Answer:
Let 3x be the number of boys
Let 2x be the number of girls
3x + 2x = 24
5x = 24
x = 4.8
3(4.8) = 14.4 boys
2(4.8) = 9.6 girls
There can't be 24 students for a ratio of 3 boys and 2 girls, because there can't be 14.4 boys and 9.6 girls, it has to be an exact number, otherwise it wouldn't make any sense.
For example, you and I are both 1 person, we can't be half a person or 0.6 of a person, only 1.
Given:
Seven times the smaller of two consecutive even integers is the same as -300 minus 4 times the larger integer.
To find:
The integers
.
Solution:
Let the smaller even integer be x.
So, larger even integer is x+2 because they are consecutive even integers.
Seven times the smaller integer = 7x
-300 minus 4 times the larger integer = -300-4(x+2)
Now,




Divide both sides by 11.


So, the smaller even integer is -28.

So, the larger even integer is -26.
<u>Answer:</u>
The slope of a line perpendicular to the line whose equation is 4x+6y=108 is 
<u>Solution:</u>
Given, line equation is 4x + 6y = 108.
We have to find the slope of the line which is perpendicular to the given line equation.
We know that, <u><em>product of slopes of perpendicular lines equals to – 1</em></u>
So, now, let us find the slope of the given line equation.

Now,
slope of given line
slope of its perpendicular line = -1


Hence, the slope of the perpendicular line is
We can just substitute y = 4x+1 in the second equation.

We know the value of x, substitute x in any equations to get the y-value.

The value of y is 3 and the value of x is 0.5 aka 1/2
Since you want the solution as a point then It's below here.
In order from least to greatest it is: 3/8, 2/3, 3/4. To find this on your own get common denominators and compare. Hope this helps.