24 ounces are how much 1 quart of leaded gasoline weighs
Given the expression,
We will have to rationalize the denominator first. To rationalize the denominator we have to multiply the numerator and denominator both by the square root part of the denominator.
![[(8x-56x^2)(\sqrt{14x-2})]/[(\sqrt{14x-2})(\sqrt{14x-2})]](https://tex.z-dn.net/?f=%20%5B%288x-56x%5E2%29%28%5Csqrt%7B14x-2%7D%29%5D%2F%5B%28%5Csqrt%7B14x-2%7D%29%28%5Csqrt%7B14x-2%7D%29%5D%20)
If we have 
, we will get 
by multiplying them. And 
.
So here in the problem, we will get,
![[(8x-56x^2)(\sqrt{14x-2})]/(14x-2)](https://tex.z-dn.net/?f=%20%5B%288x-56x%5E2%29%28%5Csqrt%7B14x-2%7D%29%5D%2F%2814x-2%29%20)
Now in the numerator we have 
. We can check 8x is common there. we will take out -8x from it, we will get,
And in the denominator we have 
. We can check 2 is common there. If we take out 2 from it we will get,
So we can write the expression as
![[(-8x)(7x-1)(\sqrt{14x-2})]/[2(7x-1)]](https://tex.z-dn.net/?f=%20%5B%28-8x%29%287x-1%29%28%5Csqrt%7B14x-2%7D%29%5D%2F%5B2%287x-1%29%5D%20)
is common to the numerator and denominator both, if we cancel it we will get,
We can divide -8 by the denominator, as -8 os divisible by 2. By dividing them we will get,
So we have got the required answer here.
The correct option is the last one.
Answer:
$1.21
Explanation:
What we know:
- $5.88=3 pounds of apples
- price went up by $0.75 per pound
First, we divide $5.88 by 3 to find out how much one pound of apples cost.
5.88/3
=1.96
Therefore, the new price of apples per pound is $1.96.
Because the old price of apples per pound was $0.75 cheaper, we subtract 0.75 from 1.96.
1.96-0.75
=1.21
Therefore, the old price of apples per pound was $1.21.
I hope this helps! Please comment if you have any questions.
The angstrom<span>, also known as the </span>angstrom<span> unit, is a measure of displacement equal to 0.0000000001 meter (10 -10 m). It would be helpful to convert the units of angstrom to mm. We do as follows:
diameter = 2 x 1.35 x10^ -10 m ( 1000 mm / 1 m ) = 2.7 x 10^-10 mm / atom
Number of gold atoms = 8.5 mm / </span>2.7 x 10^-10 mm / atom = 31481481481.481 atoms
