Answer:
the ratio is the same
Step-by-step explanation:
Girls
12 out of 30
12/30
Divide top and bottom by 6
2/5
Boys
16 out of 40
16/40
Divide top and bottom by 8
2/5
---- x ----
| | 0.25x
---- x ----
x + x + 0.25x + 0.25x = 35
2.5x = 35
x = 35/2.5
x = 14
width is 14
length is 1/4 this.
length = 7/2
Marked down by 35%
this decreased it by 115.65
thhat means that 115.65 is 35% of original
find original
35%=35/100=7/20
'of' means multiply
115.65=7/20 times original
multiply both sides by 20/7 to clear fraction (20/7 times 7/20=140/140=1)
2313/7=original
330.428=original
round
330.43
original price=$330.43
Zero on number lines is neither negative nor positive, it is used as a sort of divider number;)
Step-by-step explanation: this picture should help explain a little
Did somebody say you're supposed to draw the graph of the equation ?
Is that the assignment ?
OK. Just like every other equation you need to graph, get it in the
standard form, where 'y' is all alone on one side, and everything else
is on the other side. When you do that, you'll be able to spot the slope
and y-intercept of the line, or get some points, or whatever you want.
4y + 12 = 0
Subtract 12 from each side: 4y = -12
Divide each side by 4: y = -3
There's the equation you can handle.
The y-intercept is -3, and the slope is zero.
Would you like some points ? OK. Pick a couple of values for 'x',
and calculate the value of 'y' for each one:
The first value I picked for 'x': x = 72
The equation is y=-3, so when x=72, y=-3. The point is (72, -3)
The second value I picked for 'x' is: x = 1
The equation is y=-3, so when x=1, y=-3. The second point is (1, -3).
The third value I picked for 'x' is 4 billion.
The equation is y=-3, so when x=4 billion, y=-3. The third point is (1, -3).
Do you see what's going on here ? Your original equation didn't even
have 'x' in it, so we could tell right away that when the graph is drawn,
the value of 'y' at every point can't depend on 'x'.
When we simplified the equation and got it in standard form, we found that
the slope of the graph is zero. That means the graph doesn't rise or fall ...
it's just a horizontal line. Sure enough, the height of points on the line
doesn't depend on 'x'. The value of 'y' at every point on the line is -3 .
