1) Ben had three times as many nickels as dimes. If the total value of his coins was $1, how many of each kind of coin did he ha
1 answer:
You might be interested in
Answer:
36π
Step-by-step explanation:
The area of a circle is given as:
where r = radius of the circle
The area of a sector of a circle is given as:
where α = central angle in radians
Since is the area of a circle, A, this implies that:
A circle has a sector with area 33 pi and a central angle of 11/6 pi radians.
Therefore, the area of the circle, A, is:
The area of the circle is 36π.
Answer:
see below
Step-by-step explanation:
Put -1 where x is in each expression and evaluate it.
__
You will find that the expression is zero when the numerator is zero. And you will find the numerator is zero when it has a factor that is equivalent to ...
(x +1)
Substituting x=-1 into this factor makes it be ...
(-1 +1) = 0
__
Evaluating the first expression, we have ...
This first expression is one you want to "check."
You can see that the reason the expression is zero is that x+1 has a sum of zero. You can look for that same sum in the other expressions. (The tricky one is the one with the factor (x -(-1)). You know, of course, that -(-1) = +1.)
Answer:
Markup of _66.67_ % or $ _33,92_ per pair of boots
Step-by-step explanation:
In order to find the markup per pair of boots, we need to find the sales price BEFORE tax.
That can be done simply with a cross-multiplication (106.25 represents total price with 6.25% tax, and 100 represent amount of sales before tax)
if we isolate x we have x = (90.10 * 100) / 106.25 = $84.80
We can then easily calculate the markup amount, since the boots were sold $84.80 and Marissa paid $50.88, that means her markup amount is $33.92.
Now, let's calculate the markup percentage by see how much $33.92 represents compared to the initial price of $50.88:
$33.92 / $50.88 = 66.67%