Answer:
A piece of Jewelry costs $4.5 and a hair accessory costs $1.5.
Step-by-step explanation:
Let the price of a piece of jewelry is $x and that of a piece of hair accessories is $y.
So, from the given conditions we can write two different equations as
5x + 8y = 34.5 ............ (1) and
2x + 16y = 33 ............... (2)
Now, solving the equations (1) and (2) we get
2x + 2(34.5 - 5x) = 33
⇒ 8x = 36
⇒ x = $4.5
Again, from the equation (2) we can write
2(4.5) + 16y = 33
⇒ 16y = 24
⇒ y = $1.5
Therefore, a piece of Jewelry costs $4.5 and a hair accessory costs $1.5. (Answer)
I believe that the question is assuming this is taking place over one month here is what I think you would do.
1) 75/12.5 = 6
2) add that answer to 75, so 75+6, and you get 81
2/3x-40=5/6(x+36)
multiply each side by 6 to get rid of the fraction
6* 2/3x- 6*40=6*5/6(x+36)
4x -240 = 5(x+36)
distribute
4x-240 = 5x +180
subtract 4x from each side
-240 = x +180
subtract 180 from each side
-420 =x
Answer:
radius = 13
Step-by-step explanation:
Look at the attached picture below. We can calculate radius with the help of the Pythagorean theorem. But first we have to find out the values of the two legs.
First let's find the shorter leg.
<u>Equidistant Chords Theorem</u>
Two chords are congruent if they are equidistant from the center.
Chords in the picture are congruent and that means that the distance from the center to each of them is the same!
Let's calculate the distance. But to get the distance we have to find x first.
Since the distances are the same:
Therefore:
Let's focus on the longer leg. Since part of the radius is perpendicular to the chord, it actually bisects the chord! That means that the long leg is going to be a half of the length of the chord.
Therefore:
All that is left is the Pythagorean Theorem in the right triangle.
<u>Pythagorean Theorem</u>
Hypotenuse in our case is the radius.
Answer: NO MODE(S)
explanation: In math mode is the most frequent number. In this case the numbers don't repeat again and that is why there is no mode.
