Hi!
Square roots where the things under the root are multiplied (for example
) can be split up into
.
That's what I'm going to do in this case. I'm going to split
into ![\sqrt[3]{125} * \sqrt[3]{x^{12}}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B125%7D%20%2A%20%5Csqrt%5B3%5D%7Bx%5E%7B12%7D%7D%20%20%20%20)
Now, the cube root of 125 is 5, because 5 * 5 * 5 = 125, and that is the definition of a cube root. (What multiplied 3 times by itself is equal to what's under the root)
Now to look at what the cube root of
is.
A cube root can be rewritten as
, same as a square root can be rewritten to
.
So if you take the cube root of x^12, you can change it to:
![(x^{12} )^{1/3}](https://tex.z-dn.net/?f=%20%28x%5E%7B12%7D%20%29%5E%7B1%2F3%7D%20%20)
If you have a case like this, then you can multiply the two powers (in this case 12 and 1/3) to simplify it. 12 * 1/3 = 4, so you get x^4.
Now putting the two together, you get:
5
as your answer.
Hope this helped!
Answer:
2
Step-by-step explanation:
2/3 weeks is about 4/6 weeks if 1 1/2 is 9/6 weeks, it would possibly be 2
The price of one ticket is $ 62.2
<h3><u>Solution:</u></h3>
Given that a performer expects to sell 5000 tickets for an upcoming event
They want to make a total of $ 311, 000 in sales from these tickets
<em><u>To find: price of one ticket</u></em>
Let us assume that all tickets have the same price
Let "a" be the price of one ticket
So the total sales price of $ 311, 000 is obtained from product of 5000 tickets and price of one ticket
![\text {total sales price }=5000 \times \text { price of one ticket }](https://tex.z-dn.net/?f=%5Ctext%20%7Btotal%20sales%20price%20%7D%3D5000%20%5Ctimes%20%5Ctext%20%7B%20price%20of%20one%20ticket%20%7D)
![311000 = 5000 \times a\\\\a = \frac{311000}{5000}\\\\a = 62.2](https://tex.z-dn.net/?f=311000%20%3D%205000%20%5Ctimes%20a%5C%5C%5C%5Ca%20%3D%20%5Cfrac%7B311000%7D%7B5000%7D%5C%5C%5C%5Ca%20%3D%2062.2)
Thus the price of one ticket is $ 62.2
Answer:
-30
Step-by-step explanation:
Hope this helps! Brainliest is appriciated.
15% as a decimal is 0.15
Our regular cost of chocolates is 1.0
New cost is 1.0 + 0.15 = 1.15
1.15 x 17.25 = 19.8375
In the states we round to the hundredth for cost, so it would be £19.84
Alternate method: calculate 0.15 of 17.25 and add that to 17.25
0.15 x 17.25 = 2.5875
17.25 + 2.5875 = 19.8375