is 500,000 and is increasing
Fed [463]

Answer:

Wow :o

Step-by-step explanation:

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Select the three expressions that are equivalent to 4/9
Deffense [45]

Answer:

8/18 or 12/27 or 16/36

Step-by-step explanation:

just add 4 on top and 9 on bottom and u should get all

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