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
Andrei [34K]
3 years ago
10

What is the solution to this equation?

Mathematics
1 answer:
Anettt [7]3 years ago
6 0

Answer:

B. a = 5

Step-by-step explanation:

3(a - 4) + 1 = 9 - a

Distribute the 3 into the parenthesis.

3a - 12 + 1 = 9 - a

Add -12 and 1.

3a - 11 = 9 - a

Add a to both sides.

4a - 11 = 9

Add 11 to both sides.

4a = 20

Divide both sides by 4.

a = 5.

Proof:

3(a - 4) + 1 = 9 - a

Substitute variable.

3(5 - 4) + 1 = 9 - 5

Subtract inside parenthesis.

3(1) + 1 = 9 - 5

Multiply 3 and 1.

3 + 1 = 9 - 5

Add 3 and 1.

4 = 9 - 5

Subtract 5 from 9.

4 = 4.

You might be interested in
Three brothers Charlie Robert and Nicholas have 21 video games Charlie has twice as many games as Robert. Robert has 5 fewer gam
AVprozaik [17]

Answer:

The equation would be 4x-15=21.

Step-by-step explanation:

Given;

Total Number of Video games = 21

Let the number of video game Nicholas has be 'x'.

Now Given:

Robert has 5 fewer games than Nicholas.

so we can say that;

number of video game Robert has = x-5

Also Given:

Charlie has twice as many games as Robert.

so we can say that;

number of video game Charlie has = 2(x-5)=2x-10

we need to write the equation.

Solution:

Now we can say that;

Total Number of Video games is equal to sum of number of video game Nicholas has, number of video game Robert has and number of video game Charlie has.

framing the equation we get;

x+x-5+2x-10=21\\\\4x-15=21

Hence The equation would be 4x-15=21.

On Solving we get;

Adding both side by 15 we get;

4x-15+15=21+15\\\\4x=36

Dividing both side by 4 we get;

\frac{3x}{4}=\frac{36}{4}\\\\x=9

Hence Nicholas has = 9 video games

Robert has = x-5= 9-5=4 video games

Charlie has = 2x-10 = 2\times9-10=18-10=8 video games

5 0
3 years ago
Read 2 more answers
Plsss helppp I’m dying!! —> Complete the square to determine if the equation is a circle, quadratic equation, or other
sashaice [31]

a) The equation represents an ellipse.

b) The equation represents a circle.

c) The equation represents a parabola.

<h3>How to infer the graphical form of a general equation</h3>

In this problem we have <em>general</em> equations of the form A · x² + B · y² + C · x + D · y + E = 0, which have to be modified into <em>standard</em> form to infer its <em>graphical</em> form. This procedure can be done by <em>algebra</em> properties:

16 · x² + 4 · y² + 96 · x - 8 · y + 84 = 0

[(4 · x)² + 2 · 12 · (4 · x)] + [(2 · y)² - 2 · 2 · (2 · y)] = - 84

[(4 · x)² + 2 · 12 · (4 · x) + 144] + [(2 · y)² - 2 · 2 · (2 · y) + 4] = 64

(4 · x + 12)² + (2 · y + 2)² = 64

4² · (x + 3)² + 2² · (y + 2)² = 64

(x + 3)² / 4 + (y + 2)² / 16 = 1 : Ellipse

x² + y² + 8 · x - 6 · y - 15 = 0

(x² + 8 · x) + (y² - 6 · y) = 15

(x² + 2 · 4 · x + 16) + (y² - 2 · 3 · y + 9) = 40

(x + 4)² + (y - 3)² = 40 : Circle

x² + 6 · x + 4 · y + 5 = 0

x² + 6 · x + 5 = - 4 · y

y = - (1 / 4) · x² - (3 / 2) · x - (5 / 4) : Parabola

To learn more on ellipses: brainly.com/question/19507943

#SPJ1

4 0
1 year ago
What is 6300kg in grams
vaieri [72.5K]

Answer:

6,300kg=6,300,000grams

multiply 6,300 and 1,000 to get 6,300,000

4 0
3 years ago
The number of transistors per IC in 1972 seems to be about 4,000 (a rough estimate by eye). Using this estimate and Moore's Law,
spayn [35]

Answer:

The prediction for the number of transistor per IC in 1992 is of 4,194,304,000

Step-by-step explanation:

Moore's law:

Moore's law states that the number of transistors per IC doubles every year.

Format of the function:

Following Moore's law, t years after our initial estimative, the number of transistors per IC will be given by:

N(t) = N(0)*2^t

In which N(0) is the initial estimate.

The number of transistors per IC in 1972 seems to be about 4,000 (a rough estimate by eye).

This means that N(0) = 4000

So

N(t) = 4000*2^t

What would you predict the number of transistors per IC to be 20 years later, in 1992?

This is N(20). So

N(20) = 4000*2^20 = 4194304000

The prediction for the number of transistor per IC in 1992 is of 4,194,304,000

4 0
2 years ago
Select the graph that best represent this description
marusya05 [52]

The top left graph is the only one correct. It rises up slowly then faster, and then stays constant for an hour, then decreases.

3 0
3 years ago
Read 2 more answers
Other questions:
  • John bought 2 5-pound bags of candy to share with his classmates. If there are 25 students in johns class, how much candy will e
    7·1 answer
  • Which of the following is the quotient of the rational expressions shown below?
    10·2 answers
  • Tell what you would do to isolate the variable.
    13·1 answer
  • At an electronics store, a $165 television is marked up 110%. Trevor purchases the TV and must pay 6.5% sales tax.
    15·2 answers
  • A number that has only 2 factors
    7·1 answer
  • A specialty shoe manufacturer developed a new insole for running shoes. A study was produced in which some participants were giv
    5·2 answers
  • 7. Order the following integers from least to greatest: 0,5,18,100,22
    12·1 answer
  • Write and equation in slope intercept form for the line that has a Slope of 2 and passes though (1,-5)
    13·1 answer
  • What is the circumference of a circle<br> with radius 64 inches? Write your answer<br> using pi.
    12·1 answer
  • On a piece of paper, use a protractor to construct right triangle ABC with BC=5 cm, m∠B=60°, and m∠C=90°.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!