Answer:
Step-by-step explanation:
Given expression is:
![(\sqrt[8]{x^7} )^{6}](https://tex.z-dn.net/?f=%28%5Csqrt%5B8%5D%7Bx%5E7%7D%20%29%5E%7B6%7D)
First we will use the rule:
![\sqrt[n]{x} = x^{\frac{1}{n} }](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%7D%20%3D%20x%5E%7B%5Cfrac%7B1%7D%7Bn%7D%20%7D)
So for the given expression:
![\sqrt[8]{x^{7}}=(x^{7} )^{\frac{1}{8} }](https://tex.z-dn.net/?f=%5Csqrt%5B8%5D%7Bx%5E%7B7%7D%7D%3D%28x%5E%7B7%7D%20%29%5E%7B%5Cfrac%7B1%7D%7B8%7D%20%7D)
We will use tha property of multiplication on powers:
Applying the outer exponent now
Let the ratio of the number of blue to yellow cards be 4:3
since blue has 4 parts and yellow has 3, the total would be 7 equal parts which sum up to 84
--> each part is equal to 12
blue has 4 parts so there are 4*12=48 blue cards in total
Answer:
140 coins
Step-by-step explanation:
To calculate the total number of coins Kate have in her collection, we can use the rule of three:
The problem says that 7 of her coins are equivalent of 5% of her entire collection, and we want to know the total number of coins (100%) of her collection. So, if 7 coins are 5%, how much coins are 100%:
7 -> 5%
X -> 100%
7/X = 5/100
X = 100*7/5 = 140 coins
It would be over 12% (11.98375085%)
Lets break it down:
You need to find what percent 177 is of 1,477.
To do this, you need to do 177÷1,477 to get 0.1198 and so on
(To find a percent from a decimal, you move the decimal point 2 places to the right)
If you find the percent, it would be 11.98 (and so on) percent. Rounded to the nearest 1%, it would be 12%
Hope this helps!
Answer:
B ≥ 0.5 - A ≤ -2.5 = -3 is ( 0.5x ) - ( -2.5x) = -3x
Step-by-step explanation:
A and B = 2 skydiver's distance each from x = -2.5 and 0.5 inequality shows us when x = 0 then A ≤ -2.5 The second inequality shows us when x = 0 then B ≥ 0.5 here on number line we an keep closed circles and shaded lines in opposite direction each from 0 showing domain is x domain = -2.5 to 0 and x domain = 0 to 5 (using commas instead of to) The actual expression then goes B ≥ 0.5 - A ≤ -2.5 = -3 so we an just use ( 0.5x ) - ( -2.5x) = -3x
