1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mkey [24]
3 years ago
9

What value of x makes the equation true 2 (6x-1) = -38

Mathematics
1 answer:
Anestetic [448]3 years ago
5 0

Answer:

<h3>\boxed{\bold{\boxed{ \sf{x =  - 3}}}}</h3>

Step-by-step explanation:

\sf{2(6x - 1) =  - 38}

Distribute 2 through the parentheses

⇒\sf{12x - 2 =  - 38}

Move constant to right hand side and change it's sign

⇒\sf{12x =  - 38 + 2}

Calculate

⇒\sf{12x =  - 36}

Divide both sides of the equation by 12

⇒\sf{ \frac{12x}{12}  =  \frac{ - 36}{12} }

Calculate

⇒\sf{x =  - 3}

Hope I helped!

Best regards!!

You might be interested in
The cost of a car rental is ​$25 per day plus 22 per mile. You are on a daily budget of ​$90. Write and solve an inequality to f
lara31 [8.8K]

Answer: You can drive, at most, 2.95 miles per day.

x ≤ 2.95

Step-by-step explanation:

In a single day, you can spend at most $90

Then if C represents the cost of renting the car, then we will have the inequality:

C ≤ $90

Now let's find the equation for C.

We know that we have a fixed cost of $25 plus $22 per mile, then if you drive x miles, the total cost will be $25 plus x times $22, or:

C = $25 + x*$22.

We can now replace that in the inequality:

$25 + x*$22 ≤ $90

Now let's isolate the variable x

x*$22 ≤ $90 - $25

x*$22 ≤ $65

x ≤ $65/$22 = 2.95

x ≤ 2.95

You can drive at most, 2.95 miles per day.

To find other inequalities with the same solution we can start with the solution:

x ≤ 2.95

Now let's multiply both sides by a number (the units of the number can be dollars, in that way we can make a similar problem)

Let's multiply both sides by $10:

x*$10 ≤ 2.95*$10 = $29.5

x*$10 ≤ $29.5

Now let's add the same number in both sides, for example, $5.

x*$10 + $5 ≤ $29.5 + $5 = $34.5

x*$10 + $5 ≤ $34.5

We could write this problem as:

"To rent a cab in your city, you have an initial cost of $5, plus $10 for each mile driven. How many miles could you drive if at most you can spend $34.50?"

You could be more creative with the problem, but this is the way in which you can craft problems of this type when you already know the solution.

5 0
2 years ago
The Oliver Company plans to market a new product. Based on its market studies, Oliver estimates that it can sell up to 5,500 uni
Ghella [55]
<span>For the Oliver Company to break even, the total revenue must equal the sum of the variable costs and the fixed cost. Mathematically, this can be represented as: Total revenue = 0.4*(Total revenue) + (Fixed Costs) Let the number of units sold be x. then, 7*x = 0.4*(7*x) + 6300 Thus, x = 6300/(0.6*7) = 1500 units. Thus the company will have to sell 1500 units to break even.</span>
8 0
2 years ago
Thrice the difference between x and 4 is less than9 what's the inequality
3241004551 [841]
(x-4)•2 < 9
the difference between x and 4 means to subtract
and twice that means to double or times by 2
and all that’s LESS than 9
so the sign opens up towards the 9
4 0
3 years ago
Stephanie has a recipe that calls for 2/3 tablespoon of vanilla to make 3 1/2 dozen cookies. How many tablespoon of vanilla are
Ierofanga [76]

Answer:

5.25 tablespoons are needed per dozen

Step-by-step explanation:

8 0
2 years ago
10. (04.01)
never [62]

Answer:

A] A function is a special type of relation for which there is a rule that pairs each input with exactly one output.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • Who can help me out
    6·2 answers
  • Sasha ran x feet in y minutes, what was her average rate per minute?
    9·1 answer
  • How do I calculate the perimeter of ABCD?
    15·1 answer
  • I need help with my ADD and subtraction fraction ​
    13·1 answer
  • Winning the jackpot in a particular lottery requires that you select the correct five numbers between 1 and 25 and, in a separat
    14·2 answers
  • HHHHHHEEEEELLLPPP PLLLLZZZ T^T
    5·2 answers
  • PLS HELP!!!: A meter is about the distance from one hand to the other when your arms are stretched out if 5 friends stood with t
    7·2 answers
  • What is -5 + 12 - 4​
    13·2 answers
  • Calculate the size of angle V on the square named FTLP.<br> 18 cm<br> F<br> T<br> c<br> 6<br> P
    5·1 answer
  • Find the perimeter of the kite​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!