Answer:
The purchase price is $180
The total price is: $189
Step-by-step explanation:
Sales tax rate = 5\%
Sales tax on bike = $9
We need to find the purchase price.
Let purchase price = x
We know that Sales tax = 5% of x
and Total price = Purchase Price + Sales tax
So, we can write:
Sales tax = 5% of x
Putting values and finding x

So, the value of x i.e Purchase price = $180
The purchase price is $180
Now finding the total price of bicycle
Total price = Purchase Price + Sales tax
Total price = 180 + 9
Total price = $189
So, The total price is: $189
Answer:
A. The explanatory variable is the number of items viewed. This explanatory variable is quantitative.
Step-by-step explanation:
The variable that we can change is called the Explanatory Variable.
The Response variable depends upon the explanatory variable, as we change the value of the explanatory variable the value of the response variable is also get changed.
When the data is in the form of numeric, it is called quantitative.
When the data is not in the numeric form, it is called qualitative.
Here, we have to determine which web page design is better and it depends on the number of the item viewed by a visitor to that site.
Thus, the Explanatory variable is the "number of items viewed".
and the number of items viewed is numeric data, so it is quantitative.
Hence, option (A) is correct.
Answer:
a) k = 5; (-10, -35)
Step-by-step explanation:
Given:
Co-ordinates:
Pre-Image = (-12,3)
After dilation
Image = (-60,15)
The dilation about the origin can be given as :
Pre-Image
where
represents the scalar factor.
We can find value of
for the given co-ordinates by finding the ratio of
or
co-ordinates of the image and pre-image.

For the given co-ordinates.
Pre-Image = (-12,3)
Image = (-60,15)
The value of 
or 
As we get
for both ratios i.e of
and
co-ordinates, so we can say the image has been dilated by a factor of 5 about the origin.
To find the image of (-2,-7), after same dilation, we will multiply the co-ordinates with the scalar factor.
Pre-Image
Image
Pre-Image
Image
(Answer)
Answer:
y=1/2x+5/2
Step-by-step explanation:
expand the point-slope form and rearrange to y=mx+b
y-3=1/2(x-1)
y-3=1/2x-1/2
y=1/2x+5/2