Answer:
The value that will create an equation with no solutions is 5x.
Step-by-step explanation:
No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable.
To create a no solution equation, we can need to create a mathematical statement that is always false. To do this, we need the variables on both sides of the equation to cancel each other out and have the remaining values to not be equal.
Use distributive property on the left side first.
![3(x - 4) = [blank] - 2x +7\\\\3x-12=5x - 2x +7\\\\3x-12=3x+7\\\\3x-12+12=3x+7+12\\\\3x=3x+19\\\\3x-3x=3x+19-3x\\\\0=19](https://tex.z-dn.net/?f=3%28x%20-%204%29%20%3D%20%5Bblank%5D%20-%202x%20%2B7%5C%5C%5C%5C3x-12%3D5x%20-%202x%20%2B7%5C%5C%5C%5C3x-12%3D3x%2B7%5C%5C%5C%5C3x-12%2B12%3D3x%2B7%2B12%5C%5C%5C%5C3x%3D3x%2B19%5C%5C%5C%5C3x-3x%3D3x%2B19-3x%5C%5C%5C%5C0%3D19)
Notice that we combined like terms first and then eliminated the variable from one side. When that happened, the variable on the other side was eliminated as well, giving us a false result.
Since zero does not equal nineteen, we know we have an equation with no solution.
Answer:

Step-by-step explanation:
The given equation is

We take logarithm of both sides to base 10.


We expand the brackets to get;

Group similar terms;




To the nearest hundredth.

Answer:

Here,
denotes the required number.
Step-by-step explanation:
Let
denotes the required number that satisfies the following condition.
''seven times a number is less than or equal to a quantity that is 24 less than that same number''
Seven times a number is equal to 
Quantity that is 24 less than that same number is equal to 
Now find the inequality.
As seven times a number is less than or equal to a quantity that is 24 less than that same number,

Hope this helps you, and good luck in the future :)
Answer:
18/100 or 9/50
Step-by-step explanation:
First, put 0.18 over 100 because there are 2 digits in the decimal, so you convert it to 18/100. Then, simplify it, and because the GCF is 2, divide the numerator and denominator. The final fraction ins 9/50.