Answer:
Charlene cannot bring 20 books because the weight of her luggage will be more than the permitted weight. She can only bring at most 15 books
We can represent this inequality as:
5 + 3x ≤ 50
Step-by-step explanation:
Whenever we are dealing with inequalities, a good trick is to solve the problem using an "equals to" sign and change it to the "inequality" sign at the last minute.
Let us assume that she carries x books.
The weight of her suitcase + the weight of all the 3-pound books must not be more than 50 pounds.
We can represent this inequality as:
5 + 3x ≤ 50
having said this, to find the value of x, which is the maximum number of books she is allowed to carry.
To do this, we replace the inequality sign with the "equals to" sign
5 + 3x = 50
from this, we have that
3x = 45;
x = 45/3
x = 15 books
From this, we can see that Charlene is not allowed to carry more than 15 books.
i.e x ≤ 15
Charlene cannot bring 20 books because the weight of her luggage will be more than the permitted weight. She can only bring at most 15 books
Answer:
Step-by-step explanation:
Assuming the system is solvable in the first place, create an augmented matrix of coefficients from the equations. Then put the matrix into reduced row echelon form.
Example is attached.
"Demonstrate by solving the following system."
You need to provide the system of equations.
<u>Question Completion</u>
How deep is the cake batter?
Answer:
3.3 cm
Step-by-step explanation:
Given that the cake pan is a right rectangular prism 20cm by 28cm.
Now, Whitney puts of batter into the pan, we are to determine how deep the batter is.
Volume of a rectangular prism=Length X Width X Height
Volume of the batter = 20 X 28 X Height
1848 =560 X Height
Height =1848/560
Height=3.3cm
Therefore, the cake batter is 3.3 cm deep.