Answer:
490 or 500
Step-by-step explanation:
If we round to the 10th, Julie ran 490 feet.
I we round to the 100th, Julie ran 500 sq. ft.
Answer:
3/2
Step-by-step explanation:
Given the equation 3/2(4x-2)-3x = 5-(x+2)
Open the parenthesis
3/2(4x) - 3/2(2) -3x = 5-x-2
6x-3-3x = 3-x
3x-3 = 3-x
Collect like terms
3x+x = 3+3
4x = 6
Divide both sides by
4x/4 = 6/4
x = 3/2
Hence the value of x is 3/2
Given:
Consider the pentagon MVEDR is dilated with the origin as the center of dilation using the rule
to create pentagon M'V'E'D'R'.
To find:
The correct statement.
Solution:
If a figure dilated by factor k, then the rule of dilation is
![(x,y)\to (kx,ky)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Cto%20%28kx%2Cky%29)
Here,
If k>1, then the image is larger than the original figure.
If k<1, then the image is smaller than the original figure.
We have,
![(x,y)\to(\dfrac{2}{3}x,\dfrac{2}{3}y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Cto%28%5Cdfrac%7B2%7D%7B3%7Dx%2C%5Cdfrac%7B2%7D%7B3%7Dy%29)
Here, M'V'E'D'R' is image and MVEDR is original figure. The scale factor is
![k=\dfrac{2}{3}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B2%7D%7B3%7D%3C1)
Pentagon M'V'E'D'R' is smaller than pentagon MVEDR because the scale factor is less than 1.
Therefore, the correct option is B.
Answer:
Step-by-step explanation:
First you do the division in parentheses and you get (-3/4*8/1) = -24/4 = -6
The new exercise becomes 2/3 *(-6)*1/3
Next, since there are only multiplication we have to do then in order from left to right so we have
-12/3*1/3 = -12/9
We can simplify by 3 and we get -4/3
Anwer choice C