PLEASE HELP which number line represents the solution to |x-5|< 3 ?

10x-5 9x+2 is my equation and I don’t know how to solve it I really need help,someone please help me solve it.

Ostrovityanka [42]

9514 1404 393

Answer:

x = 7

Step-by-step explanation:

You solve a linear equation by putting the variable on one side of the equal sign and a constant on the other side. Here, variables and constants are on both sides of the equal sign, so you need to separate them.

The basic idea is that you add the opposite of any term you don't want. Whenever you perform any operation (like "add"), you must do it to both sides of the equation.

We observe that x-terms have coefficients of 10 and 9. We choose to add the opposite of 9x to both sides:

10 -9x -5 = 9x -9x +2

x -5 = 2 . . . . simplify

Now, we still have -5 on the left, where we don't want it. So, we add its opposite (+5) to both sides:

x -5 +5 = 2 +5

x = 7 . . . . simplify

The solution is x = 7.

_____

Additional comment

If we were to end up with an x-coefficient other than 1, we would divide both sides of the equation by that coefficient. This will leave the x-term with a coefficient of 1.

8 0

2 years ago

Thomas buys 6 souvenirs for his friends and family. Each gift takes up 1/15 of his suitcase. If he has two suitcases, how much r

Gala2k [10]

Answer:

Thomas still has 1 3/5 suitcases available for his own belongings.

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Number of souvenirs bought by Thomas = 6

Space that each souvenir takes of Thomas suitcase = 1/15

Number of Thomas suitcases = 2

2. How much room is left for his own belongings in his suitcases?

Let's find out how much space the souvenirs take:

Number of souvenirs * Space that each souvenir takes

6 * 1/15 = 6/15 = 2/5 (Dividing by 3 the numerator and the denominator)

The souvenirs take 2/5 of one suitcase.

Now, we can calculate the room that is left for Thomas' belongings.

2 Suitcases - 2/5 for the souvenirs

2 - 2/5 = 10/5 - 2/5 = 8/5 = 1 3/5

Thomas still has 1 3/5 suitcases available for his own belongings.

6 0

3 years ago

Determine if the function is an even function, an odd function or neither. y=-5x^2-2x+6

Arlecino [84]

Answer:

Neither even nor odd

Step-by-step explanation:

The graph of y = -5x^2 - 2x + 6 is that of a parabola that opens down. This function is neither even nor odd because a point chosen at random is neither reflected in the y-axis nor reflected in the origin.

7 0

3 years ago

Claire Reagan and Anthony deliver newspapers in the neighborhoods clear deliver 79 papers a day Reagan delivers 2490 papers a mo

Nata [24]

Answer:

90,747

Step-by-step explanation:

Clair delivery=79 per day

Total delivery per year=79×365 days

=28,835

Reagan delivery=2490 per month

Total delivery per year=2490×12 months