Answer:
Step-by-step explanation:
Work done is given by
, where d = length of cable and w = weight of cable.
Here, d = 175 ft and w = 3 lb/ft
Now, 
![work \ done= 3\left [175x-\frac{x^2}{2} \right ]_0^{175}](https://tex.z-dn.net/?f=work%20%5C%20done%3D%203%5Cleft%20%5B175x-%5Cfrac%7Bx%5E2%7D%7B2%7D%20%20%5Cright%20%5D_0%5E%7B175%7D)
![work \ done= 3\left [175^2-\frac{175^2}{2} \right ]](https://tex.z-dn.net/?f=work%20%5C%20done%3D%203%5Cleft%20%5B175%5E2-%5Cfrac%7B175%5E2%7D%7B2%7D%20%20%5Cright%20%5D)
Answer:
sales tax rate = 4%
Step-by-step explanation:
In this problem formula to express one term in percentage is used
To express x as percentage of y is given by (x/y*100) %
______________________________________________
Cost of item = $480
sales tax = $19.20
we have to find sales tax rate.
sales tax rate is percentage of cost price which will levied as tax .
thus, we have to find sales tax as percentage of cost price.
using the percentage cost as given above
sales tax as percentage = sales tax/ cost of item *100
sales tax as percentage = 19.20/480 *100 = 4%
Thus, sales tax rate is 4%.
It means that if cost price of item is $100 then $4 will be the sales tax for the item.
Hi,
The two numbers should be 12 and 30. 12=2x2x3 while 30=2x3x5.
Their HCF is 2x3=6 and their LCM is 2x3x2x5. Because of their HFC, we know that they are both multiple of 6. Also, the question says they both are GREATER than 6, so they can’t be 6 but are 6 times “something”. Thanks to the LCM, we know that “something” is equal to 2 for the first number and to 5 for the second one, the numbers hence being 12 and 30.
I hope this helps. If I was not clear enough or if you’d like further explanation please let me know. Also, English is not my first language, so I’m sorry for any mistakes.
Example 0.777777
x = 0.77
10(x = 0.77) ----(10 because it is repeating by the tenth digit. if repeating by 2 digits like 0.2828, you'll multiply by 100)
10x = 7.77
-(x = 0.77)
9x = 7.00
x = 7/9
