Tyler wants to buy a new television that costs $312.

Answer:

The total cost of the motorcycle is $4187 .

Step-by-step explanation:

As given

Glenn Andrews recently bought a motorcycle for $3,950 if he had to pay 6% sales tax on the bike .

6% is written in the decimal form.

= 0.06

Sales tax price = 0.06 × 3950

                        = $237

Total cost of the motorcycle = Motorcycle cost + Sales tax price

                                               = $ 3950 + $237

                                               = $ 4187

Therefore the total cost of the motorcycle is $4187 .

Answer:

d = 10 units

Step-by-step explanation:

calculate the distance d using the distance formula

d =

let (x₁, y₁ ) = (3, 0 ) and (x₂, y₂ ) = (9, - 8 )

substitute these values into the formula for d

d =

  =

  =

  =

  = 10 units

Answer:

It will take 8 years for Tiffany to become 3 times as old as Vanessa.

Step-by-step explanation:

We have been given that Tiffany is 34 years old Vanessa is 6 years old.

Let the time taken by until Tiffany is only 3 times as old as Vanessa be x

Hence, according to the information given in the question equation becomes:

Age of Tiffany after x years will be: 34 +x

Age of Vanessa after x years will be: 6+x

Since, we have to find when Tiffany is 3 times as old as Vanessa

Equation becomes:

34+x =3(6+x)

34+x=18+3x

2x=16

x=8

It will take 8 years for Tiffany to become 3 times as old as Vanessa.

Answer: Sure, I can help you with that!

Part A: To solve the inequality −6(x − 3) > 42, we first need to distribute the -6 to the expression inside the parentheses:

-6(x - 3) > 42 -6x + 18 > 42

Next, we’ll subtract 18 from both sides:

-6x > 24

Finally, we’ll divide both sides by -6. Since we’re dividing by a negative number, we need to flip the inequality sign:

x < -4

Therefore, the solution to the inequality is x < -4.

Part B: To graph the solution to this inequality on a number line, we’ll start by drawing an open circle at -4 (since x is not equal to -4). Then, we’ll draw an arrow pointing to the left of -4 to indicate that all values less than -4 are solutions to the inequality.

Part C: To find two values that would make the inequality true, we can choose any two values less than -4 and substitute them into the original inequality. For example, if we choose x = -5, then:

-6(-5 - 3) > 42 -6(-8) > 42 48 > 42

Since 48 is greater than 42, this confirms that x = -5 is a solution to the inequality. Similarly, if we choose x = -10, then:

-6(-10 - 3) > 42 -6(-13) > 42 78 > 42

Since 78 is also greater than 42, this confirms that x = -10 is also a solution to the inequality.

I hope this helps!