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
Rashid [163]
4 years ago
5

solve the equation for x. show each step of the solution. name the justification for each step of the solution 9/2 (8-x) +36=102

-5/2(3x+24)
Mathematics
1 answer:
Karo-lina-s [1.5K]4 years ago
3 0

1. You have the following equation:

\frac{9}{2}(8-x)+36=102-\frac{5}{2} (3x+24)

2. First, you must apply the Distributive property:

\frac{72}{2}-\frac{9x}{2}+36=102-\frac{15x}{2}-\frac{120}{2}

3. Simplify:

36}-\frac{9x}{2}+36=102-\frac{15x}{2}-60

3. Add the like terms:

-\frac{9x}{2}+\frac{15x}{2}=102-60-36-36\\ 3x=-30

4. Solve for x:

x=-\frac{30}{3} \\ x=-10

Therefore, the answer is: x=-10

You might be interested in
Given that (0,7) is on the graph of f(x), find the corresponding point for the function f(x + 2).
Ksju [112]
0 I think if youre saying 0(7+2)
4 0
3 years ago
The city council is planning a long, narrow park with a playground at one end and a fountain at the other. They want the playgro
FrozenT [24]

Answer:

b

Step-by-step explanation:

6 0
4 years ago
Y + 5x = 37<br> y = -x+13<br> Show your work<br> Substitution one equation
lukranit [14]

Answer:

x= 6

Step-by-step explanation:

In substitution, replace the y in the first equation with what y equals. In this case, y= -x+13.

-x+13 +5x= 37

4x+ 13= 37

4x= 24

x= 6

Explanation: First combination like terms, -x and 5. 5x-1x = 4x. Next, follow the opposite of PEMDAS. Adding and subtracting are last, so subtract the 13 on each side. All that's left is dividing the 4 on each side, and you're left with 6.

3 0
3 years ago
Ming would like to buy a plane ticket so she can visit her family this Thanksgiving, which is November 26. She has found that ti
hram777 [196]

Answer:

$165

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Ricardo ran the 400-meter race 3 times. His fastest time was 54.3 seconds. His slowest time was 56.1 seconds. If his average tim
never [62]
The third race would take him 54.6 seconds.

I hope this answer helped you! If you have any further questions or concerns, feel free to ask! :)
8 0
4 years ago
Other questions:
  • Which of the ordered pairs below satisfy the following equation?
    8·1 answer
  • the number of bacteria in a Petri dish is 524 and growing at a rate of 7% every month. how many bacteria will there be in 7 mont
    15·2 answers
  • Does anyone understand these questions? I need the answers for all the questions please.I need someone who is smart because I ne
    9·1 answer
  • a rectangle has a length that is nine feet less than four times its width. Its area is 90 ft. Algebraically determine the length
    8·1 answer
  • Solve for xxx. Write the smaller solution first, and the larger solution second. x^2 + 9x + 18 = 0x 2 +9x+18=0x, squared, plus,
    11·2 answers
  • What is (19-y)+5y=55
    5·1 answer
  • I need help with this.
    8·2 answers
  • Shawn has $12.00  The arcade has an admission fee of $3.00 and then charges $0.25 for each game.
    7·1 answer
  • The student council hires a dj to play music at the school dance. They pay DJ Dan for 3.5 h at his hourly rate plus a 125$ setup
    11·2 answers
  • When i looked it up it said subject b was the awnser but as you can see thats not true
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!