Answer:
Step-by-step explanation:
Fractions
Answer:
-37m+6
Step-by-step explanation:
mkay so when working with simplifying any expressions like that, you wanna start with getting rid of your brackets. To do that, you simply take the number directly outside the bracket and you multiply it by everything inside. Let's take -9(m+2) first. You have to multiply everything inside the bracket by -9, so you have -9*m and -9*2, so you end up with -9m and -18. Now you do that to the second part of the equation (4*6 and 4*-7m) and you end up with 24 and -28m. Now you join all your terms together, and you have -9m-18+24-28m. Now all you do is add like terms (so -9m + -28m and -18+24) and you end up with a simplified expression of -37m+6. I hope this helped a little :)).
Answer:
6meters
Step-by-step explanation:
Length of rectangle = 9meters
Width of rectangle = 4meters
Area of rectangle = Length X Width = 4 * 9 = 36m²
Area of rectangle = area of square = 36m²
Area of square = L² = 36m²
L = √36m²
L = 6m
Given:
The total revenue of this year = $14,600
This year revenue is 27% less than their total revenue in the previous year.
To find:
The total revenue in the previous year.
Solution:
Let x be the total revenue of the previous year.
This year revenue is 27% less than their total revenue the previous year.
Revenue in this year = Revenue in previous year - 27% of it
![14600=x-\dfrac{27}{100}x](https://tex.z-dn.net/?f=14600%3Dx-%5Cdfrac%7B27%7D%7B100%7Dx)
![14600=x-0.27x](https://tex.z-dn.net/?f=14600%3Dx-0.27x)
![14600=0.73x](https://tex.z-dn.net/?f=14600%3D0.73x)
Divide both sides by 0.73.
![\dfrac{14600}{0.73}=x](https://tex.z-dn.net/?f=%5Cdfrac%7B14600%7D%7B0.73%7D%3Dx)
![20,000=x](https://tex.z-dn.net/?f=20%2C000%3Dx)
Therefore, the total revenue in the previous year is $20,000.
Given:
Number of spheres = 2
Number of prisms = 3
Number of pyramids = 5
To find:
The probability that a pyramid will be selected.
Solution:
We have,
Favorable outcomes = Number of pyramids
= 5
Total outcomes = Total number of figures
= ![2+3+5](https://tex.z-dn.net/?f=2%2B3%2B5)
= ![10](https://tex.z-dn.net/?f=10)
Now, the required probability is:
![\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}](https://tex.z-dn.net/?f=%5Ctext%7BProbability%7D%3D%5Cdfrac%7B%5Ctext%7BFavorable%20outcomes%7D%7D%7B%5Ctext%7BTotal%20outcomes%7D%7D)
![\text{Probability}=\dfrac{5}{10}](https://tex.z-dn.net/?f=%5Ctext%7BProbability%7D%3D%5Cdfrac%7B5%7D%7B10%7D)
![\text{Probability}=0.5](https://tex.z-dn.net/?f=%5Ctext%7BProbability%7D%3D0.5)
Therefore, the probability that a pyramid will be selected is 0.5.