Wen you deduct an amount from something
Answer:
Step-by-step explanatinon:
percent is per hundred
4 dimes is 40 cents or $0.40 or 40/100 of a dollar which is40%
1 nickel and 3 pennies or 8 cents or $0.08 Or 8/100 or 8%
5 quarters and one dime is 135/100 or $1.35 or 135/100 which is 135%
The value of the given expression is ![\frac{-13}{20}.](https://tex.z-dn.net/?f=%5Cfrac%7B-13%7D%7B20%7D.)
Solution:
Given expression is
.
Let us first convert mixed fraction into improper fraction.
![3\frac{2}{5}=\frac{(3\times5)+2}{5}=\frac{17}{5}](https://tex.z-dn.net/?f=3%5Cfrac%7B2%7D%7B5%7D%3D%5Cfrac%7B%283%5Ctimes5%29%2B2%7D%7B5%7D%3D%5Cfrac%7B17%7D%7B5%7D)
Substitute this in the given expression.
![\frac{3}{4} \times3\frac{2}{5}-\frac{5}{5}=\frac{3}{4} \times\frac{7}{15}-\frac{5}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%5Ctimes3%5Cfrac%7B2%7D%7B5%7D-%5Cfrac%7B5%7D%7B5%7D%3D%5Cfrac%7B3%7D%7B4%7D%20%5Ctimes%5Cfrac%7B7%7D%7B15%7D-%5Cfrac%7B5%7D%7B5%7D)
![=\frac{21}{60}-\frac{5}{5}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B21%7D%7B60%7D-%5Cfrac%7B5%7D%7B5%7D)
To simplify the above expression, 21 and 60 are cancelled by 3.
![=\frac{7}{20}-\frac{1}{1}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B7%7D%7B20%7D-%5Cfrac%7B1%7D%7B1%7D)
Do cross multiplication to make the denominator same.
![=\frac{7}{20}-\frac{20}{20}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B7%7D%7B20%7D-%5Cfrac%7B20%7D%7B20%7D)
![=\frac{7-20}{20}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B7-20%7D%7B20%7D)
![=\frac{-13}{20}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B-13%7D%7B20%7D)
The value of the given expression is ![\frac{-13}{20}.](https://tex.z-dn.net/?f=%5Cfrac%7B-13%7D%7B20%7D.)
The shaded region is a parallelogram.
The formula for the area of any parallelogram is
![A=bh](https://tex.z-dn.net/?f=A%3Dbh)
.
The base of the parallelogram is 2 meters long (given).
The height of the parallelogram is 9 meters (do not be fooled by the unnecessary information of 14 meters)
The height is 9 meters because the height has to be perpendicular to the base. Thus, the side length must be 9 meters.
Multiply them together.
![2 \times 9 = 18](https://tex.z-dn.net/?f=2%20%5Ctimes%209%20%3D%2018)
The area of the parallelogram is 18 square meters.