Answer:
Step-by-step explanation:
x - 30 = 14 - 3x
4x = 44
x = 11
Let's call the unknown number x
Now let's decrease it by 30, that is x-30
Now let's write out "14 decreased by three times the number", that is 14 - 3x
The problem says these are the same, that is x - 30 = 14 - 3x
We now want to isolate, or solve for, x
Move the x to one side of the equation by adding 3x to both sides
3x + x -30 = 14 - 3x + 3x
4x -30 = 14
Now move the 30 to the right hand side by adding 30 to both sides
4x - 30 + 30 = 14 + 30
4x = 44
Now all we have to do to get x is divide both sides by 4
4x/4 = 44/4
x = 11
Answer:
The center is (-3,2) and the radius is r=2
Step-by-step explanation:
The general equation of the given circle is

Add the square of half the coefficient of the linear terms to both sides of the equation to obtain;



The quadratic trinomials in x and y on the left side of the equations are perfect squares.
We factor to obtain;


Comparing to:

The center is (-3,2) and the radius is r=2
Answer: No, she cannot
Step-by-step explanation:
this is because 194 divided by 6 = 32.333333333, which is an uneven number. hope this helps!
The number of ways to arrange the 5 writings in a row is 5! = 5 * 4 * 3 * 2 * 1 = 120 ways.
There is only 1 way to arrange the writings from oldest to newest.
Therefore, the probability is 1/120.
Yes it is because 4+4=8 and 8 is larger than 7