-converting to a common denominator
The terms -c of the left side was converted to -4ac/4a to have the same denominator of b^2/4a.
When you multiply 205 by 0.91 you get 186.55 and 205 minus 186.55 is 18.45
This question should be more specific
I'm here buddy,
so, let's take the value of the two bags with equal weight as x.
= x + x + (x +
) = ![\frac{27}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B27%7D%7B4%7D)
= 3x +
= ![\frac{27}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B27%7D%7B4%7D)
= 3x =
- ![\frac{6}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B5%7D)
( let's take the LCM of 4 and 5 = 20
= 3x =
- ![\frac{24}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B24%7D%7B20%7D)
= 3x = ![\frac{111}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B111%7D%7B20%7D)
= x =
÷
=
×
= ![\frac{37}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B37%7D%7B20%7D)
So, the weight of the equal bags are
and the weight of the third bag ( heavy one ) is
+
=
+
= ![\frac{61}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B61%7D%7B20%7D)
1st bag =
kg
2nd bag =
kg
3rd bag =
kg
Hope it helps...
The price of the sweater was reduced by 40%
Step-by-step explanation:
Step 1; Cost before reduction was $20. The cost after reduction was 12$. Cost reduced= cost before reduction - cost after reduction
Cost reduced= $20 - $12 = $8
Step 2; We must find how much of the cost was reduced from the initial cost i.e. how much $8 is to $20. To do this we must convert it into a percentage. We divide the $8 with the $20 to get a value. This value must be multiplied with a 100 to be converted into a percentage.
Cost by which sweater was reduced=
* 100 = 0.4 * 100 = 40
So the price of the sweater was reduced from $20 to $8 which equates to a reduction in 40%.