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
MariettaO [177]
3 years ago
10

Solve each equation for the missing variable. If your answer is not an integer, write it as an improper fraction.

Mathematics
2 answers:
Andre45 [30]3 years ago
8 0
To start the problem, you will want to move the numbers with variables and the ones without to the other side, then combine them together so that there is only one thing on each side. Then divide on both sides by the variable's coefficient and you will get your answer. Here is it done for the 1st problem.
5n - 14 = 8n + 4 \\ 5n - 14 - 5n = 8n + 4 - 5n \\  - 14 = 3n + 4 \\  - 14 - 4 = 3n + 4 - 4 \\  - 18 = 3n \\  \frac{3}{3} n =   \frac{ - 18}{6}  \\ n =  - 6
For the second one you will want to start by simplifying everything on both sides since you can combine the constants (numbers without any variables). It should look like this:
- 15 + 4 - 5a =  - 2 + 26 + 30a \\  - 11 - 5a = 24 + 30a
What you can do from here is push constants to one side and variables to the other like before. Here is how it would look:
- 11 - 5a = 24 + 30a \\  - 11 - 5a - 24 = 24 - 24 + 30a \\  - 35 - 5a = 30a \\  - 35 - 5a + 5a = 30a + 5a \\  - 35 = 35a
Once there is only one thing on both side, you can divide both sides by the coefficient (the number attached to a variable) to get the variable alone.
35a =  - 35 \\  \frac{35}{35} a =  \frac{ - 35}{35}  \\ a =  - 1
Thus, a is equal to -1.

For the third problem, it is more of the same type of problem that we have done before. Since there are no multiples of anything (variables or constants) on each side, we can start pushing variables to one side and constants to the others like so:
- 8x + 25 = 3 - 9x \\   - 8x + 9x  + 25 = 3 - 9x + 9x \\ x + 25 = 3 \\ x + 25 - 25 = 3  - 25 \\ x =  - 22
Since x's coefficient is 1, there is no need to divide and your answer is -22.
FromTheMoon [43]3 years ago
4 0

First example:

Subtract the 8n on both sides to get the variable on one side of the equation. Do the same for the regular numbers. Then divide by -3.

5n-14=8n+4\\ \\ 5n-8n=4+14 \\ \\ -3n=18\\ \\ n=-6

This should be your final answer.

Second Example:

Do the same thing as explained in Example 1. Here's some work to help guide you.

-15 - 5a + 4 = -2 + 30a + 26\\ \\ -5a-30a=-2+26+15\\ \\ -35a=39\\ \\ a = \frac{39}{-35}

That should be your final answer here.

Third Example:

3 - 9x = -8x + 25\\ \\ -9x+8x=25-3\\ \\ -x=22\\ \\ x=-22

Hope this helps and its understandable! Let me know if you still don't understand.

You might be interested in
I'm really bad at these questions
Diano4ka-milaya [45]

Answer:

30 centimeters^2

Step-by-step explanation:

The area of a triangle can be found using the following formula.

A= (b*h)/2

In this triangle, the base is 12 cm. The height is 5 cm, since it forms a right angle with the base.

b= 12 cm

h= 5 cm

A= (12 cm * 5 cm) / 2

Solve inside the parentheses first. Multiply 12 cm and 5 cm.

A= (60 cm^2) / 2

Divide 60 cm^2 by 2

A= 30 cm ^2

The area of the triangle is 30 square centimeters.

6 0
2 years ago
Read 2 more answers
For a triangle to be classified as equilateral, what must all three angles measure? Do not include the degree symbol in your
OleMash [197]

Answer:

I think the answer is 60.

8 0
2 years ago
Pls help!! I need the answer immediately
Strike441 [17]

Answer:

i). x³ + 9x² + yz - 15

ii). -21m³np - 8p⁵q + mnp + 4mn + 100

Step-by-step explanation:

Question (38)

i). Two expressions are -5x² - 4yz + 15 and x³+ 4x²- 3yz

  By subtracting expression (1) from expression (2) we can the expression by addition which we can get expression (1).

 (x³+ 4x²- 3yz) - (-5x² - 4yz + 15) = x³ + 4x² - 3yz + 5x² + 4yz - 15

                                                    = x³ + 9x² + yz - 15

ii). -15m³np + 2p⁵q - 6m³pn + mnp + 4mn - 10qp⁵+ 100

  = (-15m³np - 6m³np) + (2p⁵q - 10qp⁵) + mnp + 4mn + 100

  = -21m³np - 8p⁵q + mnp + 4mn + 100

4 0
3 years ago
What multiplys to -90 and adds to 9?
vagabundo [1.1K]
The answer would be 3
3 0
3 years ago
Fine the slope of the line perpendicular to the line graphed below
goldenfox [79]

Answer:

-\frac{1}{2}

Step-by-step explanation:

The slope of this line is 2 because the rise from one point is 2, and the run is 1. The change in y-value is divided by the change in the x-value which is 2/1, hence, the slope of the line being 2.

The slope of the line perpendicular to the one shown below will be -\frac{1}{2} because the slope that will result in a perpendicular line is the negative reciprocal of the original slope.

6 0
3 years ago
Other questions:
  • Jim wants a game that cost $35.95. There is a 20% sale going on in the store, how much will he pay for the game?
    8·1 answer
  • What type of transformation maps AQRS to AQ'R'S'?
    9·1 answer
  • Help,??????????????????
    12·1 answer
  • Angles that measure 135 degrees and 45 degrees are complementary,<br> True or false?
    13·2 answers
  • What is the value of the expression i0•i1•i2•i3•i4
    5·2 answers
  • Use the power-reducing formulas as many times as possible to rewrite the expression in terms of the first power of the cosine. 2
    5·1 answer
  • HEY CAN ANYONE PLS ANSWER MY MATH QUESTION!!!!1
    15·2 answers
  • Two computer technicians, Sue and Kiana, each counted the number of computers that she had repaired every day for 2 weeks. Their
    8·2 answers
  • Select the correct comparison.
    8·2 answers
  • Thnx for the last one❤️❤️
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!