Use this trick:
place the very 1st digit then put a point. Now, count the no. of digits ignoring the very 1st one u already placed.. In this case no. of digits ignoring 8 is eight. so write
8.01 x10^8
D. You have to since the sign is opened to the left, go right. So, Y>-1.5
It’s to the opposite
Answer:
108 pounds of mulch.
64 pounds of gravel.
Step-by-step explanation:
Let x be the amount of mulch sold and y be the amount of gravel sold.
We have been given that a supplier sells 2 1/4 pounds of mulch for every 1 1/3 pounds of gravel.
![2\frac{1}{4}=\frac{9}{4}](https://tex.z-dn.net/?f=2%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B9%7D%7B4%7D)
We can represent this information as:
![\frac{x}{y}=\frac{\frac{9}{4}}{\frac{4}{3}}...(1)](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%3D%5Cfrac%7B%5Cfrac%7B9%7D%7B4%7D%7D%7B%5Cfrac%7B4%7D%7B3%7D%7D...%281%29)
We are also told that the supplier sells 172 pounds of mulch and gravel combined. We can represent this information as:
![x+y=172...(2)](https://tex.z-dn.net/?f=x%2By%3D172...%282%29)
From equation (1) we will get,
![\frac{x}{y}=\frac{27}{16}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%3D%5Cfrac%7B27%7D%7B16%7D)
![x=y*\frac{27}{16}](https://tex.z-dn.net/?f=x%3Dy%2A%5Cfrac%7B27%7D%7B16%7D)
Substituting this value in equation (2) we will get,
![y*\frac{27}{16}+y=172](https://tex.z-dn.net/?f=y%2A%5Cfrac%7B27%7D%7B16%7D%2By%3D172)
Now let us have a common denominator.
![\frac{27y}{16}+\frac{16y}{16}=172](https://tex.z-dn.net/?f=%5Cfrac%7B27y%7D%7B16%7D%2B%5Cfrac%7B16y%7D%7B16%7D%3D172)
![\frac{27y+16y}{16}=172](https://tex.z-dn.net/?f=%5Cfrac%7B27y%2B16y%7D%7B16%7D%3D172)
![16*\frac{43y}{16}=16*172](https://tex.z-dn.net/?f=16%2A%5Cfrac%7B43y%7D%7B16%7D%3D16%2A172)
![43y=2752](https://tex.z-dn.net/?f=43y%3D2752)
![y=\frac{2752}{43}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2752%7D%7B43%7D)
Therefore, the supplier sold 64 pounds of gravel.
Upon substituting y=64 in equation (2) we will get,
![x+64=172](https://tex.z-dn.net/?f=x%2B64%3D172)
![x=172-64](https://tex.z-dn.net/?f=x%3D172-64)
![x=108](https://tex.z-dn.net/?f=x%3D108)
Therefore, the supplier sold 108 pounds of mulch.
-1 716/1000 can be simplified by getting and touching the fraction part. Just don't mind yet the whole number part.
The numerator 716 and the denominator 1000 are divisible by 4. So divide the numerator and denominator by 4
716 / 4 = 179
1000 / 4 = 250
So the new fraction is -1 179/250
Converting it to improper fraction, we get.
-429/250