What’s the GCF of (45x power of 2) y, and (54xy power of 2)
2 answers:
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By solving given equations, the value of c is 30.
Given two equations
x + 2y = 10 and
3x + 6y = c
These lines represents the same line for some constant c.
Value of c:
x + 2y = 10-------------(1)
3x + 6y = c-------------(2)
Dividing equation (2) by 3
After solving the above equation, we get
x + 2y = c/3-----------(3)
Remember that a line is written as ax + by = c, in our case, both lines have a =1 and b = 2. Therefore, in orther that the two lines are equal, we need that, 10 = c/3
c = 10 × 3 = 30
c = 30
Therefore,
The value of c is 30.
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Question:
Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?
Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.
Answer:
It will take 6 days
Step-by-step explanation:
For Jesse:
This implies that Jesse will cover 30y in y days
For Amir:
This implies that Amir will cover 35x in x days
Because Amir starts a day later,
So, we have the following equations:
To get the number of days when they read the same number of pages, we have:
Substitute values for Jesse and Amir
Substitute x + 1 for y
Open bracket
Collect Like Terms
Solve for x