15x15= 225
15x + 105= 225
15x= 225-105
15x= 120
X=8
X+ (x+1) + (x+2) + (x+3)…etc all the way up too +(x+14)=225
The first five numbers of the set: 8, 9, 10, 11, 12
Alright, so let's make 2 3/5 into an improper fraction.
2 x 5 = 10 + 3 = 13
So 13/5 / 11/25.
Keep, change, flip rule: 13/5 x 25/11.
Now you multiple the numerator and denominator from both fractions. (I'm not going to do the math for you. Hope this helped and sorry if my explanation is...yeah.)
Answer:
y = 4
Step-by-step explanation:
Step 1: Write equation
9/4y - 12 = 1/4y - 4
Step 2: Solve for <em>y</em>
- Subtract 1/4y on both sides: 8/4y - 12 = -4
- Simplify: 2y - 12 = -4
- Add 12 to both sides: 2y = 8
- Divide both sides by 2: y = 4
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
9/4(4) - 12 = 1/4(4) - 4
9 - 12 = 1 - 4
-3 = -3
The possible values that a probability can have ranges from 0 to 1 inclusive.
For this case we must find the product of the following expression:
We combine using the product rule for radicals:
![\sqrt [n] {a} * \sqrt [n] {b} = \sqrt [n] {ab}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%7D%20%2A%20%5Csqrt%20%5Bn%5D%20%7Bb%7D%20%3D%20%5Csqrt%20%5Bn%5D%20%7Bab%7D)
So, we have:
We rewrite the 216 as
By definition of properties of powers and roots we have:
![\sqrt [n] {a ^ n} = a ^ {\frac {n} {n}} = a](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20n%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bn%7D%20%7Bn%7D%7D%20%3D%20a)
Then, the expression is:
Answer:
Option D
