Answer:
3/8 or 0.375 or 37.5%
Step-by-step explanation:
red, blue, yellow gumballs = 125 total
green gumballs= 75
75 green/200 total gumballs
simplified = 3/8
Answer:
A. -19
Step-by-step explanation:
5x - 3y - z
5 (-2) - 3 (2) - 3
-10 - 6 - 3
-16 - 3
-19
Break horizontally in middle
Area of rectangle
Area of triangle
- 1/2BH
- 1/2(20-10)(20-10)
- 1/2(10)²
- 100/2
- 50ft²
Total area
Answer:
Step-by-step explanation:
To find the matrix A, took all the numeric coefficient of the variables, the first column is for x, the second column for y, the third column for z and the last column for w:
![A=\left[\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%261%262%262%5C%5C-7%26-3%265%26-8%5C%5C4%261%261%261%5C%5C3%267%26-1%261%5Cend%7Barray%7D%5Cright%5D)
And the vector B is formed with the solution of each equation of the system:![b=\left[\begin{array}{c}3\\-3\\6\\1\end{array}\right]](https://tex.z-dn.net/?f=b%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D3%5C%5C-3%5C%5C6%5C%5C1%5Cend%7Barray%7D%5Cright%5D)
To apply the Cramer's rule, take the matrix A and replace the column assigned to the variable that you need to solve with the vector b, in this case, that would be the second column. This new matrix is going to be called 
.
![A_{2}=\left[\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right]](https://tex.z-dn.net/?f=A_%7B2%7D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%263%262%262%5C%5C-7%26-3%265%26-8%5C%5C4%266%261%261%5C%5C3%261%26-1%261%5Cend%7Barray%7D%5Cright%5D)
The value of y using Cramer's rule is:
Find the value of the determinant of each matrix, and divide:
Answer:
Therefore, the distance (height) is 24cm.
<u>Brainliest plzzzzz</u>
Step-by-step explanation:
Area of trapezium = 1/2 × (a+b) × h
*a and b are the parallel lengths
Now we are going to find the distance, which is height (also known as 'h').
First, substitute the given values into the equation.
1080 = 1/2 × (55.6 + 34.4) × h
Move the 1/2 over to 1080 and divide.
1080 ÷ 1/2 = (55.6 + 34.4) × h
2160 = (55.6 + 34.4) × h
Add the numbers in the brackets.
2160 = 90 × h
Move 90 over to 2160 and divide.
2160 ÷ 90 = h
24 = h
