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
kenny6666 [7]
2 years ago
15

Which value of x makes the open sentence true? 5x – 6 = x + 12

Mathematics
1 answer:
neonofarm [45]2 years ago
6 0
The way we approach a problem like this is by using a technique called "collecting like terms".
This means that we want to put all of the values with an "x" on one side and all of the normal numbers on the other. For this particular problem we can do this as follows:
5x - 6 = x + 12
Now move the (- 6) to the right side of the equation by adding 6 to both sides:
=> 5x = x + 12 + 6
Now move the (x) to the left side of the equation by subtracting (x) from both sides:
=> 5x - x = 12 + 6
Now perform the simple arithmetic on both sides:
=> 4x = 18
Now remove the 4 from in front of the (x) by multiplying the whole equation by (1/4)
=> x = 18/4
Therefore to make your open sentence true, x must equal 18/4, or to simplify, 9/2, or as a decimal, 4.5. I hope this helped, and remember to try and understand not just the answer, but the maths involved in getting to the answer too :))
You might be interested in
What mixed numbers are equivalent to −1. 5/6 ​ and ​ ​ −1. 7/9 ​ and use the LCD? Enter your answers in the box. if it helps the
Vlada [557]

Answer: -1.5/6 = -1/4; -1.7/9 = -17/90


Step-by-step explanation: Yeah, I'm not exactly sure what the problem is asking for, but this how I interpreted it. Use the LCD of the fractions -1.5/6 and -1.7/9 to find equivalent fractions with integer numerators and denominators.

For me, LCD doesn't help with solving the problem that much.

But anyways, the first fraction, -1.5, can be turned in an integer if you multiply the entire fraction by 2. So the result would be -3/12. You can simplify this to -1/4.

The second fraction, when multiplied by 10 yields -17/90. 17 is a prime number and is not a factor of 90, thus the equivalent fraction of -1.7/9 is 17/90.

Hope this helped.



8 0
2 years ago
Read 2 more answers
Trig help please!!! This is due tomorrow. If you don’t mind could you please explain how you do it
vivado [14]

Answer:

The larger acute angle is equal to 50.8 degrees.

Step-by-step explanation:

Let's solve for both of the acute angles for the purpose of checking our work at the end with angle A being the top angle and angle B being the one on the base of the triangle (that's not the 90 degrees one). Determining whether to use sin/cos/tan comes from SOH-CAH-TOA.

A = cos^-1 (2√6/2√15)

However, you need to move the radical out of the denominator by multiplying √15 to the numerator and denominator. You should come up with (2√90)/30. So,

A = cos^-1 (2√90/30) = 50.768 degrees.

B = sin^-1 (2√90/30) = 39.231 degrees.

Now, we can check the work by adding the 2 angles to 90 and, if it comes to 180, it's right.

cos^-1 (2√90/30) + sin^-1 (2√90/30) + 90 = 180.

If you have any questions on where I got a formula or any step, feel free to ask in the comments!

8 0
3 years ago
9. 107 is how many times as large as 3 . 103?
podryga [215]

Answer:

2.935

Step-by-step explanation:

To get the answers you simply divide 9.107 by 3.103

you get 2.934901708

that is approximately 2.935

8 0
3 years ago
Multiply (3x + 2)(4x ‐ 5)
Dmitry [639]
120x + 80

Have a nice day! Please give Brainliest! :3
8 0
2 years ago
Read 2 more answers
51) Eloise had to solve a system of inequalities that contained an exponential growth function and a linear function with positi
erik [133]

Answer:

Answer is A. (-1, 3)

Refer below.

Step-by-step explanation:

If the line and exponential function intersect only once then the line is tangent to the exponential at that point and therefore is always is below the exponential except at the point of intersection where there are equal.

8 0
3 years ago
Other questions:
  • A company wants to decrease their energy use by 10%. If their electric bill is currently $1,900 a month, what will their bill be
    12·1 answer
  • 20 POINTS: solve for x.
    10·1 answer
  • Julie is constructing a scale model of her room.The rectangular room is 10 1/4 inches by 8 inches.If 1 inch represents 2 feet of
    7·2 answers
  • Find the slope using the<br>two points (9, 3) and (15, -1)​
    6·1 answer
  • What is the equation of the line that passes through the point (-1, -2) and is parallel to the line with equation -3x+y=4
    14·1 answer
  • Find four consecutive integers such that 5 times the fourth diminished by twice the second is 7
    10·1 answer
  • The radius of the circle is 4 inches. Which of the following units represents the diameter of the circle?
    15·1 answer
  • 60 children were asked to chose their favourite vegetable from 5 options. Work out the number of children who chose each vegetab
    10·1 answer
  • Distributing property and combining like terms <br> -10(1-3x)-10
    12·1 answer
  • I needd help someone help me out please
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!