answer: 2 × 2 × 2 × 2 × 2 = 32
Step-by-step explanation:

Answer: 175
Step-by-step explanation: total = x + 5y dollars and dollars = 300 so
x + 5y = 300 then since we know y = 200 we can substitute that
x + 5(200) = 300 then subtract x from 200
x + 5(200 - x) = 300 now solve for x
x + 5(200) + 5(-x) = 300 we know 5 times 200 is 1000
x + 1000 - 5x = 300 then subtract 5x - x = -4x
-4x + 1000 = 300 switch around 1000 and 300
-4x = 300 - 1000 subtract 300 - 1000 = -700
-4x = -700 multiply
x = -700/(-4) then finish up and solve
x = 175
hope this helps please mark brainliest if you can
Answer:

Step-by-step explanation:
step 1
Find the slope
The formula to calculate the slope between two points is equal to

we have
the points (−1,12) and (1,2)
substitute



step 2
we know that
The equation of the line in slope intercept form is equl to

where
m is the slope
b is the y-intercept
we have


substitute in the linear equation and solve for b


therefore

Let n = the hours elapsed when the two trains are 660 miles apart.
Let the first train travel east and the second train travel west.
The distance traveled by the first train is
x = (50 mi/h)*(n h) = 50n mi
The distance traveled by the second train is
y = (60 mi/h)*(n h) = 60n h
The distance between the two trains after n hours is
x + y = 50 n + 60n = 110n mi
Because this distance is 660 miles, therefore
110n = 660
n = 6 hours
Answer: 6 hours
I hope this helps. Sorry it took so long
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)