The answer is 28 because 1/4 is equivalent to .25 so 3.25 x 24 equals 28.
Answer:
33 and a half over 7
Step-by-step explanation:
The value remains under the radical is 8 ⇒ last answer
Step-by-step explanation:
Let us revise how to write the exponent as a radical
can be written as ![\sqrt[n]{a^{m}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5E%7Bm%7D%7D)
- To simplify the radical factorize the base "a" to its prime factors
Example:
, - Factorize 54 into prime factors ⇒ 54 = 2 × 3 × 3 × 3 =

![\sqrt[3]{(54)^{2}}=\sqrt[3]{[2(3^{3}]^{2}}=\sqrt[3]{2^{2}*3^{6}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%2854%29%5E%7B2%7D%7D%3D%5Csqrt%5B3%5D%7B%5B2%283%5E%7B3%7D%5D%5E%7B2%7D%7D%3D%5Csqrt%5B3%5D%7B2%5E%7B2%7D%2A3%5E%7B6%7D%7D)
- 2² can not go out the radical because 2 is less than 3 not divisible by 3
can go out the radical because 6 is divisible by 3, then divide 6 by 3, so it will be 3² out the radical![\sqrt[3]{(54)^{2}}=3^{2}\sqrt[3]{2^{2}}=9\sqrt[3]{4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%2854%29%5E%7B2%7D%7D%3D3%5E%7B2%7D%5Csqrt%5B3%5D%7B2%5E%7B2%7D%7D%3D9%5Csqrt%5B3%5D%7B4%7D)
Now let us solve your problem
∵ ![1250^{\frac{3}{4}}=\sqrt[4]{1250^{3}}](https://tex.z-dn.net/?f=1250%5E%7B%5Cfrac%7B3%7D%7B4%7D%7D%3D%5Csqrt%5B4%5D%7B1250%5E%7B3%7D%7D)
- Factorize 1250 to its prime factors
∵ 1250 = 2 × 5 × 5 × 5 × 5
∴ 
∴ ![\sqrt[4]{(2*5^{4})^{3}}=\sqrt[4]{2^{3}*5^{12}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%282%2A5%5E%7B4%7D%29%5E%7B3%7D%7D%3D%5Csqrt%5B4%5D%7B2%5E%7B3%7D%2A5%5E%7B12%7D%7D)
∵ 2³ can not go out the radical because 3 < 4 and not divisible by it
-
can go out the radical because 12 can divided by 4
∵ 12 ÷ 4 = 3
∴
can go out the radical as 5³
∴ ![\sqrt[4]{1250}=5^{3}\sqrt[4]{2^{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B1250%7D%3D5%5E%7B3%7D%5Csqrt%5B4%5D%7B2%5E%7B3%7D%7D)
∴ ![\sqrt[4]{1250}=125\sqrt[4]{8}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B1250%7D%3D125%5Csqrt%5B4%5D%7B8%7D)
∴ The value remains under the radical = 8
The value remains under the radical is 8
Learn more:
You can learn more about the radicals in brainly.com/question/7153188
#LearnwithBrainly
Answer:
<h2>$99.84</h2>
Step-by-step explanation:
Step one:
given data
we are told that before tax the bill is pretax= $78
the tax is 8%
and he left 20% of the pretax for the attendant.
Step two:
let us find the amount he paid for eating with tax
=8/100*78
=0.08*78
=$6.24
with tax the meal cost is
= 78+6.24
=$84.24
let us solve for the tip he left (note: it is 20% of the pretax)
=20/100*78
=0.2*100
=$15.6
the tip is $15.6
Step three:
<u>the total amount he paid after eating plus tax and tip is </u>
78+6.24+15.6
=$99.84