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
Nady [450]
3 years ago
6

6-2(x+6)=3x+4 ...............................

Mathematics
1 answer:
juin [17]3 years ago
4 0

Answer:

x=−2

Step-by-step explanation:

1 Expand.

6-2x-12=3x+4

6−2x−12=3x+4

2 Simplify  6-2x-126−2x−12  to  -2x-6−2x−6.

-2x-6=3x+4

−2x−6=3x+4

3 Add 2x2x to both sides.

-6=3x+4+2x

−6=3x+4+2x

4 Simplify  3x+4+2x3x+4+2x  to  5x+45x+4.

-6=5x+4

−6=5x+4

5 Subtract 44 from both sides.

-6-4=5x

−6−4=5x

6 Simplify  -6-4−6−4  to  -10−10.

-10=5x

−10=5x

7 Divide both sides by 55.

-\frac{10}{5}=x

−

5

10

​

=x

8 Simplify  \frac{10}{5}

5

10

​

  to  22.

-2=x

−2=x

9 Switch sides.

x=-2

x=−2

You might be interested in
Four students took a national standardized test for which the mean was 500 and the standard deviation was 100. Their scores were
Len [333]
To get the z-value of the scores of the four students, we are going to use the formula for standard score or z-score.  It is score minus the mean score, then divided by standard deviation.

z= Score (X)-Mean / SD 

To find the z-value of each score, we have to use a Z table.  Using the z-score, we are to look first at the y-axis of the table which will highlight the first two digits of the z-score. Then, the x-axis for the second decimal place of the z-score.

You can use this as reference for the z-table: http://www.stat.ufl.edu/~athienit/Tables/Ztable.pdf

Mean= 500SD= 100Scores= 560, 450, 640, 530
For the student who scored 560,z= X-Mean / SDz= 560-500 / 100z= 60 / 100z= 0.6
The score is 0.6 standard deviation above the mean. The z-value is 0.7257 or 72.57%.
For the student who scored 450,z= X-Mean / SDz= 450-500 / 100z= -50 / 100z= -0.5
The score is -0.5 standard deviation above the mean. The z-value is 0.3085 or 30.85%.

For the student who scored 640,z= X-Mean / SDz= 640-500 / 100z= 140 / 100z= 1.4
The score is 1.4 standard deviation above the mean. The z-value is 0.9192 or 91.92%.
For the student who scored 530,z= X-Mean / SDz= 530-500 / 100z= 30 / 100z= 0.3
The score is 0.3 standard deviation above the mean. The z-value is 0.6179 or 61.79%.
8 0
3 years ago
Read 2 more answers
Solve 3/5b = 24 help me
STALIN [3.7K]
You would multiply by the reciprocal (flip the fraction)
5/3 * 24 = 40
b = 40
4 0
4 years ago
Read 2 more answers
The given line passes through the points (-2,-4) and (2,2) What is the equation, in point-slope form, of the line that is parall
Morgarella [4.7K]

Answer:

(y-1)=\frac{3}{2}(x+3)


Step-by-step explanation:

The point slope form of a line is (y-y_1)=m(x-x_1) where x_1=-3\\y_1=1. We write  

(y-1)=m(x--3)\\(y-1)=m(x+3)


Since the line is parallel to the line shown it will have the same slope. To find m, count the slope from each marked point on the graph. Count the rise then the run and create a fraction rise/run. The slope is 6/4 which simplifies to 3/2. Now substitute it for m.

(y-1)=\frac{3}{2}(x+3)




3 0
4 years ago
The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 28 ft^2. Find the dimensions
Cloud [144]

Answer:

7 x 4

Step-by-step explanation:

Let the width be x, length will be 3x-5. ATQ, x(3x-5)=28. x=4 and x=-7/3, since length isn't negative, x=4. Width=4 and length=7

3 0
3 years ago
Circles A, B, and C overlap. The overlap of circles B and C is labeled x. Which statements are true about x? Select three option
Paladinen [302]

Answer:

(A)x ∈ B ⋃ C

(B)x ∈ B ∩ C

(C)x ∈ A ⋃ C

Step-by-step explanation:

A diagram has been created and attached for more understanding.

If the overlap of circles B and C is labeled x.

Then: x \in (B \cap C)

If x is contained in the intersection of B and C, it means that:

x \in B $ and x \in C.\\$Therefore:\\x \in B \cup C

Finally:

x \in C $ and x \notin A\\$x will be in the union of A and C\\Therefore, x \in A \cup C

The correct options are A, B and C.

4 0
3 years ago
Read 2 more answers
Other questions:
  • The trigonometric ratios sine and secant are reciprocals of each other true or false?
    15·2 answers
  • I need help on number 12, 8th grade math The answer is A, I just don't know how to solve it? Someone come through and help ya gi
    10·1 answer
  • The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the c
    14·1 answer
  • In ΔABC, the measure of ∠C=90°, CA = 7.3 feet, and AB = 8.6 feet. Find the measure of ∠B to the nearest tenth of a degree.
    12·1 answer
  • Maximize: z=6x + 4y
    13·1 answer
  • Drag each expression to its equivalent expression.
    12·1 answer
  • A rectangular swimming pool is 15 meters long, 11 1/2 meters wide, and 1 1/2 meters deep. What is its volume?
    13·1 answer
  • Which of these is the best example of the Power of a Power law?
    13·1 answer
  • Given AFGH ~ ALMN, select all the statements that are true.
    11·1 answer
  • Steve reaches into a bag with 5 marbles 3 yellow marbles and 2 green marbles and randomly selects one the he puts the marble bac
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!