Leigh and Sara paid $1,178 last month to rent their apartment. Last mon had 31 days. They divide to find out how much they paid
1 answer:
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Step 1
<u>Find the Greatest Common Factor (GCF)</u>
the prime factorization of each number is equal to
The GCF is 17
That means that the maximum number of packets is 17 and the maximum number of the items possible in each packet is
Number of pencils=527/17=31 pencils in each packet
Number of erasers=646/17=38 erasers in each packet
Number of sharpeners=748/17=44 sharpeners in each packet
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<h2>Hope this helps!</h2>
Answer:
The answer is a. 3x - y = -11
Step-by-step explanation:
Firstly, you must find the gradient. This is found using the following formula:
Make sure that the x2 and y2 values are in the same coordinate set:
Let's set (-3 , 2) as y1 and x1,
y1 = 2 and x1 = -3
That means that (-5 , 8) is y2 and x2,
y2 = 8 and x2 = -5
Plug the values in:
Simplified:
Or 3
So the gradient (or slope) is 3
Now, using the following equation of a line formula:
y - y1 = m(x - x1)
Where m is the gradient and y1 and x1 are two coordinates, we can plug these values in:
y1 = 2
x1 = -3
m = 3
y - 2 = 3(x - - 3)
The negative and the subtract makes it a positive:
y - 2 = 3(x + 3)
Now we can multiply the bracket out:
3 * x = 3x
3 * 3 = 9
So:
y - 2 = 3x + 9
The equation is usually in the form:
y = mx + c
So we need to move the -2 over to the other side making it a positive 2:
y = 3x + 9 + 2
y = 3x + 11
Which is the equation of the line.
The one option that this rearranges to is a) because if you move the y over to the 3x, and the + 11 over to the other side, making them both negatives, the result is:
3x - y = -11
So your answer is a.
<h2>Hope this helps!</h2>