The correct answers among the choices presented above are options B and D. Two ways to verify that solutions are correct are done by graphing the equations and see where they meet and by s<span>ubstitute back into both equations. The intersection of the graph signifies the solution. Also, when after substituting the solutions to both equations and they satisfy the equality then it is correct.</span>
Okay. Let us do it surgically. Let us solve first the rate of increase in Lliana's Math grade. 86-65 = 21, thus the rate can be written as a fraction 21/65. We will reserve the decimal form once we are done with both rates of increase.
On the same note, Fiona's increase in Math grade is determined by subtracting 70 from her recent grade of 80, thus giving us an increase in her grade by 10. Therefore, the rate of increase in her Math grade is 10/70.
Now, let us take the decimal forms of the students' grade in math respectively. Lliana's is 21/65 or 0.32307692307... Fiona's is 10/70 or 0.14285714285. Now, subtracting this decimals we have 0.18021978021.
Changing it to percent form, we must multiply it by 100 and add the symbol "%". Therefore, we have 18.021978021 %.
Finally, rounding the value to the nearest whole number, we obtained 18.00% or just 18%.
Relationship R is not symmetric and is not reflexive, R is not an asymmetric relation, R is a transitive relation as represented in image.
What is a relation?
- Both the relationship and the function are fairly similar to one another. After learning about function and relation, we can then study how they differ from one another. This is how we can distinguish between relation and function.
- The connection can be viewed as a set of ordered pairs in discrete mathematics. The sets must not be empty in order for it to be used to connect an object through one set to the other. The relation may include two sets or more.
- The relation in mathematics is the connection between different sets of values. Assume that there are different pairs of ordered pairs, x and y.
If set x and set y are related, then set x's values are referred to as its domain while set y's values are referred to as its range.
Relationship R is not symmetric and is not reflexive, R is not an asymmetric relation, R is a transitive relation as represented in image.
Learn more about relation in discrete mathematics here:
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Answer:
A=11/12
Step-by-step explanation:
1/3+a=5/4
1/3+a-1/3=5/4-1/3
1/3+a-1/3
5/4-1/3 11/12
Answer:
1/10
Step-by-step explanation:
Percent spent on cable TV = 10%
Percent means "per hundred".
So, we can write 10% as,
10/100
= 1/10
So the family spent 1/10 of their total budget on cable TV.
