The correct answer is C. Absolute numbers should always yield a positive value. Other choices doesn’t do that. Measuring the distance on a number line ensures the positive value without changing the magnitude of the number given.
Answer: x = 2,340 homes without children
There are 2,340 homes without children.
Step-by-step explanation:
'x' represent the number of homes without children
'y' represent the number of homes with children
x : y = 9 : 7
Since the total number of homes is 4160 means x + y = 4160.
From x + y = 4160 follows y = 4160 - x.
Plug y = 4160 - x into x : y = 9 : 7
x : (4160 - x) = 9 : 7
The process here is finding out the smallest number's % towards the largest number.
Divide 20 by 52:
20/52 = 0.38 (estimated) | This is the % in decimal form, which is 38%.
Conclusion: 20 is 38% of 52.
{---Further Elaboration for Future Reference---}
Finding the Smallest Number:
What number is 25% of 60?
Multiply 60 by the decimal form of 25%.
60 * 0.25 = 15 | 15 is 25% of 60.
Finding the Percentage. (Like what we already did.)
30 is what percent of 150?
Divide 30 by 150.
30/150 = 0.2 | 30 is 20% of 150.
Finding the Largest Number.
12 is 30% of what number?
Divide 12 by the decimal form of 30%.
12/0.3 = 40 | 12 is 30% of 40.
I hope this helps, have a great rest of your day! ^ ^
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The equation of a line in the slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents y intercept
The equation of the given line is expressed as
3x - 6y = 30
Rearranging it so that it will look like the slope intercept form, it becomes
6y = 3x - 30
Dividing both sides by 6, it becomes
6y/6 = 3x/6 - 30/6
y = x/2 - 5
Looking at the equation, slope, m = 1/2
If two lines are parallel, it means that they have equal slope. This means that the slope of the line parallel to the given line is 1/2
To determine the y intercept, c of the line passing through the point (4, - 9), we would substitute
x = 4, y = - 9 and m = 1/2 into the slope intercept equation. It becomes
- 9 = 1/2 * 4 + c
- 9 = 2 + c
c = - 9 - 2
c = - 11
By substtuting m = 1/2 and c = - 11 into the slope intercept equation, the equation of the line would be
y = x/2 - 11
