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
frutty [35]
3 years ago
5

What is the value of $x$ if $-\frac23(x-5) = \frac32(x+1)$?

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
4 0

Answer:

x = (-29)/5

Step-by-step explanation:

Solve for x:

(2 (x - 5))/3 = (3 (x + 1))/2

Multiply both sides by 6:

(6×2 (x - 5))/3 = (6×3 (x + 1))/2

6/3 = (3×2)/3 = 2:

2×2 (x - 5) = (6×3 (x + 1))/2

6/2 = (2×3)/2 = 3:

2×2 (x - 5) = 3×3 (x + 1)

2×2 = 4:

4 (x - 5) = 3×3 (x + 1)

3×3 = 9:

4 (x - 5) = 9 (x + 1)

Expand out terms of the left hand side:

4 x - 20 = 9 (x + 1)

Expand out terms of the right hand side:

4 x - 20 = 9 x + 9

Subtract 9 x from both sides:

(4 x - 9 x) - 20 = (9 x - 9 x) + 9

4 x - 9 x = -5 x:

-5 x - 20 = (9 x - 9 x) + 9

9 x - 9 x = 0:

-5 x - 20 = 9

Add 20 to both sides:

(20 - 20) - 5 x = 20 + 9

20 - 20 = 0:

-5 x = 9 + 20

9 + 20 = 29:

-5 x = 29

Divide both sides of -5 x = 29 by -5:

(-5 x)/(-5) = 29/(-5)

(-5)/(-5) = 1:

x = 29/(-5)

Multiply numerator and denominator of 29/(-5) by -1:

Answer: x = (-29)/5

You might be interested in
The base of a cone can be
Brut [27]
The base of a cone is something circular, like a circle or an ellipse. 
The rest of the options (square, triangle, and pentagon) are all based of pyramids, not cones. Cones have to have a circular base because otherwise they'd be pyramids.
6 0
3 years ago
Read 2 more answers
T-4t^2+2t^3 what is the degree of the polynomial
11111nata11111 [884]

Answer:

3

Step-by-step explanation:

three

8 0
3 years ago
Read 2 more answers
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU B
Sveta_85 [38]

Answer:

Columbian exchange. Tell a story in chronological order of the changes that the community undergoes as it and the communities around it make contact with Europeans over a span of roughly 50 to 100 years.

This section is worth 20 points. See the scoring rubric for more details on how you

will be graded

Use the evidence you gathered to tell the story of a hypothetical indigenous

community in the Americas and its experience involving the Columbian Exchange.

Come up with a community whose circumstances are typical of many in Central

America, the West Indies, or another part of the Americas that had direct contact with

Europeans. Tell the story in chronological order, but feel free to skip whole years or

decades so that you can cover each of the important topics related to the activity: the

availability of goods, the effects of disease, and the impact of European culture

(language and religion, for example), at the very least.

Think of your story as more of a summary than a work of fiction; you must cover a

large span of time in few words. Base the details of the story on factual evidence and

cite your sources, but keep in mind that the text should be written as a story, not as

an essay with a conventional introduction, body, and conclusion. Aim for about 700

to 1,200 words.

free body diagram can be used to help work out the net force acting on an object. True or, false?Columbian exchange. Tell a story in chronological order of the changes that the community undergoes as it and the communities around it make contact with Europeans over a span of roughly 50 to 100 years.

This section is worth 20 points. See the scoring rubric for more details on how you

will be graded

Use the evidence you gathered to tell the story of a hypothetical indigenous

community in the Americas and its experience involving the Columbian Exchange.

Come up with a community whose circumstances are typical of many in Central

America, the West Indies, or another part of the Americas that had direct contact with

Europeans. Tell the story in chronological order, but feel free to skip whole years or

decades so that you can cover each of the important topics related to the activity: the

availability of goods, the effects of disease, and the impact of European culture

(language and religion, for example), at the very least.

Think of your story as more of a summary than a work of fiction; you must cover a

large span of time in few words. Base the details of the story on factual evidence and

cite your sources, but keep in mind that the text should be written as a story, not as

an essay with a conventional introduction, body, and conclusion. Aim for about 700

to 1,200 words.

free body diagram can be used to help work out the net force acting on an object. True or, false?

Step-by-step explanation:

where my brainlest

8 0
3 years ago
The ratio of red cars to blue cars in a parking lot was 8 : 7. If there were 48 red cars, how many blue cars were there?
shutvik [7]
What you need to do is multiply both sides by the same number. If 8 times 6 is 48, then 7 times 6 is your answer.
8 0
3 years ago
Use substitution to solve s+a=4 and 35+5a=2550
mario62 [17]
35+5(4-s)=2550
35+20-5s=2550
55-5s=2550
-55 -55
-5s = 2495
s = - 499

-499 + a = 4
+499 +499
a = 503
5 0
3 years ago
Read 2 more answers
Other questions:
  • Un poste vertical de 11.3 metros proyecta una sombra de 84.6 metros. ¿Qué altura tendrá un árbol que a la misma hora proyecta un
    7·1 answer
  • Which sum or difference identity could be used to prove that cos(270º - thata) = -sin thata is an identity?
    12·1 answer
  • What is the the formula of the radius of the circle?​
    12·1 answer
  • Which of following equations are identities. Check all that apply.
    11·2 answers
  • Please hurry it’s urgent
    11·1 answer
  • 15 Points!!! Plzz Help!! Hurry!! Will Give Brainliest!!!!
    7·2 answers
  • Simplify 42.48<br> O 416<br> O 410<br> O 1616<br> O 1610
    14·1 answer
  • How do you solve 6x+104=16x+114
    6·2 answers
  • Each year, all final year students take a mathematics exam. It is hypothesised that the population mean score for this test is 8
    6·1 answer
  • What is the area of a triangle shape with a base of 12 feet, sides that are 7 feet, and a height of 9 feet
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!