Required inequality is 1.5x + 3 < 18 and solution is x < 10, that is number of months svetlana can allow her hair to grow must be less than 10 so that her hair length will be less that 18 cm
<u>Solution:</u>
Given that
Svetlana's hair is 3 cm long.
Her hair grows 1.5 cm per month
Need to write an inequality to determine the number of months Svetlana can allow her hair to grow.
Let assume number of months Svetlana can allow her hair to grow be represented by variable "x"
Length of hair grows in one month = 1.5 cm
So Length of hair grows in "x" months = 
As Svetlana wanted her hair to be less than 18 cm long
So Length of hair grows in "x" months plus current length of hair must be less than 18 cm
=> 1.5x + 3 < 18
On solving the above inequality for "x" we get ,
1.5x < 18 – 3
=> 1.5x < 15
=> 
=> x < 10
Thus required inequality is 1.5x + 3 < 18
Number of months sultana can allow her hair to grow must be less than 10 so that her hair length will be less that 18 cm.
913,610 it is the same number because 0 is less than 5 so you don't have to round the tens place up by one
Answer:
x-2x=5+3-3
-x=5
x=-5
Step-by-step explanation:
That's the answer
<h3>
Answer: 2.2 units</h3>
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Explanation:
I'll define these point labels
- B = Blake's starting position
- F = finish line
- C = the third unmarked point of the triangle
The locations of the points are
- B = (-8,1)
- C = (-6,-3)
- F = (4,-2)
Use the distance formula to find the distance from B to C
Segment BC is roughly 4.47214 units long.
Following similar steps, you should find that segment CF is approximately 10.04988 units long.
If Blake doesn't take the shortcut, then he travels approximately BC+CF = 4.47214+10.04988 = 14.52202 units. This is the path from B to C to F in that order.
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Use the distance formula again to find the distance from B to F. This distance is about 12.36932 units. He travels this amount if he takes the shortcut.
Subtract this and the previous result we got
14.52202 - 12.36932 = 2.1527
That rounds to 2.2
This is the amount of distance he doesn't have to travel when he takes the shortcut.
In other words, the track is roughly 2.2 units shorter when taking the shortcut.
Side note: Replace "units" with whatever units you're working with (eg: feet or meters).
You can start by multiplying the first equation by twelve, by doing this you get whole numbers. This yields:
4x + 3y =12
2x - 3y = -30
As you can see, you have two terms that only differ in sign.
By adding both equations together you get this:
6x=-18 or x=-3
The reason why you can add these equations together is illustrated in the next example:
4=x
5=y
4+5=x+y
Simple no?
Now that you now x you can substitute the value in one of the equations and you get the y value:
4*-3 + 3y =12
-12 + 3y =12
3y= 24
y=8
