Answer: A) Yes, it is a solution.
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Explanation:
Replace every x with -3 and simplify both sides.
3x - 2 < 2 - 2x
3(-3) - 2 < 2 - 2(-3)
-9 - 2 < 2 + 6
-11 < 8
Since -11 is to the left of 8 on the number line, this means the inequality -11 < 8 is true. Consequently, it means the first inequality is true when x = -3.
Therefore, x = -3 is a solution.
1) 2x+3 = 5
-3 -3
2x =2
x=1
2) -x + 8 = 5
-8 -8
-x = -3
X=3
Answer:
There are 84 total boats.
Step-by-step explanation:
In order to find this, we first need to find the fraction which are red. We can do this by multiplying the whole by how many are not white.
1 * 1/4 = 1/4
Now we take that amount and multiply it by the amount that are not blue of the remaining.
1/4 * 3/7 = 3/28
Now that we have this, and we know this is 9 boats, we can divide 9 by this fraction and it will give us the total number of boats.
9 ÷ 3/28 = 84
The distance between starting and ending point is 34 miles.
Step-by-step explanation:
Given,
Car moves 16 miles to north then 30 mile to east.
It forms a right angle triangle.
The straight line distance from starting to ending point represents hypotenuse.
To find the distance between starting and ending point.
Formula
By <em>Pythagoras theorem,</em>
h² = b²+l² where h is the hypotenuse, b is base and l is the another side.
Taking, b=16 and l=30 we get,
h² = 16²+30²
or, h = 
or, h = 
= 34
Hence,
The distance between starting and ending point is 34 miles.
