Answer:
Solution of the proportion:
is x=8.
Step-by-step explanation:
We need to find solution of the proportion: ![\frac{x-6}{4}=\frac{2}{4}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-6%7D%7B4%7D%3D%5Cfrac%7B2%7D%7B4%7D)
For solving the equation, first we will multiply both sides by 4
![\frac{x-6}{4}=\frac{2}{4}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-6%7D%7B4%7D%3D%5Cfrac%7B2%7D%7B4%7D)
![4\times \frac{x-6}{4}=4\times \frac{2}{4}](https://tex.z-dn.net/?f=4%5Ctimes%20%5Cfrac%7Bx-6%7D%7B4%7D%3D4%5Ctimes%20%5Cfrac%7B2%7D%7B4%7D)
![x-6=4(\frac{2}{4})](https://tex.z-dn.net/?f=x-6%3D4%28%5Cfrac%7B2%7D%7B4%7D%29)
Simplifying
![x-6=2](https://tex.z-dn.net/?f=x-6%3D2)
Adding 6 on both sides
![x-6+6=2+6x=8](https://tex.z-dn.net/?f=x-6%2B6%3D2%2B6x%3D8)
So, solution of the proportion:
is x=8.
<em>Note: Kindly recheck your options as correct answer is x =8.</em>
<em />
Answer:
A. x + 100x/y
Step-by-step explanation:
Machine A= x hours longer to produce 660 widget than machine B
Machine B produces y% more widget per hour than machine A
let
b = Number of hours it takes Machine B to make 660 widgets.
Time taken for Machine A to make the 660 widgets = x + b.
Rate of Machine B = 660/b
Rate of Machine A = 660 / (x + b).
Machine B produces y% more widgets per hour than Machine A:
660 / (x + b)(1 + y/100) = 660/b
1 / (x + b)(1 + y/100) = 1 / b
Multiply both sides by (x+b)
1 + y/100 = (x + b)/b
1 + y/100 = x/b + 1
Subtract 1 from both sides
y/100 = x/b
Take the inverse of both sides
100/y = b/x
Make b the subject
100x/y = b
b=100x/y
The time taken for Machine A to make the 660 widgets is x + b = x + 100x/y.
Answer is A. x + 100x/y
This is a right triangle because 10, 24, 26 satisfies the Pythagorean Theorem.
Therefore the 2 legs are 10 and 24.
Area = 10 x 24 /2 = 120 cm^2
Answer:
A. 5x+6
Step-by-step explanation:
-
(9x-18)+8x
-3x+6+8x (multiply across the -1/3)
5x+6 (combine 8x and -3x)
Answer:
Please check out the attachment
Step-by-step explanation:
Stay safe, stay healthy and blessed.
Have a good day !
Thank you