Solve 3(x - 4) = 11x

Answers

Answer 1

Answer:

[tex]x = \frac{-3}{2}[/tex]

Step-by-step explanation:

3(x - 4) = 11x

Expand the brackets:

3x - 12 = 11x

Subtract 3x from both sides to isolate the -12:

3x - 12 = 11x

3x - 3x - 12 = 11x - 3x

-12 = 8x

8x = -12

Divide both sides by 8:

[tex]\\\frac{8x}{8} = \frac{-12}{8}\\x = \frac{-12}{8}\\[/tex]

Simplify fraction:

[tex]x = \frac{-12}{8}[/tex]

[tex]x = \frac{-12 \div 4}{8 \div 4}\\x = \frac{-3}{2}[/tex]

Hope this helps!


Related Questions

-3(u+4)-2u=2(u+1)
a) no solution
b) u=
c) All real numbers are solution

Answers

Answer: u = -2

Step-by-step explanation:

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

-3u-12-2u=2u+2

-5u-12=2u+2

-7u = 14

u = -2

I NEED HELP please, take 50 points if you answer It and a 50/50 at a brainiest.

"The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00. Write a function to represent this scenario.

Which graph represents this wage increase for x < 12?"

-normally I'd just double-check this but. . . you get it.

Answers

Red dots are starting co-ordinates and whites are ending co-ordinates .

So the graph must have red dots at the start of line and not mandatory for at the end of line.

x<12

It should not be at end

Check option B

x ends at first point .

And also the interval is 2

so Option B is correct

Raffle tickets are being sold for a fundraiser. The function a(n) relates the
amount of money raised to the number of tickets sold, n.
It takes as input the number of tickets sold and returns as output the amount
of money raised.
a(n) = 3n - 30
Which equation represents the inverse function n(a), which takes the money
raised as input and returns the number of tickets sold as output?

Answers

The money raised depends only on the number of tickets sold, the inverse equation is found by making the tickets sold the subject.

[tex] \underline {n =\frac{a(n) }{3} + 10}[/tex]

How can the inverse function be found?

The given parameters are;

a(n) = The amount of money raised

n = The number of tickets sold

a(n) = 3•n - 30

Solution;

The equation that takes the amount of money raised and returns the number of tickets sold is found as follows;

a(n) = 3•n - 30

a(n) + 30 = 3•n

Therefore;

[tex]n = \frac{a(n) + 30}{3} = \frac{a(n) }{3} + 10[/tex]

The number of tickets sold,

[tex] \underline {n =\frac{a(n) }{3} + 10}[/tex]

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Hello kind people I will be handing A brain-list
The Chang family is on their way home from a cross-country road trip. Their starting destination is 2,280 miles from their home. The Chang family can expect to decrease the distance from their home by 60 miles per hour.

Part A: Based on the information provided, write the function d(t) that represents the family's distance (in miles), d, from home after t hours of driving.

Part B: If rate at which the Chang family travels home continues at the same rate, determine the value of d(15) and describe what it means in reference to the situation.

Answers

Answer: d is 15 hrs

Step-by-step explanation:

Just substitute 15 in for t in 2280-60t and evaluate to get D(15)

D(15) is how many miles left to drive to get home after 15 hours

I don't know if this is 100% correct but I tried

Using the formula find the slope of a line with the points (10,20) and (30,50).

Answers

Answer:

m = 2/3

Step-by-step explanation:

Slope is defined as the ratio rise/run.

As we move from (10, 20) to (30, 50), the run is 30 - 10, or 20, and the rise is 50 - 20, or 30.  Thus, the slope of the line is m = 30/20, or 2/3.

Help me with this hw plz

Answers

Answer:

here

Step-by-step explanation:

А. parallelogram .............

Answer: A
Step-by-step explanation:

Each big square below represents one whole.

Answers

Answer:

103%

Step-by-step explanation:

each little box is 1%

What is 1/6 to the power of 3

Answers

Answer:

[tex]\frac{1}{216}[/tex]

Step-by-step explanation:

Exponents on fractions work like this:

[tex](\frac{x}{y} )^a=\frac{x^a}{y^a}[/tex]

Apply that to your problem:

[tex](\frac{1}{6} )^3\\\\\frac{1^3}{6^3} \\\\\frac{1}{216}[/tex]

Answer:

1/216

Step-by-step explanation:

1/6 x 1/6 is 1/36

1/36 x 1/6 is 1/216

9. Allen and his two brothers decide to purchase a video game system together. They determine
that each person will need to pay $32.30. How much is the cost of the video game system?
I need a variable, equation, and the solution. Pls help!!!

Answers

Step-by-step explanation:

that is so simple, it is already difficult to make it formal, because there are only so few things to deal with. you really need help with this ?

you are not familiar with the situation "hey, this costs $10, we are 5 people, if we buy and then use it together, each one has to pay $2" ?

and this is just the other way around : if 5 people paid $2, how much did they pay together ? $10.

let's make it super formal :

price p = Allen contribution a + brother1 contribution b + brother2 contribution c

p = a + b + c

a = b = c = $32.30

p = $32.30 + $32.30 + $32.30 = 3×$32.30 = $96.90

i need some help with simple algebra! using pemdas :p

Answers

Answer:

the answer is 69

Step-by-step explanation:

the step by step explanation is that 2+2+4

pemdas

perenthasy

exponents

multiplication

division

adition

subtraction

(I really need help ASAP)

Solve the exact solutions to the following linear systems using the most appropriate strategy

a.
2/5x – 2y = 9
y = 5x + 1

b.
15 = 3m + 5n
2x - 9y = 10

Answers

Answer:

a= 10     b=1

Step-by-step explanation:

I had the same question

How much water can the large water hold?

Answers

Answer:

700 ml

Step-by-step explanation:

If the 15cm bottle holds 500ml of water, you can create the ratio of 15:500, which simplifies to 3:100.

Since the second bottle is 21cm, you find 21:x.

Because you already have 3:100 as given from the first bottle, if you multiply both sides by 7 you get 21:700.

This means the second bottle holds 700ml.

Answer:

700 mi of water

Step-by-step explanation:

We can divide 21 by 15 to how many times greater they are to each other

21÷15=1.4

Since the 15 cm bottle of water can hold 500 mi we multiply 500 • 1.4 = 700mi

Brainliest please

Please answer my question

Answers

Answer:

180 667 777 98827

Step-by-step

the graaph has three differnt lines that connet

How much money will be in an account with an initial investment of $13, 675 at 4.3% interest over 5
years if the interest is compounded annually?

Answers

The end balance in the account will be$16,948.6 and the total compound interest is $3,273.6. Does that help?

if f(x) =3x-2 find f-1(x)

Answers

Answer:

1

Step-by-step explanation:

f(-1)= -3(-1) -2

f-1)=1

Help please……………………………..

Answers

Answer:

Diagram number 3 is not a function.

Step-by-step explanation:

It isn't a function because C goes to 2 different numbers.

Answer: Choice (3)

Explanation:

For choice (3), the input C maps to more than one output (The values 1 and 3 at the same time). A function must have each input map to one and only one output. So this is why relation (3) is not a function.

The other answer choices (1), (2) and (4) have each input point to exactly one output. So these are functions that can be ruled out.

I’m really bad at math please help me

Answers

x=20

Hope this helps!!

Consider the number 9,953. Is this number divisible by 2, 3, 4, 5, 9, or 10? Provide justification for each number without using a calculator. Hint: If a number is not divisible by 2, then what other numbers is it also not divisible by?

Answers

Answer:

Divisible by none

Step-by-step explanation:

9,953 is odd

9+9+5+3 = 2 + 6 = 8 (not divisible)

53/4 is not a whole number

9,953 doesn't end with 5 or 0.

9 + 9 + 5 + 3 = 26 (not divisible by 9)

9,953 has no 0 at end.

You are welcome!

Kayden Kohl

8th Grade Student

The number 9,953 is divisible by neither of the digits 2, 3, 4, 5, 9, 10.

What is the importance of knowing divisibility rules?

The importance of knowing divisibility rules is that we can determine whether a number is divisible by certain numbers generally from 1 to 20 or not without actually dividing.

Given, 9,953. Is this number divisible by 2, 3, 4, 5, 9, 10 or not.

A number is divisible by 2 if it's unit digit is divisible by 2.

A number is divisible by 3 if the sum of the digits is divisible by 3.

A number is divisible by 4 if the last two digits is divisible by 4.

A number is divisible by 5 if its unit digit is 5 or 0.

A number is divisible by 9 if the sum of the digits is divisible by 9.

A number is divisible by 10 if its unit digit is 0.

learn more about divisibility rules here :

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Sam and Andre shared a number of pennies in the ratio 8:3. They received a total of 671 pennies. How many more pennies did Sam receive than Andre?

Answers

Answer:

Sam had 488

Andre had 183

488:183

please mark brainllest

Slope help please it is supposed to be easy

Answers

Look at the coordinates, y=4 in that coodinate meaning it is the y=intercept.

The slope u already know,

The formula for equation --> Y=mx+b

Answer: Y=3/4+4

2 + 2 = 4 - 1 =






















thats 3 quick maffs

Answers

Answer:

3

Step-by-step explanation:

Half the sum of a number and 1.75 is −5.1. Enter your answer as a simplified mixed number

Answers

The unknown number expressed as a mixed fraction is 11 19/20

Let the unknown number be "x"

The sum of the number and 1.75 is expressed as x + 1.75

Half the sum of a number and 1.75 is 1/2(x+1.75)

Equating the result to -5.1 wil give:

1/2(x+1.75) = -5.1

Solve the resulting equation

x + 1.75 = 2(-5.1)

x + 1.75  = -10.2

x = -10.2 - 1.75

x = 11.95

x = 1195/100

x = 11 95/100

Hence the unknown number expressed as a mixed fraction is 11 19/20

Learn more here: https://brainly.com/question/14583740

Answer

-11 19/20

I took the test and got it right!

What is an explanation or picture of how to work out the problem 8.13-2.716

Answers

Answer:

5.414

subtract 8.13 from 2.716 and u will get ur answer

Complete the table using the equation y = 8x + 8 ( helppp plsss)

Answers

Answer:

0, 8, 16, 24, 32

Step-by-step explanation:

plug in the values given for x into the 8x+8 equation

Example:

8(-1)+8

8(0)+8

Answer:

(-1, 0), (0, 8), (1, 16), (2, 24), (3, 32)

Step-by-step explanation:

To find answers to problems like these, take the x-value, which in this case is -1, and replace it with the variable,

y = 8*-1 + 8. Then do the rest, y = -8 + 8, y = 0. You already have the x, -1, and now you got y, 0. Then pit in ordered pairs, x first, then y, (-1, 0)

The best way to accurately solve real-life problems involving decimals is through/by?

Answers

Answer:

Rounding maybe

Step-by-step explanation:

can y⁵ x y be simplified??​

Answers

Answer:

Yes,

[tex]y^{6} x[/tex]

Step-by-step explanation:

[tex]y^{5} xy = y^{5} *y*x = y^{6} x[/tex]

QUICK!!!! I NEED AN ANSWER!! Emily says that the negative sign means opposite of, so -(-45) means the opposite of negative 45, which is 45. Is Emily correct?

Answers

Answer:

Yes, Emily is correct.

Step-by-step explanation:

If you have a - sign in front of a number in parenthesis that is negative, then what you are doing is taking the opposite of that negative number. Remember that the opposite of a negative number is a positive number. In this case, we want the opposite of negative five. What is that? It is +45, or 45. So yes, Emily is correct.

Guys help plzzzzzzzzzzzzz?!!!!

Answers

[tex]-2z -18 = -6 \\\\\implies -2(z+9)=-6\\\\\implies z + 9 = 3\\\\\implies z = 3-9 = -6[/tex]

Please help me please help meeee please

Answers

Answer:

The answer is D

Step-by-step explanation:


Choose all of the proportional relationships that have a greater unit rate than the unit rate of this graph.
10
9
8
7
6
5
4
3
2
1
5
7
B
00
9 TD
X
y
2
5
10
15
low
y
3
6
9
6
12
18
6
y = 2x
y = 0.25%
y
2
4
y
3
6
9
8
16
24
8
12

Answers

The proportional relationships that have a unit rate that is greater than that of the one of the graph are: the first and third tables, and y = 2x.

How to Determine the Unit Rate of a Proportional Relationship?

The unit rate can be calculated as, m = y/x. In an equation that represents a proportional relationship, y = mx, the value of m is the unit rate.

Using a point on the graph, (5, 2):

Unit rate of the graph = y/x = 2/5

Unit rate = 0.4.

Unit rate for the first table = 3/5 = 0.6 [greater than 0.4]

Unit rate for the second table = 2/6 = 0.3 [less than 0.4]

Unit rate for y = 2x, is 2 [greater than 0.4].

Unit rate for y = 0.25x, is 0.25 [less than 0.4].

Unit rate for the third table = 2/4 = 0.5 [greater than 0.4]

Unit rate for the second table = 3/8 = 0.375 [less than 0.4]

Those that have a unit rate that is greater than the one of the graph are: the first and third tables, and y = 2x.

Learn more about unit rate on:

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