Answer:
a)The quantity (mg) of medication used to the nearest hundredths is 212.75mg
b) The quantity (mg) of the original medication left in the stock bottle to the nearest tenths is 287.3 mg.
Step-by-step explanation:
For question a) 125mg + 62.5mg +25.25mg= 212.75 mg to the nearest hundredths
b) The quantity left can be calculated by subtracting 212.75 from 500
500 - 212.75 = 287.25 to the nearest tenth is 287.3mg
2x=-y+6
-4x+3y=8
Rewriting the equations;
y+2x=6
3y-4x=8
Multiplying equation I by 3;
3y+6x=18
3y-4x=8
Subtracting equation II from equation I;
10x=10
x=1
Replacing for x in the first equation;
2x=-y+6
2(1)=-y+6
2=-y+6
2-6=-y
-4=-y
y=4
The slope-intercept form: y = mx + b
m - slope
b - y-intercept
We have: m = 1 and b = -1. Substitute:
y = 1x - 1
<h3>Answer: y = x - 1</h3>
Answer:
<h2>x = 8</h2>
![0.2 = \frac{x}{5} - 1.4](https://tex.z-dn.net/?f=0.2%20%3D%20%20%5Cfrac%7Bx%7D%7B5%7D%20%20-%201.4)
Move 1.4 to the left side of the equation
That's
![0.2 + 1.4 = \frac{x}{5} \\ \\ \frac{x}{5} = 1.6](https://tex.z-dn.net/?f=0.2%20%2B%201.4%20%3D%20%20%5Cfrac%7Bx%7D%7B5%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7Bx%7D%7B5%7D%20%20%3D%201.6)
Convert the decimal to fraction
That's
1.6 = 8/5
![\frac{x}{5} = \frac{8}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B5%7D%20%20%3D%20%20%5Cfrac%7B8%7D%7B5%7D%20)
Multiply through by 5
We have
![\frac{x}{5} \times 5 = \frac{8}{5} \times 5 \\ \\ \\ x = 8](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B5%7D%20%20%5Ctimes%205%20%3D%20%20%5Cfrac%7B8%7D%7B5%7D%20%20%5Ctimes%205%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20x%20%3D%208)
Hope this helps you
Answer:
3,200 cm
Step-by-step explanation:
because when you add all them when you multiply