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
dlinn [17]
3 years ago
11

Elementary Algebra Skill

Mathematics
1 answer:
mr_godi [17]3 years ago
4 0

The answer is a = \frac{4}{-3}

Step-by-step explanation:

<em>1. Convert the mixed fraction to an improper fraction</em>

To find the numerator, multiply the denominator by the whole number and add the numerator to it.

The denominator remains the same.

So, 2\frac{2}{3} will be \frac{8}{3}

<em>2. Now the equation is,</em>

\frac{3}{2} a - \frac{4}{3} a = \frac{10}{3} + \frac{8}{3} a

<em>3. Take LCM on both sides. </em>

For the left side, multiply the first fraction by \frac{3}{3} and multiply the second fraction by \frac{2}{2}

\frac{3*3}{2*3} a - \frac{4*3}{3*3} a = \frac{10+8a}{3}

<em>4. Solve by making a the subject</em>

\frac{9a-8a}{6} = \frac{10+8a}{3}

\frac{a}{6} = \frac{10+8a}{3}

\frac{3a}{6} =10+8a

\frac{a}{2} = 10 + 8a

a = 2(10 + 8a)

a = 20 + 16a

a-16a = 20

-15a = 20

a = \frac{20}{-15}

a = \frac{4}{-3}

Therefore, the answer is a = \frac{4}{-3}

Keyword: Equations

Learn more about equations at

  • brainly.com/question/10666510
  • brainly.com/question/4460262
  • brainly.com/question/8955867

#LearnwithBrainly

You might be interested in
I need help please ?!!!
andrew11 [14]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
500 in the ratio 2:3
irina1246 [14]
500 in 2:3 is saying that there are five different parts (2 + 3)
This means that 500 needs to be split into five, which is 100.
After that all you need to do is put 2 'sections' on one side and 3 on the other.

For example, 2 : 3 = 2( x 100) : 3( x 100)
                                = 200 : 300
8 0
3 years ago
Read 2 more answers
9. Triangle Construction pays Square Insurance $5,980
xxTIMURxx [149]

The triangle pay $32 more for that day than it paid per day during the first period of time.

Step-by-step explanation:

The given is,

              Triangle Construction pays Square Insurance $5,980

               To insure a construction site for 92 days

               To extend the  insurance beyond the 92 days costs $97 per day

               Triangle extends the insurance by 1 day

Step:1

              Insurance per day from the 92 days period,

                                                                           = \frac{Total insuratio for 92 days}{Period}

               Where, Total insurance for 92 days = $ 5,980

                                                               Period = 92 days

               From the values, equation becomes,

                                                                            =\frac{5980}{92}

                                                                           = $ 65 per day

Step:2

              Insurance per day after the 92 days,

                                                                           = $ 97

               Amount Pay for that day than it paid per day during the first period of time,

                                                                            =(97-65)

                                                                           = $32

Result:

             The triangle pay $32 more for that day than it paid per day during the first period of time, if  the Triangle Construction pays Square Insurance $5,980 to insure a construction site for 92 days and to extend the  insurance beyond the 92 days costs $97 per day.

                                                                         

8 0
3 years ago
If f(x) = 4x + 12 is graphed on a coordinate plane, what is the y-intercept of the graph
Lelechka [254]
The answer is 12 because the linear equation is mx+b,where m is the slope and b is the y-intercept.
7 0
3 years ago
Pls help me with this
jok3333 [9.3K]
Answer would be: B.) 3/8 cup 
4 0
3 years ago
Other questions:
  • Write 27 : 28 as a ration in its simplest form
    14·2 answers
  • Find all the missing sides or angles in each right triangles
    11·1 answer
  • In the following set, which measure of central tendency would probably be the most accurate representation of the data?
    8·2 answers
  • Please help. Will give brainliest
    7·1 answer
  • Carol is y years old and her daughter is 25 years younger.find carols present age if sum of ages in 6 years time is 75
    15·2 answers
  • It costs $100 to join a fitness center plus a monthly fee you spent $700 last year at the fitness center how much was the monthl
    10·2 answers
  • The Vikings basketball team scored the points shown below in their last 7 games.
    14·2 answers
  • Please help will give brainliest
    14·2 answers
  • 2. through: (8,5), perpendicular to y=-1/2x +4
    13·1 answer
  • What is the equation of the line that passes through the point (4,0) and has a slope<br> of -2
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!