Answer:
5.6 miles
Step-by-step explanation:
Firstly, we need to find the unit rate (the number of miles in 1 minutes).
To get this, we need to divide total miles ran (7 miles) by the total minutes taken (80 minutes). Thus, we will have MILES PER MINUTE.
7 miles ÷ 80 minutes = 7/80 miles per minute
Now,
We want number of miles in 64 minutes. Since we know "PER MINUTE", we simply multiply that with 64 to get number of miles in that amount of time.
THus,

So, in 64 minutes, Maria can run 5.6 miles
Answer: A. 1 pound of cabbage will cost 40 cents. B. (10,4) means that 10 pounds of cabbage will cost 4 dollars.
Step-by-step explanation:
If it is proportional that means the y value divided by the x value will give you a constant slope.
So using that use the coordinates (5,2) to find the cost of 1 pound of cabbage.
2/5 = 0.4
so you could write the equation y= 0.4x where x is the number of pound.
Part A: y= 0.4(1)
y= $0.40 which means one pound of cabbage will cost 40 cents.
Part B. (10,4) in this case it will means that for 10 pounds of cabbage it will cost $4.
Plot it into the equation and find out
in the coordinates (10,4) 4 is the y and 10 is the x
4= 0.4(10)
4= 4
Which means it true that 10 pounds of cabbage will cost 4 dollars.
The standard form of this equation is

The slope of two parallel lines i the same, so the slope of the line we're looking for is also

Since the line passes through

, the equation is:

First we join the two endpoints of the semicircle and that will be the diameter.
And to find the length of the diameter, we have to use distance formula, with one endpoint (3,2) and the other is (-4,-2) .
SO we get

Radius is half of diameter, so the radius is

Formula of area of circle is

So the area of semicircle is

And the other figure is a triangle, with


Therefore, total area is the sum of area of semicircle and area of triangle,
And we will get

Correct option is the third option .