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3 years ago

6

The Frederick country fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get and $

3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

1 answer:

alekssr [168]3 years ago

6 0

Answer:Frederick county:2.5x+15,Montgomery county:3x+10

Step-by-step explanation:

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Graph and label the image of the figure below after a dilation by a factor of 1/2.

neonofarm [45]

Answer:

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

see graph below

Explanation:

Given:

The image of a quadrilateral on a coordinate plane

To find:

The coordinates of the new image after dilation of 1/2 have been applied to the original image.

Then graph the coordinates

First, we need to state the coordinates of the original image:

M = (3, -2)

F = (4, -2)

L = (1, -5)

W = (5, -5)

Next, we will apply a scale factor of 1/2:

$\begin{gathered} Dilation\text{ rule:} \\ (x,\text{ y\rparen}\rightarrow(kx,\text{ ky\rparen} \\ where\text{ k = scale factor} \\ \\ scale\text{ factor = 1/2} \\ M^{\prime}\text{ = \lparen}\frac{1}{2}(3),\text{ }\frac{1}{2}(-2)) \\ M^{\prime}\text{ = \lparen}\frac{3}{2},\text{ -1\rparen} \\ \\ F\text{ = \lparen}\frac{1}{2}(4),\text{ }\frac{1}{2}(-2)) \\ F^{\prime}\text{ = \lparen2, -1\rparen} \end{gathered}$ $\begin{gathered} L\text{ = \lparen}\frac{1}{2}(1),\text{ }\frac{1}{2}(-5)) \\ L^{\prime}\text{ = \lparen}\frac{1}{2},\text{ }\frac{-5}{2}) \\ \\ W\text{ = \lparen}\frac{1}{2}(5),\text{ }\frac{1}{2}(-5)) \\ W^{\prime}\text{ = \lparen}\frac{5}{2},\text{ }\frac{-5}{2}) \end{gathered}$

The new coordinates:

M' (3/2, -1), F' (2, -1), L' (1/2, -5/2), W' (5/2, -5/2)

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

Plotting the coordinates:

3 0

10 months ago

Find the midpoint of the line segment with the endpoints (1, 0) and (2, -10).

Mariulka [41]

Answer:

$\bigl(\frac{3}{2},-5\bigr)$

or in decimal form

$(1.5,-5)$

Step-by-step explanation:

The midpoint of the line with endpoints $(x_1,y_1)$ and $(x_2,y_2)$ is $\bigl(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\bigr)$ . just take the average between the points

so given the points (1,0) and (2,-10)

$x_1=1$

$y_1=0$

$x_2=2$

$y_2=-10$

the midpoint is found as follows:

$\bigl(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\bigr)$

$\bigl(\frac{1+2}{2},\frac{0-10}{2}\bigr)$

$\bigl(\frac{3}{2},\frac{-10}{2}\bigr)$

$\bigl(\frac{3}{2},-5\bigr)$

or in decimal form

$(1.5,-5)$

7 0

3 years ago

Solve<br> 2(x+4)= 20<br> Solve this please

Natasha2012 [34]

2x+8=20
2x=20-8
2x=12
12/2=x
6=x

6 0

2 years ago

Read 2 more answers

What is the gcf for 84 and 54

solmaris [256]

Your answer for the greatest common factor is 6

3 0

3 years ago

The sum of two numbers is 21. The larger number is 6 less than twice the smaller number. Find the two numbers.

Vesnalui [34]

Hey there! :D

21= 2x-6+x

21=3x-6

27=3x

x=9

The smaller number is 9.

The larger number is:

9*2= 18 18-6= 12

The larger number is 12.

I hope this helps!
~kaikers

3 0

3 years ago