Jimmy thought he had purchased 7 folders but he only purchased 6. What was his percent error?

Name the lengths of the sides of three rectangles with perimeters of 12 units. use only whole numbers

disa [49]

3x4=12 1x12=12 6x2=12

You just need to be able to multiply the sides to equal 12. I hope that helps. :)

4 0

3 years ago

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 dependent variable and an independent variable.

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

2 years ago

How do I do this a second way? I totally forgot because I haven't done it in so long.

ira [324]

You take away the 4 from the 8 which is equal to 4 then you have to barrow from the 2 to make the 4 to 14 and when you wait you are basically right your calculation is right

5 0

3 years ago

A rectangular swimming pool that is 10 ft wide by 16 ft long is surrounded by a cement sidewalk of uniform width. If the area of

Alchen [17]

We are asked to solve for the width "x" in the given problem. To visualize the problem, see attached drawing.
We have the area of the swimming pool such as:
Area SP = l x w
Area SP = 10 * 16
Area SP = 160 feet2
Area of the swimming pool plus the sidewalk with uniform width:
Area SP + SW = (10 + x) * (16 + x)
160 + 155 = 160 + 10x + 16x + x2
160 -160 + 155 = 26x + x2
155 = 26 x + x2
x2 + 26x -155= 0
Solving for x, we need to use quadratic formula and the answer is 5 feet.

The value of x is 5 feet.

5 0

3 years ago

Which of the following are roots of the polynomial function?

Bingel [31]

Answer:

1 and -5

Step-by-step explanation:

$~~~~~x^3+3x^2-9x+5=0\\\\\implies x^3-x^2+4x^2-4x-5x+5=0\\\\\implies x^2(x-1)+4x(x-1)-5(x-1)=0\\\\\implies (x-1)(x^2 +4x -5) = 0\\\\\implies (x-1)(x^2+5x -x -5) = 0\\\\\implies (x-1)[x(x+5) -(x+5)] =0\\\\\implies (x-1)(x-1)(x+5)= 0\\\\\implies (x-1)^2(x+5) = 0\\\\\implies x = 1,~~ x = -5$

6 0

1 year ago