Answer:
Step-by-step explanation:
area of top=7×6=42 yd²
area of bottom=3×6=18 yd²
area of two rectangles=2[4×6]=48 yd²
area of two trapezoids=2[1/2(7+3)×3.5]=35 yd²
total surface area=42+18+48+35=143 yd²
Hello!
![\large\boxed{9 \%}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B9%20%5C%25%7D)
To find the percent tax, use the equation:
![\text{ \% tax} = \frac{\text{ price after - initial price}}{\text{initial price}}](https://tex.z-dn.net/?f=%5Ctext%7B%20%5C%25%20tax%7D%20%3D%20%5Cfrac%7B%5Ctext%7B%20price%20after%20-%20initial%20price%7D%7D%7B%5Ctext%7Binitial%20price%7D%7D)
Substitute in the given values:
![\text{ \% tax} = \frac{\text{ 21.80 - 20}}{\text{20}} \\\\\text{ \% tax} = \frac{1.80}{20} = 0.09](https://tex.z-dn.net/?f=%5Ctext%7B%20%5C%25%20tax%7D%20%3D%20%5Cfrac%7B%5Ctext%7B%2021.80%20-%2020%7D%7D%7B%5Ctext%7B20%7D%7D%20%5C%5C%5C%5C%5Ctext%7B%20%5C%25%20tax%7D%20%3D%20%5Cfrac%7B1.80%7D%7B20%7D%20%3D%200.09)
Multiply by 100 to find the percent tax:
![0.09 * 100 = 9\%](https://tex.z-dn.net/?f=0.09%20%2A%20100%20%3D%209%5C%25)
This is because two angles are zero and top is a straight line, and a line is 180 degrees!
hopes this helps :)
If Stuart starts with -$54.19 then gains $70.82, you have to add the gained amount to the origin amount. Since the origin amount is negative, you can also subtract the origin amount from the gained amount to find the amount left at the end of the month.
Add 70.82 to -54.19
-54.19 + 70.82 = 16.63
<u>Alternative method:</u>
First, subtract 54.19 from 70.82.
70.82 - 54.19 = 16.63
Add 54.19 to -54.19, bringing you to 0.
-54.19 + 54.19 = 0
Now add the remaining 16.63.
0 + 16.63 = 16.63
<h2>Answer:</h2>
<u>Stuart will have </u><u>$16.63</u><u> at the end of this month.</u>
Given:
Total number of cubes = 40
Red cubes = 18
Blue cubes = 13
Yellow cubes = 9
Aysha adds some more red cubes into the bag.
The probability now that she will take a red cube is 0.5.
To find:
The probability that she will take a yellow cube.
Solution:
Let Aysha adds x red cubes into the bag. Then,
Number of total cubes = 40+x
Number of red cubes = 18+x
Probability of getting a red cube is:
![P(Red)=\dfrac{18+x}{40+x}](https://tex.z-dn.net/?f=P%28Red%29%3D%5Cdfrac%7B18%2Bx%7D%7B40%2Bx%7D)
The probability now that she will take a red cube is 0.5. So,
![\dfrac{18+x}{40+x}=0.5](https://tex.z-dn.net/?f=%5Cdfrac%7B18%2Bx%7D%7B40%2Bx%7D%3D0.5)
![18+x=0.5(40+x)](https://tex.z-dn.net/?f=18%2Bx%3D0.5%2840%2Bx%29)
![18+x=20+0.5x](https://tex.z-dn.net/?f=18%2Bx%3D20%2B0.5x)
![x-0.5x=20-18](https://tex.z-dn.net/?f=x-0.5x%3D20-18)
![0.5x=2](https://tex.z-dn.net/?f=0.5x%3D2)
Divide both sides by 0.5.
![x=\dfrac{2}{0.5}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B2%7D%7B0.5%7D)
![x=4](https://tex.z-dn.net/?f=x%3D4)
It means Aysha adds 4 more red cubes into the bag.
Now, the total number of cubes int he bag is:
![40+4=44](https://tex.z-dn.net/?f=40%2B4%3D44)
Probability of getting a yellow cube is:
![P(Yellow)=\dfrac{\text{Number of yellow cubes}}{\text{Total number of cubes}}](https://tex.z-dn.net/?f=P%28Yellow%29%3D%5Cdfrac%7B%5Ctext%7BNumber%20of%20yellow%20cubes%7D%7D%7B%5Ctext%7BTotal%20number%20of%20cubes%7D%7D)
![P(Yellow)=\dfrac{9}{44}](https://tex.z-dn.net/?f=P%28Yellow%29%3D%5Cdfrac%7B9%7D%7B44%7D)
Therefore, the required probability is
.