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
Irina18 [472]
3 years ago
6

1 5/6 −(x− 7/12 )+2 1/12 =0.9

Mathematics
1 answer:
iren [92.7K]3 years ago
5 0
The answer is x=3.6 or 3 3/5.

First we convert the decimal answer to a fraction; 0.9 is read as "nine tenths," so the corresponding fraction is 9/10:

1 5/6 - (x - 7/12) + 2 1/12 = 9/10

Now we find a common denominator.  The first thing that 6, 12 and 10 will all divide into is 60:

1 50/60 - (x - 35/60) + 2 5/60 = 54/60

Distributing the negative, we have:
1 50/60 - x + 35/60 + 2 5/60 = 54/60

Combining like terms, we have:
-x + 4 30/60 = 54/60

Subtracting 4 30/60 from each side, we have:
-x + 4 30/60 - 4 30/60 = 54/60 - 4 30/60
-x = -3 36/60

Divide both sides by -1:
-x/-1 = (-3 36/60)/-1
x = 3 36/60 = 3 3/5 = 3.6
You might be interested in
Solve the two step equations
disa [49]

Hello!

1) -3x - 4 = 23

-3x = 23 + 4

-3x = 27

x = 27 : (-3)

x = -9

2) x/2 - 12 = -4

x - 24 = -8

x = -8 + 24

x = 16

3) 6a + (-1) = 10

6a - 1 = 10

6a = 10 + 1

6a = 11

a = 11 : 6

a = 11/6

4) -(x + 2) = 12

x + 2 = -12

x = -12 - 2

x = -14

5) 7a + 12 = 10

7a = 10 - 12

7a = -2

a = -2 : 7

a = -2/7

6) -4(a + 2) = 12

a + 2 = -3

a = -3 - 2

a = -5

Good luck! :)

7 0
3 years ago
The ratio of dogs to cats at an animal shelter is 7 to 5. how many cats are at the shelter if there are 42 more dogs than cats,
Zanzabum
105 cats are in the shelter as 1 = 21 x 5
7 0
3 years ago
Someone please help me ✨
DedPeter [7]

Okay, so keeping mind that the equation for area is A = L x W, look at the measurements you already have. 5.5 x 10^5 is the length, and 4.2 x 10^4 is the width. Switch them into full form and use a calculator to multiply the two for the area in meters.

550000 x 42000 = 23100000000, which in scientific form is 2.31 × 10^10. So that's answer one.

For the second, in kilometers, just take the full measurement you already have, 23100000000 m, transfer it into kilometers, 23100000 km, and then find its scientific notation, 2.31 × 10^7. That's answer two.

To answer the last question for which is more suitable, just consider what number you'd prefer to look at: a bigger number or a smaller one. Since the kilometer measurement number is smaller, its correct.

Summarily, the answers are 2.31 × 10^10, 2.31 × 10^7, and square kilometers, in that order.

6 0
2 years ago
Use the distributive property to express 30 + 75
OleMash [197]
Click on  the box for more details on how to <span>distributive property to express 30 + 75.</span>

8 0
3 years ago
Read 2 more answers
Write the solution of the given system of equations
Citrus2011 [14]

Answer:

Step-by-step explanation:

The solution to this system of equation is (4, 10)

3 0
2 years ago
Other questions:
  • Does 3 to the 2 power plus 3 to the 3 power equal 3 to the 5 power? <br><br> Please Explain!
    10·1 answer
  • Find the sum of the geometric series.
    13·1 answer
  • Add (7x2 – 3x) + (5x-6).<br> A. 7x2 + 2x-6<br> B. 4x² - x<br> c. 7x2 - 2x- 6<br> D. 7x2 + 8x- 6
    8·1 answer
  • W is a normally distributed random variable with mean 22 and variance 25. The probability that W is less than 9.7 equals:
    13·1 answer
  • What is 5 divided by 535?
    9·1 answer
  • Line AB is rotated to form ​ A'B'¯¯¯¯¯¯¯ ​.
    7·2 answers
  • Please help me with this surds question. Explain how you got your answer.
    8·1 answer
  • Help I need to know how to do it step by step asap ​
    9·1 answer
  • There are 40 pupils in a class. 75% of them are present. How may are present? How many are absent?
    11·1 answer
  • &lt;~~• ¥ Pls HELP me!! ¥ • ~~&gt;
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!