The equation of the line y = 5x + 1. Line that is parallel to the function given should have the same slope as the equation which is 5. We use the point-slope form in order to find the second equation that contains the point (4,5).
y - 5 = 5(x-4)
y = 5x - 20 + 5
y = 5x -15
Therefore, the correct answer is the first option.
Total amount of funds is $44.26 million.
Step-by-step explanation:
Given,
Donation received = $23.9 million
As it represents 54% of charity.
Let,
Total amount = x
Therefore,
54% of x = 23.9 million
Dividing both sides by 0.54
Total amount of funds is $44.26 million.
Keywords: percentage, division
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He wanted the mathematical challenge
Fraction = 4/7
Step by step Explanation
Let the denominator be x.
Numerator = 3 less than denominator
denominator = x
Numerator = (x – 3)
Now, Adding 5 to denominator
adding 2 to numerator.
Numerator = (x – 3 + 2)
Denominator = (x + 5)
(x – 3 + 2)/(x + 5)
According to the question
(x – 3 + 2)/(x + 5) = 1/2
(x – 1)/(x + 5) = 1/2
2(x – 1) = 1(x + 5)
2x – 2 = x + 5
2x – x = 5 + 2
x = 7
So,
=> Denominator x = 7
=> Numerator (x – 3) => (7 – 3) = 4
= > Fraction = 4/7
