Solve the following equation by combining like terms:
x+x+2+3x-6= 31
X=

Answers

Answer 1

Answer:

X= 7

Step-by-step explanation:

x+x+2+3x-6=31 Combine x's

2x+2+3x-6=31 Continue to combine x's

5x+2-6=31  Combine whole numbers

5x-4=31  Add 4 to both sides

5x=35 Divide by 5

x=7


Related Questions

Solve for y.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
5y +3> -7y + 13

Answers

Answer: Y>5/6

Step-by-step explanation: I had this on khan Academy and got this right

The solution to the inequality 5y + 3 > -7y + 13 is y > 5/6.

What is the solution to the inequality?

Given the inequality in the question:

5y + 3 > -7y + 13

To solve the inequality 5y + 3 > -7y + 13, combine like terms on both sides and isolate the variable term:

5y + 3 > -7y + 13

Add 7y to both sides of the inequality:

5y + 7y + 3 > -7y + 7y + 13

5y + 7y + 3 > 13

12y + 3 >  13

Next, subtract 3 from both sides of the inequality:

12y + 3 - 3 > 13 - 3

12y > 10

Isolate variable y by dividing both sides by 12:

y > 10/12

Simplifying, we get:

y > 5/6

Therefore, the solution is y > 5/6.

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Select all the situations that can be represented by 1/2⋅5. * 1 point Diego lives 5 miles from school, and Elena lives 1/2 as far away as Diego. How many miles does Elena live from school? Jada has 5 bottles that each contain 1/2 liter of water. How many liters of water is that in total? Noah has 5 meters of rope. How many pieces of rope of length 1/2 meter can he cut from it? Lin's goal is to run 5 miles. She ran 1/2 mile. What fraction of her goal is that?

Answers

Answer:

Elena lives 2.5 miles away from school.The total liters of water is 2.5 litersHe can cut 10 pieces of rope of length 1/2 meterThe fraction of her goal she ran is 1/10

Step-by-step explanation:

From the question,

Diego lives 5 miles from school, and Elena lives 1/2 as far away as Diego

Therefore, Elena lives 1/2 of 5 miles away from school.

1/2 of 5 miles = 2.5 miles

Hence, Elena lives 2.5 miles away from school.

Jada has 5 bottles that each contain 1/2 liter of water.

Since each bottle contain 1/2 liter of water, then

The total liters of water is (1/2 × 5) liters

1/2 × 5 = 2.5 liters

Hence, the total liters of water is 2.5 liters

Noah has 5 meters of rope

To determine how many pieces of rope of length 1/2 meter he can cut,

Number of pieces of rope of length 1/2 meter that can be cut is 5 meter ÷ 1/2 meter

5 meter ÷ 1/2 meter = 10

Hence, he can cut 10 pieces of rope of length 1/2 meter.

Lin's goal is to run 5 miles. She ran 1/2 mile.

To determine what fraction of her goal that is,

First, she ran 1/2 mile out of 5 miles.

The fraction of her goal she ran is 1/2 mile ÷ 5 miles

1/2 mile ÷ 5 miles = 1/10

Hence, the fraction of her goal she ran is 1/10.

Answer:

i need points :)

Step-by-step explanation:

the gas tanks in a car is 60% full. If the gas tank has 8 gallons in it. How many gallons total does the gas tank hold

Answers

Answer:

12

Hope this helps! -xox

Rewrite in simplest terms: (-8x – 9y) + (-X – 5y)

Answers

Answer:

-9x - 14y

Step-by-step explanation:

Step 1: Write expression

(-8x - 9y) + (-x - 5y)

Step 2: Combine like terms

-9x - 14y

The price of a box of markers at a retail store is $4.65. Th e price of a box
of markers at the school bookstore is $3.90. How much more do the markers cost at the
retail store? Explain how you can use a quick picture to solve the problem.

Answers

Answer:

.75 or 3 quarters

Step-by-step explanation:

4.65 - 3.90 =.75 or 3 quarters

Solve -5 x (- 5/2 ) x 4/15
25/4
10/3
20/4
15/2

Answers

Step-by-step explanation:

25/2*4/15

100/30

10/3

=0.3

Find the missing term in the following sequence ? 1, 4, 11, 26, 57, 120, ______

Answers

Answer:

247

Step-by-step explanation:

1,4,11,26,57,120. see the pattern that emerges from the series:

4–1 = 3; 3–1 = 2 = 2^1

11–4 = 7; 7 - 3 = 4 = 2^2

26 - 11 = 15; 15 - 7 = 8 = 2^3

57 - 26 = 31; 31 - 15 = 16 = 2^4

120 - 57 = 63; 63 - 31 = 32 = 2^5

so the next number should be 64+63 = 127+120 = 247.

check: 247–120 = 127; 127–63 = 64 = 2^6. correct.

so the next number is 247. 2^n+(n-1)

Given sequence;

1, 4, 11, 26, 57, 120, _

The missing term  =?

Solution;

We need to find the relationship between each term and then we can find the missing term;

      1, 4, 11, 26, 57, 120, _ ;

 let us start with the first two;

       3 x 2 + 1  = 7 + 4  = 11

       7 x 2 + 1  =  15 + 11 = 26

       15 x 2 + 1 = 31 + 26 = 57

       31 x 2 + 1 = 63 + 57 = 120

       63 x 2 + 1 = 127  + 120 = 247

   

        We see this pattern and can conclude that the missing term is 247

Will mark the BRAINLEST!!! 50 points!! If you know any of the answers please help!?!
1.) Bicycles have three types of tires: mountain bike, road touring, and cruising. An experiment is to be conducted to determine whether the mileage before a tire change is needed is the same for all three types of tires. In previous studies, it was determined that bicycle weight (light, normal, heavy) is associated with frequency of tire changes, but bike type (mountain, road, cruising) is not associated with frequency of tire change. How would blocking best be used?
a. By blocking on bicycle type
b. By blocking on mileage
c. Blocking is not suggested.
d. By blocking on tire type
e. By blocking on bicycle weight

2.) From 2010 to 2015, a group of researchers conducted an experiment using two types of pain medication: pill A and pill B. The researchers gave the doctors the pills in unidentified packages so they would not know which package was pill A and which package was pill B. The patients participating did not know which pill they received either. What is this an example of?
a. The effect of a treatment unit
b. The placebo effect
c. A control group study
d. A double-blind study
e. Voluntary response bias

3.) Cocoa plant type 1 yielded 155 bushels per acre last year at a research farm. This year, cocoa plant type 2, planted in the same location, yielded only 123 bushels per acre and there was a major freeze. The researchers do not know whether the difference is the result of the superiority of type 1 or the freeze. What is this an example of?
a. Bias
b. Confounding variable
c. Matched-pairs design
d. The placebo effect
e. Replication

4.) A cell phone company is trying to find a waterproof cell phone case to add to its product line. Company managers know that plastic and silicone will be used. They also know that the depth of the water—less than five feet, between five feet and 20 feet, and more than 20 feet—affects the waterproof case. An experiment will compare all combinations of these choices. The cell phones will be subjected to each treatment, with one group dropped in water without a case, and all phones will be scored for quality. What is the control?
a. Cell phones in the plastic case
b. Cell phones in the silicone case
c. Cell phones in the plastic case dropped in water less than five feet deep
d. Cell phones in the silicone case dropped in water more than 20 feet deep
e. Cell phones with no case

5.) Do children prefer purple juice or yellow juice? Two different supplements, which have no effect on taste, are used on identical juice to produce purple juice or yellow juice. Volunteer children are randomly assigned to either purple juice or yellow juice, and they are asked to rate the juice on a scale from 1 point to 10 points. Is blinding demonstrated in the experiment?
a. No, because the volunteers do not know the color juice they are getting
b. Yes, by having the experimenter in a separate room pick one of the two containers at random and having a juice pulled from that container remotely
c. Yes, by having the statistician analyzing the results not know which volunteer sampled which juice
d. Yes, by having the volunteers wear a blindfold while drinking the juice out of the container, so that they don't know the color juice they are tasting
e. No, because the volunteers know whether they are drinking purple juice or yellow juice

Answers

Answer:

1. E

2. A

3. B

4. C

5. E

Step-by-step explanation:

What is the value for x? 8x-13 and 5x+14

Answers

Answer:

9

Step-by-step explanation:

8x-13=5x+14

you subtract 5x from both sides and get

3x-13=14

then add 13 to both sides  and get

3x=27

then divide 3 from both sides

3/3=x

27/3=9

x=9

Answer:

x = 9

Step-by-step explanation:

8x - 13 = 5x + 14                                                                                                                                Subtract 5x from both sides of the equation                                                                    3x - 13 = 14                                                                                                                          Add 13 to both sides of the equation                                                                            3x = 27                                                                                                                                     Divide by 3 for both sides of hte eqation                                                                        x = 9

12. Write the following expression in the form ax? +bx+c, where a, b, and c are real number constants.
(x+6)(x+5)+(x+6)(x-2)

Answers

Answer: x=35

Step-by-step explanation: (x+6)(x+5)+(x+6)(x-2) = (x+6) X (2x+3)= 35

((x + 6) • (x + 5)) +  (x + 6) • (x - 2)

Pull out     x+6  

After pulling out, we are left with :

     (x+6) • ( 1  *  (x+5) - (-1)  *  (x-2) ))

  (x + 6) • (2x + 3)=35

This is 2x²+15x+18 expression in the form  ax²+bx+c.

What is expression?

Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

(x+6)(x+5)+(x+6)(x-2)

x²+5x+6x+30+x²-2x+6x-12

2x²+15x+18

Comparing expression to the form ax²+bx+c,

So a = 2, b = 15, and c = 18

Hence, this is 2x²+15x+18 expression in the form  ax²+bx+c.

Learn more about Expressions

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Im stuck please help ( use the PEMDAS)

Answers

Answer:  2. (4-2) x4 =8

               3. (7-1) * 6 = 36

                4. 4+ 3+ 4 = 11

               5. (15 x2) * -3 = -90

                6. 10 * (-3) x19 - 8 = -578  

Hope that helps

Step-by-step explanation:

Please Excuse My Dear Aunt Sally

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

round 3,989.23655 to the nearest thousandth

Answers

3,989.237
A thousandth = 1/1000 = 0.001
Round 4th decimal place = 5
5 and over is rounding up and under 5 rounds down so it would be 3,989.237

someone help me please!!
If x=2 and y=-3, what is the value of 2x(to the second power) - 3xy-2y(to the second power)

when i say to the second power i mean exponent 2! THANK YOU

Answers

Answer:

8

Step-by-step explanation:

2(2)^2-3(2)(-3)-2(-3)^2

2*4+18-18

8+18-18

8+0

8

F(n)=2n-5 ;find f (-8)

Answers

Answer:

-21

Step-by-step explanation:

f(-8) = 2(-8)-5 = -21

the answer is -21 .....

Using the segment addition postulate, which is true? What is the measure of AngleDCF? Three lines extend from point C. The space between line C D and C E is 75 degrees. The space between lines C E and C F is 54 degrees. The measure of AngleDCF is degrees.

Answers

Answer:

129

Step-by-step explanation:

If three lines CD, CE and CF extend from point C, then the following addition postulate is true;

<DCE + <ECF = <DCF

If the space between line C D and C E is 75 degrees, then <DCE =  75

If the space between lines C E and C F is 54, then <ECF = 54.

Substitute the given values into the expression above will  give;

<DCF =<DCE + <ECF

<DCF  = 75+54

<DCF  = 129

Hence the measure of <DCF  is 129°

An elephant weighs about 1.3×10 to the power of 4 pounds a car weighs about 4×10 to the power 3 pounds an elephant weighs about how many times more than the car weighs write your answer in standard notation

Answers

Answer:

[tex]\frac{13}{4}[/tex]times

Step-by-step explanation:

Weight of elephant  = 1.3 x 10⁴lb  = 13000lb

Weight of car  = 4 x 10³lb = 4000lb

Unknown:

  Number of times the elephant weigh more than the car = ?

Solution:

 The number of times = [tex]\frac{Weight of elephant}{Weight of car}[/tex]

      Number of times  = [tex]\frac{13000}{4000}[/tex] = [tex]\frac{13}{4}[/tex] times

What is the answer to this question because I don’t know?

Answers

Answer:

B.

Step-by-step explanation:

To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.

Which of the following shows two equivalent expressions?
A) 3(x - 4) and 3x – 4
B) 2(x + 5) and 2x + 10
C) 3(2x + 6) and 6x + 9
D) 4(2x - 6) and 6x - 24

Answers

Make a good guess but I guess is c
the answer would be B. Distribute 2(x+5) so you multiply 2•x and 2•5. you would get 2x+10.

A circle is translated 4 units to the right and then reflected over the x-axis. Complete the statement so that it will always be true of the circle at the new location.

Answers

Answer:

The statement is now presented as:

[tex]\exists\, (h,k)\in \mathbb{R}^{2} /f: (x-h^{2})+(y-k)^{2}=r^{2}\implies f': [x-(h+4)]^{2}+[y-(-k)]^{2} = r^{2}[/tex]

In other words, this mathematical statement can be translated as:

There is a point (h, k) in the set of real ordered pairs so that a circumference centered at (h,k) and with a radius r implies a equivalent circumference centered at (h+4,-k) and with a radius r.

Step-by-step explanation:

Let [tex]C = (h,k)[/tex] the coordinates of the center of the circle, which must be transformed into [tex]C'=(h', k')[/tex] by operations of translation and reflection. From Analytical Geometry we understand that circles are represented by the following equation:

[tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex]

Where [tex]r[/tex] is the radius of the circle, which remains unchanged in every operation.

Now we proceed to describe the series of operations:

1) Center of the circle is translated 4 units to the right (+x direction):

[tex]C''(x,y) = C(x, y) + U(x,y)[/tex] (Eq. 1)

Where [tex]U(x,y)[/tex] is the translation vector, dimensionless.

If we know that [tex]C(x, y) = (h,k)[/tex] and [tex]U(x,y) = (4, 0)[/tex], then:

[tex]C''(x,y) = (h,k)+(4,0)[/tex]

[tex]C''(x,y) =(h+4,k)[/tex]

2) Reflection over the x-axis:

[tex]C'(x,y) = O(x,y) - [C''(x,y)-O(x,y)][/tex] (Eq. 2)

Where [tex]O(x,y)[/tex] is the reflection point, dimensionless.

If we know that [tex]O(x,y) = (h+4,0)[/tex] and [tex]C''(x,y) =(h+4,k)[/tex], the new point is:

[tex]C'(x,y) = (h+4,0)-[(h+4,k)-(h+4,0)][/tex]

[tex]C'(x,y) = (h+4, 0)-(0,k)[/tex]

[tex]C'(x,y) = (h+4, -k)[/tex]

And thus, [tex]h' = h+4[/tex] and [tex]k' = -k[/tex]. The statement is now presented as:

[tex]\exists\, (h,k)\in \mathbb{R}^{2} /f: (x-h^{2})+(y-k)^{2}=r^{2}\implies f': [x-(h+4)]^{2}+[y-(-k)]^{2} = r^{2}[/tex]

In other words, this mathematical statement can be translated as:

There is a point (h, k) in the set of real ordered pairs so that a circumference centered at (h,k) and with a radius r implies a equivalent circumference centered at (h+4,-k) and with a radius r.

Answer:

the same area as

Step-by-step explanation:

When a circle is translated and reflected, the center of the circle will change; however, its area, circumference, radius and diameter remain the same.

This is so because, translation and reflection only affect the positioning of the circle not the size.

Considering the above analysis, we can conclude that option d answers the question correctly.

I forget how to do this problem, little help-?

Answers

X=4

Please mark brainliest

solve P = P - C for C

Answers

Answer:

c=0

Step-by-step explanation:

c=0 for the explanation

i need help with geometry

Answers

Answer:

thats soooo easy

Step-by-step explanation:

just do it

Answer:

Angle 5! Hope this helps :)

Step-by-step explanation:

Alternate interior angles.

Kelly is recording the temperature of a cooling chemical. Using the table, determine the initial
temperature of the chemical when she poured into the beaker.

Answers

Answer:

Initial temperature of the chemical = 97°

Step-by-step explanation:

Time             Temperature              Difference

4                          89.5                               -

10                        78.25              78.25 - 89.5 = -11.25

16                        67.00              67 - 78.25 = -11.25      

There is a common difference of -11.25 in each successive term.

Therefore, cooling of a chemical represents a linear function.

Let the function representing temperature is,

f(t) = at + b

Where 'a' = rate of change in temperature

b = initial temperature

t = time

Now 'a' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{78.25-89.5}{10-4}[/tex]

        a = -1.875

f(t) = -1.875t + b

For t = 4 and f(t) = 89.50,

89.50 = -1.875(4) + b

b = 97

Therefore, function representing the cooling of chemical is,

f(t) = -1.875t + 97

And the initial temperature of the chemical was 97° when it was poured into the beaker.

Someone please help me
(Slope intercept problem)

Answers

Answer:

Y=1/2x-2

Step-by-step explanation:

The sum of three consecutive integers is -90. What is the largest integer

Answers

Answer:

Step-by-step explanation:

The sum of three consecutive even integers is 108. What is the largest number? Explanation: Three consecutive even integers can be represented by x, x+2, x+4.

-3(9x - 3) = 9 - 27x *

Answers

Step-by-step explanation:

Solution,

here; [-3 (9x-3) = 9-27x]

= - 3.9x-3.-3 = 9-27x

or,

or,-27x + 9 = 9-27x (Cancellation of -27x and +9 from both side)

.°.0

Hence, required answer is 0.

5(x + 4) + 21 ≥ −3 + 4(x − 8)
−5x − 20 + 21 ≥ −3 + 4x − 32
−5x + 1 ≥ 4x − 35
−9x ≥ −36
x ≥ 4

What mistake did Eduardo make in solving the inequality?

Answers

It’s c I took the quiz

please I need HELPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

um on what ?

Step-by-step explanation:

On what I’m confused

3. The light pole is 70 ft. tall and is 1100 ft. from the vanishing point. The fifth light pole is 7 ft. tall, how far from the vanishing point is the fifth light pole?​

Answers

Answer:

110 ft

70/7=10

1100/10=110

Step-by-step explanation:

WILL MARK AS BRAINLIEST HELP** NOTE : ANSWER IN FRACTION PLS

Answers

it’s 3 i did the math on a piece of paper hope you pass
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Loptech, a technology firm, wants to issue bonds for investment purposes. Loptech has one of the best credit ratings in the industry. Market rates for debt instruments average at .5% interest. Based on its credit rating, Loptech would likely sell bonds that pay _____. 0.25%Indeterminable with current information0.5%0.75% 1. One of the aims of the progressive movement was: What two leaders helped freemuch of South America? 1. identify the nature of Anthropology, Sociology andPolitical Science What should be done to solve the following equation?b-4 = 10 Indicate how you think each of the following would shift demand in the indicated market:a. The income of buyers in the market for Adirondack vacations increase.b. Buyers in the market for pizza read a study linking pepperoni consumption to heart disease.c. Buyers in the market for gas-powered cars learn of an increase in the price of electric cars (a substitute for gas-powered cars).d. 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Finally, in the event of a tie, the message "tie" is printed and the variable tieCount is incremented. So far this is what I have: if score1>score2: player1Wins=player1Wins+1 player2Losses=player2Losses+1 print("player1Wins") elif score2>score1 player2Wins=player2Wins+1 player1Losses=player1Losses+1 print("player2Wins") else: score1=score2 tieCount=tieCount+1 print("tie") ___________________________ However, I'm still getting an error and not sure why. Am I indenting something wrong? geometry helpffffffffffff . Twelve coworkers go out for lunch together and order three pizzas. Each pizza is cut into eight slices. If each person gets the same number of slices, how many slices will each person get? Choose the answer that correctly compares the two 8/9 87%>, Dillon Products manufactures various machined parts to customer specifications. The company uses a job-order costing system and applies overhead cost to jobs on the basis of machine-hours. At the beginning of the year, the company used a cost formula to estimate that it would incur $4,192,500 in manufacturing overhead cost at an activity level of 559,000 machine-hours. The company spent the entire month of January working on a large order for 12,300 custom-made machined parts. The company had no work in process at the beginning of January. Cost data relating to January follow: a. Raw materials purchased on account, $322,000. b. Raw materials used in production, $258,000 (80% direct materials and 20% indirect materials). c. Labor cost accrued in the factory, $159,000 (one-third direct labor and two-thirds indirect labor). d. Depreciation recorded on factory equipment, $63,100. e. Other manufacturing overhead costs incurred on account, $85,000. f. Manufacturing overhead cost was applied to production on the basis of 40,720 machine-hours actually worked during the month. g. The completed job for 12,300 custom-made machined parts was moved into the finished goods warehouse on January 31 to await delivery to the customer. (In computing the dollar amount for this entry, remember that the cost of a completed job consists of direct materials, direct labor, and applied overhead.)Required: 1. Prepare journal entries to record items (a) through (f) above (ignore item (g) for the moment). 2. Prepare T-accounts for Manufacturing Overhead and Work in Process. Post the relevant items from your journal entries to these T-accounts. 3. Prepare a journal entry for item (g) above. 4. Compute the unit product cost that will appear on the job cost sheet. I am confused. Can someone help me ? Which equation represents a line that passes through (-2, 3) and has a slope (m) of -4? Explain how you can find the center of dilation of a triangle and its dilation.