Mathematics High School

Solve for x 3(x + 1) = −2(x − 1) − 4

Answers

Answer 1

Answer:

x = -1

Step-by-step explanation:

distribute:

3x + 3 = -2 (x -1) -4

distribute:

3x + 3 = -2x + 2 - 4

calculate difference:

3x + 3 = -2x - 2

move variable to left and change sign

3x + 2x + 3 = -2

3x + 2x = 2 - 3

collect like terms

5x = -2 - 3

5x = -5

x = -1

Answer 2

Answer:

x = -1

Step-by-step explanation:

3 ( x + 1 ) = -2 ( x - 1 ) - 4

distibute

3x + 3 = -2x + 2 - 4

simplify

3x + 3 = -2x - 2

inverse operations

3x + 3 = -2x - 2

+2x +2x

5x + 3 = -2

-3 -3

5x = -5

/5 /5

x = -1

Related Questions

New York City is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 3 vans and 14 buses with 509 students. High School B rented and filled 12 vans and 10 buses with 472 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.

Answers

Answer:

Step-by-step explanation:

Let's say :

v = number students in van, b = number of students in bus

From the info provided in the question:

High school A takes 3 vans and 14 buses for 509 students

We can write this as:

3v + 14b = 509

You can re-write this as :

3v = 509 - 14b

We also know High School B takes 12 vans and 10 buses for 472 students:

12v + 10b = 472

Since we already know that 3v = 509 - 14b , substitute this equation into the above formula and you get:

12v + 10b = 472

4(509 - 14b) + 10b = 472

2036 - 56b + 10b = 472

2036 - 46b = 472

2036 - 472 = 46b

1564 = 46b

Divide both sides by 46 to find "b".

b = 1564/ 46 = 34

Therefore the number of students that fit in each bus is 34.

So since we know b = 34, substitute b into the equation at the top:

3v = 509 - 14b

3v = 509 - 14(34)

3v = 509 - 476 = 33

Divide both sides by 3 to find "v".

v = 33/3 = 11.

Therefore the number of students in each van is 11.

Nick buys 6 cupcakes and a bottle of water for $2. If he spent $20 in total how much was each cupcake

Answers

Answer:

3 dollars

Step-by-step explanation:

20 dollars is his total

$20-2 dollar water bottle=18

18 dollars divided by 6 cupcakes equals 3 dollars for each cupcake.

2.6 A printer can print 12 color pages in 3 minutes. How many color pages can the printer print in 9 minutes?

Answers

Answer:

Step-by-step explanation:

12 times 3 = 36

A is directly proportional to the square root of B
When A = 50, B+4 . Find A in terms of B

Answers

Answer:

A=50, B=4

A is directly proportional to the square root of B

name the constant 'k'

A = k*B^0.5

50 = k*4^0.5

50=2k

k=25

=> A =25 root B

i.e, A = 25*B^0.5 (The answer should be written the way it is written in the attached picture)

A written in terms of B is 25√B.

What is direct and inverse proportion ?

In direct proportion if one quantity increases the other quantity also increases and vice versa.In case of inverse proportion when one quantity increases the other quantity decreases and vice versa.

According to the given question A is directly proportional to the square root of B.

∴ A = K[tex]\sqrt{B}[/tex]

Given when A = 50 B = 4.

50 = K[tex]\sqrt{4}[/tex]

50 = 2k

k = 25.

So, A =25√B.

learn more about proportion here :

https://brainly.com/question/7096655

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Graph please help x and y values

Answers

Answer:

(-5, 1)

Step-by-step explanation:

1/2 divided by (-3) sorry I just don’t get any of this

Answers

Answer:

-1/6

Step-by-step explanation:

its -1/6 cause you remove the “()” from (-3) and you also move the “-“ to 1/2 and then you make 3 into 1/3 and then you multiply -1/2 and 1/3 and you get -1/6 haha

solve the equation 2y + 5x = 4 for y

pls help

Answers

Answer:

-3

I think hope this helps.

Answer:

y = 2- [tex]\frac{5x}{2}[/tex]

Step-by-step explanation:

What is the GCF OR 24 and 34

Answers

Answer:

Greatest Common Factor of 24 and 34 Greatest common factor (GCF) of 24 and 34 is 2.

Step-by-step explanation:

Find the total area for the cylinder with the given measurement.
r= 2, h=4
A.24 pi square units
B.20 pi square units
C.16 pi square units

Answers

Answer:

A = 75.4

Step-by-step explanation:

r - 2

h - 4

Interpret the meaning of y-intercept in this context

Answers

Answer:

Its 8

Step-by-step explanation:

This is the highest peak

Find the x and y intercept of the following equation 4x-10y=20

Answers

For the given linear equation we have:

y-intercept: y = -2x-intercept: x = 5.

How to find the intercepts for the linear equation?

Here we have a linear equation:

4x -10y = 20

First, let's find the y-intercept, this is the point with x = 0, so evaluating in that we get:

4*0 - 10y = 20

-10y = 20

y = 20/-10

y = -2

The x-intercept is what we get by evaluating in y = 0.

4x - 10*0 = 20

x = 20/4

x = 5

Learn more about linear equations:

https://brainly.com/question/1884491

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The Chang family is on their way home from a cross-country road trip. During the trip, the function D(t) = 2,280 – 60t can be used to represent their distance, in miles, from home after t hours of driving.
What is the value of D(15)?

Answers

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[tex]D(t) = 2280 - 60t[/tex]

[tex]D(15) = 2280 - 60(15)[/tex]

[tex]D(15) = 2280 - 800[/tex]

[tex]D(15) = 1480[/tex]

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Answer:

1380

Step-by-step explanation:

d(t)=2280-60t

d(15)=2280-60(15)

2280-900

=1380

Which graph shows the result of dilating this figure by a factor of 4 about the origin?

Answers

Where’s the graphs? And dilating could mean getting smaller or bigger so it should not rotate or flip it should like it shrunk or grew

B is the answer just took the test

What’s the equation of the line?

Answers

Answer:

x = -1/3+3

slope = -1/3

Step-by-step explanation:

The pizza shop is running a special: 2 medium pizzas
for $6.99 each. How much would it cost to by 12
pizzas?

Answers

Answer:

41.94

Step-by-step explanation:

12 divided by 2 is 6 and six times 6.99 gets you your answer of 41.94

Answer:

$72.00

Step-by-step explanation:

Lets round $6.99 to $7.00. Now we have an easier number to work with.

To find the total price of 12 , we need to multiply $7.00 by 12.

⇒ $7.00 x 12 = $84.00

Since we added 1 cent to $6.99 and multiplied by 12, we need to sutract 1 times 12.

1 x 12 = 12

$84 - $12 = $72.00

the perimeter of a rectangular pentagon is 110 mm, find the length of one side

Answers

Answer:

22mm

Step-by-step explanation:

HELP ME WITH THIS IT IS REALLY HARD

Answers

Answer:

-3. 1/8

Step-by-step explanation: it’s negative three and 1/8

(-5) - (-48)÷(-16)+(-2)×6

Answers

the answer to this question is -20

What single transformation was applied to triangle A
to get triangle B?

Answer: translation

Answers

Answer:

Translation

Step-by-step explanation:

convert 4800 m into feet round your answer to the nearest whole number

Answers

4,800 m = 15,748.03 ft. = 15,748 ft.

Solve 8 (a+4) + 4a = 36 + 8a

Answers

Answer:

Hi there

Your answer is

a=1

Step-by-step explanation:

8(a+4)+4a=36+8a

8a+32 + 4a = 36+8a

12a+32=36+8a

-8a

4a+32=36

-32

4a=4

a=1

A carpenter can build 8 cabinets in 3 hours. At this rate, how long will it take for the carpenter to build 26 cabinets?
a. 8 hours
c. 21 hours
b. 9 hours 45 minutes
d. 69 hours 20 minutes

Answers

Answer: 21 hours

Step-by-step explanation:

i’m not sure how to solve it i just guessed and got it right

Answer:

Step-by-step explanation:

Find the slope of the following line containing the following points (4,5) and (11,33)

Answers

The answer would be 4. You use the equation y2-y1/x2-x1 so you would have 33-5/11-4 which would equal 28/7which reduces to 4

Hope this helps.

If f(x)=3x+2, what is f(5)
A. 1
B. 17
C. 13
D. 10

Answers

17 because 3 times 5 is 15 and then you add 2 which gives you 17

simply this expression -7/10- (-5/3)

Answers

Answer:

I got it right on a test. Hope it works for you. :)

Answer:

-7/10- (-5/3)

-7/10 +(5/3) [two consecutive negatives make a positive]

-21+50/30=29/30 or 0.96666666666

please help 8th grade math

Answers

Answer:

[tex]n \geq -\frac{-29}{28}[/tex]

Step-by-step explanation:

[tex]-3(1 - 7n) \geq -32 - 8n\\-3 + 21n \geq -32 -8n\\[/tex]

+8n +8n

[tex]-3 + 28n \geq -32\\+3 +3\\28n \geq -29\\/28 /28\\n \geq \frac{-29}{28}[/tex]

Austin is building a miniature replica of the empire state building. the actual empire state building is 1,423 feet tall and 6,000 feet wide. if Astin's replica has a width of 60 centimeters, what is the hight of his empire state building replica rounded to the nearest centimeter?

Answers

60/6000 = x/1423

100/1 = 1423/x

100x = 1423

x = 14.23 --> About 14 cm

PLEASE HELP!!

For what value of x does 2x-4/x+7 = 1/3?

A. 33/5

B. 2

C. 19/5

D. -7

Answers

Answer:

A i think

Step-by-step explanation:

1 Multiply both sides by 3x3x.

6{x}^{2}-12+21x=x6x

−12+21x=x

2 Move all terms to one side.

6{x}^{2}-12+21x-x=06x

−12+21x−x=0

3 Simplify 6{x}^{2}-12+21x-x6x

−12+21x−x to 6{x}^{2}-12+20x6x

−12+20x.

6{x}^{2}-12+20x=06x

−12+20x=0

4 Use the Quadratic Formula.

x=\frac{-20+4\sqrt{43}}{12},\frac{-20-4\sqrt{43}}{12}x=

−20+4√

−20−4√

5 Simplify solutions.

x=-\frac{5-\sqrt{43}}{3},-\frac{5+\sqrt{43}}{3}x=−

5−√

,−

5+√

(11x-3) (4x+39) find x

Answers

Answer:

x=6

Step-by-step explanation:

Use the Distance Formula to find the distance between (-1,4) and (4,1)

Answers

Answer:

[tex]\sqrt{34}[/tex] or 5.831

Step-by-step explanation:

Plug the coordinates into the formula and there's your answer.

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