Using equations to solve the word problem, Katherine's age is 8 years
<h3>Word Problem</h3>
Word problem are often mathematical problem that are represented in words and sometimes can be solved using an equation.
To solve this problem, we have to represent the problem using mathematical equations;
Let;
Katherine's age = x²
Alexandra = 5(x + 1)
Sum of their age = 109
5(x + 1) + x² = 109
5x + 5 + x² = 109
x² + 5x - 104 = 0
Solving for the equation; x = 8
Katherine's age is 8
Learn more on word problem here;
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Answer:
the factors are:
![\frac{2}{3}\times \frac{3}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%5Ctimes%20%5Cfrac%7B3%7D%7B5%7D)
Option C is correct option.
Step-by-step explanation:
The overlapping section(green colours common for both) while blue represents first factor and yellow represent second factor.
Solving:
The first part of the factor is considered horizontal rows (as shown in figure)
So, we have 3 horizontal rows and 2 rows are coloured so, the fraction will be: ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
For the second factor, we consider vertical columns (as shown in figure)
So, we have 5 columns and 3 columns are coloured so, the fraction will be: ![\frac{3}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D)
So, the result will be:
![\frac{2}{3}\times \frac{3}{5}=\frac{6}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%5Ctimes%20%5Cfrac%7B3%7D%7B5%7D%3D%5Cfrac%7B6%7D%7B15%7D)
So, the factors are:
![\frac{2}{3}\times \frac{3}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%5Ctimes%20%5Cfrac%7B3%7D%7B5%7D)
Option C is correct option.
Answer:
Graph or the problem?
Step-by-step explanation: