The graph shows the amount of money earned by a teacher for running an after-school homework help session. How much does the tea
cher earn per hour?
1 answer:
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Answer:
Cost of 1 DVD is $6.5
Cost of one CD is $4.5
Combine cost of one DVD and CD is $11
Step-by-step explanation:
Given :
Kate bought 3 used CDs and 1 used DVD at the bookstore.
Her friend Joel bought 2 used CDs and 2 used DVDs at the same store.
Kate spent $20
Joel spent $22
To Find : the cost of a used CD and a used DVD
Solution :
Let cost of 1 used CDs be $x
Let cost of 1 used DVDs be $y
Cost of 3 used CDs = $3x
Cost of 2 used CDs = $2x
Cost of 2 used DVDs = $2y
Kate bought 3 used CDs and 1 used DVD at the bookstore.
She spent $20
So, equation becomes :
⇒ ---(a)
Joel bought 2 used CDs and 2 used DVDs. she spent $22.
So, equation becomes:
⇒ --(b)
Now solve (a) and (b) to determine the value of x and y
We will use substitution method
Substitute the value of x from (b) in (a)
Thus cost of 1 DVD is $6.5
Now substitute this value of y in b to get value of x
⇒
⇒
⇒
⇒
⇒
⇒
Thus the cost of one CD is $4.5
Hence the combine cost of one DVD and CD = $6.5+ $4.5=$11
Answer:
Option A) Inside the circle
Step-by-step explanation:
step 1
Find the radius of the circle
we know that
The radius is equal to the distance from the center to any point on the circle
the formula to calculate the distance between two points is equal to
we have
A(-5,-8),M(-1,-3)
substitute the values
step 2
Find the distance from the center to point V
we know that
If the distance from the center to point V is equal to the radius, then the point V lie on the circle
If the distance from the center to point V is less than the radius, then the point V lie inside the circle
If the distance from the center to point V is greater than the radius, then the point V lie outside the circle
we have
A(-5,-8),V(-11,-6)
substitute in the formula
so
The distance from the center to point V is less than the radius
therefore
The point V lie inside the circle
Hope that helped :)