Remember that unit price how much money per one. For example, if the sale was $12 for 3apples ($12 / 3apples) the the unit price is $4 / apple.
Looking at your problem, 3 kg of wood for $5.55 is the same as $5.55 / 3kg. As a unit price, this is $1.85/kg. Simply divide the numerator by the denominator (5.55 divided by 3).
You can look at this as simplifying fractions.
![\frac{5.55}{3kg} \frac{/3}{/3} = \frac{5.55/3}{1kg} = 1.85/kg](https://tex.z-dn.net/?f=%20%5Cfrac%7B5.55%7D%7B3kg%7D%20%20%5Cfrac%7B%2F3%7D%7B%2F3%7D%20%3D%20%20%5Cfrac%7B5.55%2F3%7D%7B1kg%7D%20%3D%201.85%2Fkg)
.
So 5 kg of wood for $7.50, or $7.50/5kg, would be $1.5 / kg.
Obviously, the better buy would be the cheaper one: $1.5 / kg.
Answer:
The geometric mean of 6 and 16 = ![4\sqrt{6}](https://tex.z-dn.net/?f=4%5Csqrt%7B6%7D)
Step-by-step explanation:
The Geometric Mean is basically a special type of average which can be determined
- by multiply the numbers together and subsequently taking a square root in case there are two numbers; but we take cube root in case there three numbers etc.
So, lets take the geometric mean of 6 and 16
Considering the number
6 and 16
- Step 1: Multiply the numbers i.e. 6 × 16 = 96
Step 2: As there are two number, so just take the square root i.e. ![\sqrt{96} =4\sqrt{6}](https://tex.z-dn.net/?f=%5Csqrt%7B96%7D%20%3D4%5Csqrt%7B6%7D)
In other words:
Geometric Mean of 6 and 16:
![\sqrt{6\times16}](https://tex.z-dn.net/?f=%5Csqrt%7B6%5Ctimes16%7D)
![\mathrm{Prime\:factorization\:of\:}96:\quad 2^5\cdot \:3](https://tex.z-dn.net/?f=%5Cmathrm%7BPrime%5C%3Afactorization%5C%3Aof%5C%3A%7D96%3A%5Cquad%202%5E5%5Ccdot%20%5C%3A3)
![=\sqrt{2^5\cdot \:3}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B2%5E5%5Ccdot%20%5C%3A3%7D)
![=\sqrt{2^4\cdot \:2\cdot \:3}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B2%5E4%5Ccdot%20%5C%3A2%5Ccdot%20%5C%3A3%7D)
![\mathrm{Apply\:radical\:rule}:\quad \sqrt{ab}=\sqrt{a}\sqrt{b},\:\quad \:a\ge 0,\:b\ge 0](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aradical%5C%3Arule%7D%3A%5Cquad%20%5Csqrt%7Bab%7D%3D%5Csqrt%7Ba%7D%5Csqrt%7Bb%7D%2C%5C%3A%5Cquad%20%5C%3Aa%5Cge%200%2C%5C%3Ab%5Cge%200)
![=\sqrt{2^4}\sqrt{2\cdot \:3}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B2%5E4%7D%5Csqrt%7B2%5Ccdot%20%5C%3A3%7D)
![=2^{\frac{4}{2}}\sqrt{2\cdot \:3}](https://tex.z-dn.net/?f=%3D2%5E%7B%5Cfrac%7B4%7D%7B2%7D%7D%5Csqrt%7B2%5Ccdot%20%5C%3A3%7D)
![=2^2\sqrt{2\cdot \:3}](https://tex.z-dn.net/?f=%3D2%5E2%5Csqrt%7B2%5Ccdot%20%5C%3A3%7D)
![=4\sqrt{6}](https://tex.z-dn.net/?f=%3D4%5Csqrt%7B6%7D)
Therefore, the geometric mean of 6 and 16 =
Answer:
e=3 d=2
e=7 d=3
e=11 d=4
e=15 d=5
Step-by-step explanation:
all you have to do is solve for the d by substituting the value of e into the equation.
Answer:
$0.45
Step-by-step explanation:
1 pint = 2 cups
so 2 pints = 4 cups, $1.80
so 1 cup is 1.80/4 = $0.45