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
lions [1.4K]
3 years ago
10

What is the value of x in the equation ? (image below)

Mathematics
2 answers:
djyliett [7]3 years ago
8 0

Answer:

x = 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

2.5(6x - 4) = 10 + 4(1.5 + 0.5x)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                   15x - 10 = 10 + 6 + 2x
  2. Combine like terms:                   15x - 10 = 16 + 2x
  3. Subtract 2x on both sides:        13x - 10 = 16
  4. Add 10 to both sides:                 13x = 26
  5. Divide both sides by 13:             x = 2

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    2.5(6(2) - 4) = 10 + 4(1.5 + 0.5(2))
  2. Multiply:                               2.5(12 - 4) = 10 + 4(1.5 + 1)
  3. Subtract/Add:                      2.5(8) = 10 + 4(2.5)
  4. Multiply:                               20 = 10 + 10
  5. Add:                                     20 = 20

Here we see that 20 does indeed equal 20.

∴ x = 2 is a solution of the equation.

aev [14]3 years ago
6 0

Answer: 2

Step-by-step explanation:

2.5(6x-4)=10+4(1.5+0.5x) [Work out the brackets]

15x-10=0+6+2x [Solve]

15x-10=16+2x [Convey the terms]

15x-2x=16+10 [Add up the same terms and calculate]

13x=26 [Divide both parts]

x=2

You might be interested in
A survey about phone service has a margin of error of 5%. Out of 150 people surveyed, 103 said that they were pleased with their
lapo4ka [179]

Answer:

The range of the number of people that are satisfied is option A. 46,968 to 51,912 customers.

Step-by-step explanation:

Hi, to solve this problem you need to calculate the total number of customers that are pleased with the service, based on the 150 people sample.

so:

(72,000 x 103 )÷150 = 49,440

The next step is to calculate the 5% margin of error of that result.

49,440 x 0.05= 2,472

Finally, to obtain the range you need to add and subtract the margin to the total number of customers that are pleased with the service.

49,440-2,472= 46,968

49,440 + 2,472=51,912

So, the range of the number of people that are satisfied is option A. 46,968 to 51,912 customers.

8 0
3 years ago
What’s the range of the function on the graph?
sertanlavr [38]
D All real numbers Equal or greater that 2
6 0
3 years ago
Please help, the homework is due in a few hours​
givi [52]

Answer:

the aswer is 2

Step-by-step explanation:

this is because 10/5=2

4 0
3 years ago
Find the range.<br><br> 4, 7, 5, 5 ,4, 5, 5, 7, 3
ioda
This is quite easy, but anyway:

In order, they are

3, 4, 4, 5, 5, 5, 5, 7, 7

7 - 3 = 4

4 would be the range
3 0
3 years ago
Read 2 more answers
What makes this equation true?<br><br> -2n + 1.8 = 3.2<br><br> Im so confused
fenix001 [56]

Answer:

18 = 3.2

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • The diameter of a circle Garden is 16 feet what is the approximate area of the garden
    7·1 answer
  • Please explain how to do this one as well ...
    7·1 answer
  • An electronics store sold 4% of computers that were on sale if only 12 computers were sold how many computers were not sold
    11·1 answer
  • Which one is a rule for the nth term of an arithmetic sequence with a8 = 56 and d = 5?
    15·1 answer
  • Billy rakes leaves and cuts grass. Let a represent how much he earns and h represent the
    6·2 answers
  • Solve this equation for x. Round your answer<br> to the nearest hundredth.<br> 0.98 = log x
    11·1 answer
  • What is the slope of a line containing points (2,-1) (3,5)
    11·1 answer
  • 20 points need help asap
    14·1 answer
  • yall this is my final test if i ace it i get an A in my whole math grade fail and i restart the grade HELP
    5·1 answer
  • Bobby can run 2/8 mile in 2 1/4 minutes. If he maintains that pace, how long will it take him to run 1 mile?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!