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
lidiya [134]
3 years ago
9

This equation has one solution. 5(x – 1) + 3x = 7(x + 1) What is the solution?

Mathematics
2 answers:
bogdanovich [222]3 years ago
5 0
Open up the brackets
5x - 5 + 3x = 7x + 7
Collect like terms
5x + 3x - 7x = 7 + 5
Simplify
8x -7x = 12
x = 12
Therefore, your answer is 12.
TEA [102]3 years ago
3 0

Answer:

x = 12

Step-by-step explanation:

Distribute the parenthesis on both sides of the equation

5x - 5 + 3x = 7x + 7

8x - 5 = 7x + 7 ( subtract 7x from both sides )

x - 5 = 7 ( add 5 to both sides )

x = 12


You might be interested in
Suppose an airline policy states that all baggage must be box shaped with a sum of​ length, width, and height not exceeding 114
NISA [10]

Answer:

Step-by-step explanation:

Represent the length of one side of the base be s and the height by h.  Then the volume of the box is V = s^2*h; this is to be maximized.

The constraints are as follows:  2s + h = 114 in.  Solving for h, we get 114 - 2s = h.

Substituting 114 - 2s for h in the volume formula, we obtain:

V = s^2*(114 - 2s), or V = 114s^2 - 2s^3, or V = 2*(s^2)(57 - s)

This is to be maximized.  To accomplish this, find the first derivative of this formula for V, set the result equal to 0 and solve for s:

dV

----- = 2[(s^2)(-1) + (57 - s)(2s)] = 0 = 2s^2(-1) + 114s - 2s^2

ds

Simplifying this, we get dV/ds = -4s^2 + 114s = 0.  Then either s = 28.5 or s = 0.

Then the area of the base is 28.5^2 in^2 and the height is 114 - 2(28.5) = 57 in

and the volume is V = s^2(h) = 46,298.25 in^3

7 0
3 years ago
Part A: Determine if the expression is one of our special products. If so, identify it by its general form:
kondaur [170]

Answer:

1.

Part A: Yes, it is (a - b)².

Part B: a² - 2ab + b² => (x - 6)² = x² - 12x + 36.

Part C: x² - 12x + 36.

2.

Part A: Not a special product.

Part B: Binomial distribution => (x + 8)(x + 1) = x² + 9x + 8.

Part C: x² + 9x + 8.

3.

Part A: Yes, it is (a + b)²

Part B: a² + 2ab + b² => (3x + 2)² = 9x² + 12x + 4.

Part C: 9x² + 12x + 4.

4.

Part A: Yes, it is (a + b)(a - b), a difference of squares.

Part B: a² - b² => 4x² - 49

Part C: 4x² - 49

5.

Part A: Not a special product.

Part B: Binomial distribution => (x - 5)(2x - 5) = 2x² - 15x + 25.

Part C: 2x² - 15x + 25

6 0
3 years ago
If a rectangular. Prism. Has 5cm. 10cm on one side and 4cm on the. Other. What is the volume of the rectangle?
emmasim [6.3K]

Answer: 200\ cm^3

Step-by-step explanation:

Given

The dimension of the rectangular prism is

l=5\ cm\\w=10\ cm\\h=4\ cm

The volume of the prism is given by V=l\times w\times h

\Rightarrow V=5\times 10\times 4\\\Rightarrow V=200\ cm^3

Therefore, the volume of the prism is 200\ cm^3.

7 0
2 years ago
Help. I need both. Please
Darya [45]
Anything to the power of 0 is 1

So for the top, 2^0 = 1
For the bottom, 10^0 = 1


It is not 0, because anything that ends with 0/0 is <em>undetermined</em>, and will not result in an answer

hope this helps
6 0
3 years ago
Determine if the ratio or rates are equivalent: 24 points scored in 4 games; 48 points scored in 10 games ASAP ANSWER IT I NEED
koban [17]

Answer:

Step-by-step explanation:

Yes: 24 points/4 games = 6 points per game while 48 points/10 games = 24 points in 5 games.

6 0
3 years ago
Read 2 more answers
Other questions:
  • 21 over 8 given in improper form
    12·1 answer
  • More math XD Oml :3 :3 :D XD I NEED 20 CHARACTERS
    15·1 answer
  • Help!!!! meeeeeeeeeeeee
    12·2 answers
  • The sum of a number and twenty-one is sixty-four. what is the value of the number?
    12·2 answers
  • Help me in this question please
    10·1 answer
  • Will give brainlist if right
    13·1 answer
  • PLS HELP ASAP 30 POINTS
    11·1 answer
  • According to the graph, what is the value of the constant in the equation<br> below?
    9·2 answers
  • ( brainlies ) Can somebody help me with this?
    10·2 answers
  • The area of a circle is 18.31cm2.<br> find the length of the radius rounded to 2 dp.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!