Answer:
Step-by-step explanation:
To find the value of b, we need to isolate it on one side of the inequality. We can do this by subtracting 2x from both sides, which gives us b > -3 - 2x.
Since we want x to be greater than 3, we can plug in the value 3 for x on the right-hand side of the inequality. This gives us b > -3 - 6, or b > -9.
Therefore, the value of b that makes the inequality true is any value that is greater than -9. For example, b could be -8, -7, -6, or any other value that is greater than -9.
To check if our solution is correct, we can plug in the value of b and the value of x (3) into the original inequality to see if it is true. If we plug in -8 for b and 3 for x, we get the inequality 2x + b > -3, which simplifies to 2 * 3 + (-8) > -3, or 6 - 8 > -3, which is true. Therefore, our solution is correct.
Answer:

Step-by-step explanation:

Solve parenthesis first

Find a common denominator.
The common denominator would be 6.
Because the first expression already has a denominator of 6 it stays the same.


Put that into the original equation.

Isolate the x. Add
to each side.

Find a common denominator.
we can use 18 as the common denominator.

Add.

We cannot simplify so our answer stays the same.
Answer: 95
Step-by-step explanation:
That’s the same as 0.95 of 100. That’s because 0.95 represents 0.95 and 100 represents 100, the of is the same as x. You can switch the two numbers and you can still get the same answer. So, 0.95 of 100 is 95.
The first thing we are going to do is draw a diagram of the situation to help us to solve the situation.
We an draw tow similar triangle between the length of the shadows and the height of the stick and the pole.
Since <span>meter stick has a length of 1 meter, the height of our smaller triangle is 1 meter. Let </span>

be height of of the pole. Since both triangles are similiar we can establish a proportion between their corresponding sides and solve for

:



We can conclude that the pole is
4.04 meters tall.