Answer: ![4\dfrac{1}{8}\ \text{bags}](https://tex.z-dn.net/?f=4%5Cdfrac%7B1%7D%7B8%7D%5C%20%5Ctext%7Bbags%7D)
Step-by-step explanation:
Given
Jasper lawn is three-fourth of an acre
1 acre of land requires
bags
convert mixed numeral to fraction
![\Rightarrow 5\dfrac{1}{2}=\dfrac{11}{2}](https://tex.z-dn.net/?f=%5CRightarrow%205%5Cdfrac%7B1%7D%7B2%7D%3D%5Cdfrac%7B11%7D%7B2%7D)
![\therefore 1\ \text{acre}\equiv\dfrac{11}{2}\ \text{bags}\\\\\Rightarrow \dfrac{3}{4}\ \text{acre}\equiv \dfrac{11}{2}\times \dfrac{3}{4}=\dfrac{33}{8}\ \text{bags}](https://tex.z-dn.net/?f=%5Ctherefore%201%5C%20%5Ctext%7Bacre%7D%5Cequiv%5Cdfrac%7B11%7D%7B2%7D%5C%20%5Ctext%7Bbags%7D%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7B3%7D%7B4%7D%5C%20%5Ctext%7Bacre%7D%5Cequiv%20%5Cdfrac%7B11%7D%7B2%7D%5Ctimes%20%5Cdfrac%7B3%7D%7B4%7D%3D%5Cdfrac%7B33%7D%7B8%7D%5C%20%5Ctext%7Bbags%7D)
![\Rightarrow \dfrac{33}{8}\ \text{bags}=4\dfrac{1}{8}\ \text{bags}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7B33%7D%7B8%7D%5C%20%5Ctext%7Bbags%7D%3D4%5Cdfrac%7B1%7D%7B8%7D%5C%20%5Ctext%7Bbags%7D)
Answer:
Each bag costs $4.75
Step-by-step explanation:
41.22 = 3.22 + 8x
38 = 8x
4.75 = x
Answer:
2
Step-by-step explanation:
For any positive numbers a,b we always have the following identity:
![a\cdot b=gcd(a,b)\cdot lcm(a,b)](https://tex.z-dn.net/?f=a%5Ccdot%20b%3Dgcd%28a%2Cb%29%5Ccdot%20lcm%28a%2Cb%29)
(gcd(a,b) denotes the greatest common divisor between a and b, and lcm(a,b) denotes the least common multiple between a and b)
In our case, we are given that
and that
. Plugging that in into our identity, we get:
![44=gcd(a,b)\cdot 22](https://tex.z-dn.net/?f=44%3Dgcd%28a%2Cb%29%5Ccdot%2022)
And so solving for
:
![gcd(a,b)=\frac{44}{22}=2](https://tex.z-dn.net/?f=gcd%28a%2Cb%29%3D%5Cfrac%7B44%7D%7B22%7D%3D2)
I can help you if you still!!!