Solve the equation
(If possible please show work)

Solve The Equation (If Possible Please Show Work)

Answers

Answer 1

Answer:

x = 0

Step-by-step explanation:

First, distribute the -4 to the parentheses:

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

-4 + 3x = 2x - 4 + 12x

Then, add like terms:

-4 + 3x = 14x - 4

Solve for x:

3x = 14x

0 = 11x

0 = x

Answer 2

Answer:

x=0

Step-by-step explanation:

We are given the following equation and asked to solve. We must solve for x by isolating x on one side of the equation.

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

First, distribute the -4. Multiply each term inside the parentheses by -4.

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

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

-4+3x= 2x-4+12x

Combine like terms on the right side of the equation. The terms 2x and 12x can be added.

-4+3x= (12x+2x)-4

-4+3x=14x-4

Next, subtract 3x to both sides of the equation.

-4+3x-3x=14x-3x-4

-4= (14x-3x)-4

-4= 11x-4

Next, add 4 to both sides of the equation.

-4+4=11x-4+4

-4+4=11x

0=11x

Finally, divide both sides of the equation by 11.

0/11= 11x/11

0/11=x

0=x

The solution to the equation -4 + 3x= 2x-4(1-3x)  is x=0


Related Questions

Does anyone know this??

Answers

Answer:

see below (I hope this helps!)

Step-by-step explanation:

The range is simply all the y values of a function. Remember, a closed dot signifies ≤ or ≥ whereas an open dot signifies < or >. We see that the minimum y value is -11, and since it has a closed dot, we can write y ≥ -11. From the graph, the maximum y value is 11 and since it has an open dot, we can write y < 11, therefore, the final answer is -11 ≤ y < 11.

Michael keeps dogs, cows, cats and kangaroos as pets.
pets in total and that 1/8 of them are dogs, 3/4 are NOT cows, 2/3 are NOT cats.
kangaroos does Michael keep?

Answers

The question above is incomplete.

Complete Question

Michael keeps dogs, cows, cats and kangaroos as pets. He has 24 pets in total and 1/8 of them are dogs, 3/4 are not cows and 2/3 are not cats. How many kangaroos does Michael keep?

Answer:

7 kangaroos

Step-by-step explanation:

Total number of pets = 24

Fraction representing total number of pets = 1

Step 1

Number of dogs =

Fraction representing dog = 1/8

1/8 × 24 = 3

He has 3 dogs

Step 2

Number of cows =

From the question, we are told that 3/4 are not cows

Therefore, the number of cows he has =

1 - 3/4 = 1/4

The fraction representing cows = 1/4

Hence the number of cows he has =

1/4 × 24 = 6 cows

Step 3

From the question, we are also told that

2/3 are not cats

The fraction representing the number of cats he has=

1 - 2/3 = 1/3

Therefore, the number of cats he has =

1/3 × 24 = 8 cats.

Step 4

How many kangaroos does Michael keep?

We are asked, how many kangaroos he keeps.

Total numbers of pets = Number of dogs + Number of cows + Number of cats + Number of kangaroos

24 = 3 + 6 + 8 + Number of kangaroos

Number of kangaroos = 24 -(3 + 6 + 8)

= 24 - 17

= 7

Therefore, the number of kangaroos that Michael has is 7 kangaroos

Write standard form, expanded form and word form at the top of the page write five numbers that are at least 8 digits long

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

28,136,720

Word form: Twenty eight Million, One hundred and thirty-six thousand, seven hundred and twenty

Expanded form: (2 * 10,000,000) + (8 * 1,000,000) + (1 * 100,000) + (3 * 10,000) + (6 * 1000) + (7 * 100) + (2 * 10) + (0 * 1)

2.) 67, 564, 312

Sixty seven million, five hundred and sixty four thousand, three hundred and twelve

(6 * 10,000,000) + (7 * 1,000,000) + (5 *100,000) + (6 * 10,000) + ( 4 *1000) + (3* 100) + (1 * 10) + (2 * 1)

3.) 534, 235, 260

Five hundred and thirty four million, two hundred and thirty five thousand, two hundred and sixty.

(5 * 100,000,000) + ( 3 * 10,000,000) + (4 * 1,000,000) + (2 * 100,000) + ( 3 * 10,000) + (5 * 1,000) + (2 * 100) + (6 * 10) + (0 * 1)

4.) 43, 780, 523

Fourty three million, seven hundred and eighty thousand, five hundred and twenty three.

(4 * 10,000,000) + (3 * 1,000,000) + (7 * 100,000) + (8 * 10,000) + (0 * 1000) + (5 * 100) + (2 * 10) + (3 * 1)

5.) 456,156, 156

Four hundred and fifty six million, one hundred and fifty six thousand, one hundred and fifty six

(4 * 100,000,000) + (5 * 10,000,000) + (6 * 1,000,000) + (1 * 100,000) + ( 5 * 10,000) + ( 6 * 1000) + (1 * 100) + ( 5 * 10) + (6 * 1)

Maria paid $5.92 for 16 pounds of tomatoes. How much did she pay per pound?​

Answers

piece of cake, it's $0.37

all you have to do is divide $5.92 by 16 to figure out price per pound.

[tex]\frac{5.92}{16}=0.37[/tex]

to check your answer multiply 0.37 by 16 and you'll get 5.92

note: if you were to divide 16 by $5.92 (inverse operation) you would be solving for pounds per each dollar, and the question asks to find what she paid for each pound not how many pounds she bought for each dollar she spent; since you're trying to figure out a certain price so you also divide by a price. I hope this makes sense

what is the expression of 4 +34times7

Answers

Answer:

242

Step-by-step explanation:

Instead of times you should use * to represent multiplication.

So, the expression is 4 + 34*7

We follow PEMDAS,

So first we multiply,

4 + 238

Now we add.

242

The Patterson family has 3 kids, 1 boy and 2 girls. Suppose that for each birth, the probability of a boy birth is 1/2, and the probability of a girl birth is also 1/2. What is the fractional probability of having 1 boy and 2 girls, in any order, in a family's first 3 births?

Answers

Answer:

[tex]Probability = \frac{1}{8}[/tex]

Step-by-step explanation:

Given

Represent Boys with B and Girls with G

[tex]P(B) = \frac{1}{2}[/tex]

[tex]P(G) = \frac{1}{2}[/tex]

Required

Find the probability or having 1 boy 2 girls

Since the order is not important, the probability is calculated as follows;

[tex]Probability = P(B) * P(G) * P(G)[/tex]

Substitute [tex]\frac{1}{2}[/tex] for P(B) and P(G)

[tex]Probability = \frac{1}{2} * \frac{1}{2} * \frac{1}{2}[/tex]

[tex]Probability = \frac{1 * 1 * 1}{2 * 2 *2}[/tex]

[tex]Probability = \frac{1}{8}[/tex]

Hence, the fractional probability is [tex]\frac{1}{8}[/tex]

You collect a total of $75 in donations from three people. The three donations are in the ratio 4 : 4 : 7. (hint: set up an equation first)

Answers

Answer:

Step-by-step explanation:

Since the ratio is 4x:4x:7x, if we add all those numbers up we get 15. Then we do 75/15 to get what x equals. So we get 5. So x equals 5. Following the rules of multiplication, you do 4(5):4(5):7(5), and simplifying that further, you get 20:20:35. If we add all those values up, we should get 75, and we do!

If you're wondering why I did 4x:4x:7x instead of 4:4:7, it's because a ratio is just a...well ratio? It's easier to visualize if you put a variable because the variable could be anything, and you would have to multiply all the given values to get the same proportions. In summery, I did it so it was easier to visualize

A rectangular room is 3 meters longer than it is wide, and its perimeter is 22 meters. Find the dimension of the room. The length is : meters and the width is: meters.

Answers

Answer:

Width = 4 m

Length = 7 m

Step-by-step explanation:

given:

perimeter of a rectangle = 22m

L = 3 + W

perimeter = 2L + 2W

perimeter = 2 (3 + W) + 2W

22 = 6 + 2W + 2W

22 - 6 = 4W

W = 16 / 4

W = 4 m

L = 3 + W

L = 3 + 4

L = 7 m

check:

perimeter = 2L + 2W

22 = 2(7) + 2(4)

22 = 14 + 8

22 = 22  ---- OK

Write an equation that illustrates a number with two decimal places multiplied by a number with one decimal place. The product has only two nonzero digits?

Answers

Step-by-step explanation:

Let the number with two decimal places be 1.23

Let the number with one decimal place be 4.5

Then 1.23 multiplied by 4.5

= 1.23 × 4.5

= 5.535

The result has more than two nonzero digits.

Note: When you multiply two decimal numbers, the decimal place(s) of the result is the addition of the decimal places of each of the numbers being multiplied.

is 3/8 a natural whole integer or rational number

Answers

3/8 is classified as a rational number.

All fractions, positive or negative, are rational numbers.

Natural numbers, whole numbers, and integers don't include fractions.

Answer:

Rational

Step-by-step explanation:

A natural number is a whole number, so that eliminates natural and whole. An integer is a whole number that includes negative numbers. Since 3/8 is not a whole number, we can eliminate that too. Rational numbers are fractions that don't go on forever. 3/8 is a rational number.

Find the unknown angle x.​

Answers

Answer:

103°

Step-by-step explanation:

[tex] m\angle DST = m\angle DCS = 80\degree.. (\angle 's \: in\: alternate \: segment) [/tex]

[tex] In\: \triangle DST[/tex]

[tex] m\angle DTS = 180\degree - (60\degree + 80\degree) [/tex]

[tex] m\angle DTS = 180\degree - 140\degree[/tex]

[tex] m\angle DTS = 40\degree[/tex]

[tex] m\angle ETA+m\angle ETD+ m\angle DTS= 180\degree.. (straight \:line \:\angle 's) [/tex]

[tex] m\angle ETA+37\degree + 40\degree = 180\degree[/tex]

[tex] m\angle ETA+77\degree = 180\degree[/tex]

[tex] m\angle ETA = 180\degree-77\degree [/tex]

[tex] m\angle ETA = 103\degree [/tex]

[tex] x = m\angle ETA = 103\degree.(\angle 's \: in\: alternate \: segment) [/tex]

Gasoline at a particular gas station cost $2.78 per gallon if Cory buys $18 of gas how many gallons did he buy?

Answers

Answer:

6.47 gal

Step-by-step explanation:

cost of gas per gallon = $2.78

rate of change is cost of gas per gallon as cost to buy gas changes with the change in quantity of gallon.

Total cost for x gallons = cost of gas per gallon*x = 2.78x

Given that total money paid by him is $18

2.78x = 18

x = 18/2.78 = 6.47

Answer:

6.47 gallons

Step-by-step explanation:

18 divided by 2.78 = 6.47

If f(x) = x – 5 and g(x) = 2x^2 + 7x – 13, find [g ºf](x).

Answers

Answer:

               [tex]\bold{[g\circ f](x) = 2x^2-13x+2}[/tex]

Step-by-step explanation:

[tex]{}[g\circ f](x) = g[f(x)] \\\\{} [g\circ f](x)= g(x-5)\\\\{} [g\circ f](x) = 2(x-5)^2+7(x-5)-13\\\\{} [g\circ f](x) = 2(x^2-10x+25)+7x-35-13\\\\{} [g\circ f](x) = 2x^2-20x+50+7x-48\\\\{} [g\circ f](x) = 2x^2-13x+2[/tex]

Select the equivalent expression.
(3^-8 • 7^3)^-2 =?

Answers

Answer:

C

Step-by-step explanation:

We can expand, getting 3^(-8)(-2) multiplied by 7^(3)(-2).

The exponents on the 3 is 16 and -6 on the 7.

This is the same as c.

The equivalent expression of (3⁻⁸ • 7³)⁻² will be 3¹⁶• 7⁻⁶. The correct option is C.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The expression will be simplified as below:-

(3⁻⁸ • 7³)⁻²  =  ( 3⁻⁸ˣ⁻²• 7³ ˣ ⁻² )

                 =  ( 3¹⁶• 7⁻⁶)

Therefore, the equivalent expression of (3⁻⁸ • 7³)⁻² will be 3¹⁶• 7⁻⁶. The correct option is C.

To know more about expression follow

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Simplify the expression (7x² - 3x) + (11x² - x - 7) A. 18x² + 2x + 7 B. 4x² - 4x - 7 C. 18x² - 2x - 7 D. 18x² - 4x - 7

Answers

Answer: D.

Step-by-step explanation:

Answer:

D.18x square-4x-7

Which of the following number sentences is an example of the commutative property of multiplication?

4 × 5 = 10 × 2
27 + 3 = 3 + 27
2 × (9 × 14) = (2 × 9) × 14
18 × 1 = 1 × 18

Answers

The answer is the 3rd one
The correct answer should be the third one :) hope I’m right .

10 (6x - 5) Simplify by distributing (and combining like terms if necessary).

6 (2x - 3) - 5x Simplify by distributing (and combining like terms if necessary).

2x (5 + 4) Simplify by distributing (and combining like terms if necessary).

-9 (8x - 5) Simplify by distributing (and combining like terms if necessary).

5 - 8 (3x + 5) -3

Answers

Answer:

Hey there!

10(6x-5)=60x-50

6(2x-3)-5x=12x-5x-18=7x-18

2x(5+4)=18x

-9(8x-5)=-72x+45

5-8(3x+5)-3=5-24x-40-3=-24x-42

Let me know if this helps :)

Can you please help me 4(x+4)=4x+16 justify solutions of an equation one variable

Answers

Answer:

any x value would work

Step-by-step explanation:

4(x+4)

4*x=4x

4*4=16

4x+16=4(x+4)

Solve for x 5(x + 3) = 4(x-3)
0-18
0-27
O-3
O-6

I need help ASAP

Answers

it’s 0-18 because x 5(5x + 3) = c 5

Thirty increased by 5 times a number equals 80. Write only the equation!!!!!

Answers

Answer:

5 times x + 30 = 80            (x=10)

Step-by-step explanation:

5 times 10 is 50

50+30 is 80

Solve 3[-x + (2 x + 1)] = x - 1.

Answers

The answer is -1. First you distribute the 3. Then u distribute the 3 again to the parentheses. Then solve it from there

Solve the following simultaneous equations :
1. x + 2y = 1, 3x - y = 17​

Answers

Answer: x= 5 and y= -2

Step-by-step explanation:

The answer for the question is x-5 and y-(-2)

Jamal bought donuts and cupcakes. He bought three times as many donuts as cupcakes. Donuts cost $0.50 each. Cupcakes cost $1.00 each. Jamal spent $10.00 total. How many donuts did Jamal buy? How many cupcakes did Jamal buy?

Answers

Answer:

Step-by-step explanation:

Let

x= Quantity of donuts

y= Quantity of cupcakes

He bought 3 times as many donuts as cupcakes

Donuts=y= 3x

Donuts=0.50 each

Cupcakes=1.00 each

PxQx + PyQy = 10.00

0.50(x) + 1.00(y) = 10.00

0.50x + 1.00(3x)=10.00

0.50x+3.00x=10.00

3.50x=10.00

Divide both sides by 3.50

x=10.00/3.50

=2.86

y=3x

y=3(2.86)

=8.58

Jamal bought 2.86 donuts and 8.58 cupcakes

Check:

PxQx + PyQy = 10.00

0.50(2.86) + 1.00(8.58) = 10.00

1.43 + 8.58=10.00

10.01=10.00

10.01 approximately 10.00

The three angles in a triangle are in the ratio 3:5:7. Find the largest angle in the triangle?

Answers

Answer: The largest angle is 7x

Step-by-step explanation:

Their sum is 180, so

3x + 5x + 7x = 180

5x = 180 --> x = 12

The largest angle is 7x, which is 7(12) = 84

A basketball coach will choose 5 players from a group of 9 players to start the next game. How many different groups of starting players are possible?

Answers

Answer:

45?

Step-by-step explanation:

In the expression 73 – 4•3+8, the first operation is...? A.an exponent
B.subtraction.
C.multiplication.
D.addition.

Answers

Answer:

C. multiplication

Step-by-step explanation:

P= ()

E=^

M=x

D=/

A=+

S=-

Given the function f(x)=3x-6 select all true statements that apply

Answers

Answer:

f(-4) = -18 and if f(x) = -9, then x = -1

Step-by-step explanation:

To find f(-4), we plug x = -4 into f(x) so f(-4) = 3 * (-4) - 6 = -12 - 6 = -18. To find x when f(x) = -9, we can write:

-9 = 3x - 6

-3 = 3x

x = -1

NEED HELLP ASAP !!!

Answers

Answer:

m<x = 48

m<y = 132

Step-by-step explanation:

Since x and y are supplementary angles, that means their sum is 180 degrees.

And we are given that y is 12 less than 3 times the measure of x.  With this information we can make a system of linear equations.

x + y = 180

y = 3x - 12

So now plug in the value of y into the first equation.

x + y = 180

x + (3x - 12) = 180

x + 3x = 192

4x = 192

x = 48

And then plug this computed value of x back into the first equation to find the measure of y.

x + y = 180

48 + y = 180

y = 180 - 48

y = 132

So the measures of the angles are as follows:

m<x = 48

m<y = 132

Cheers.

Janissa bought 50 cupcake cases for baking. She used 2/5 of the cases to bake vanilla cupcakes. She then used 5/6 of the remaining cases to bake chocolate cupcakes. How many cupcake cases does Janissa have left?

Answers

Jessica has 5 cupcake cases left.

First, divide 50 into groups of five. Next, subtract two groups of five from 50. Third, divide the remaining cases into groups of six. Finally, subtract 5 groups of six from the remains from the last subtraction equation.

The number of cupcake cases that Janissa has left will be 5.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Janissa bought 50 cupcake cases for baking.

She used 2/5 of the cases to bake vanilla cupcakes. Then the number of vanilla cupcakes will be

⇒ 50 x 2 / 5

⇒ 20 vanilla cupcakes

Then the remaining cupcake cases will be

⇒ 50 - 20

⇒ 30 cupcake cases

She then used 5/6 of the remaining cases to bake chocolate cupcakes. Then the number of chocolate cupcakes will be

⇒ 30 x 5 / 6

⇒ 25 chocolate cupcakes

Then the remaining cupcake cases will be

⇒ 30 - 25

⇒ 5 cupcake cases

Then the number of cupcake cases that Janissa has left will be 5.

More about the Algebra link is given below.

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please help!!! 100 points if correct!!! please actually answer
Instructions
In this experiment, you will be using two coins as a simulation for a real-world compound event.
Suppose that a family has an equally likely chance of having a cat or a dog. If they have two pets, they could have 1 dog and 1 cat, they could have 2 dogs, or they could have 2 cats.
What is the theoretical probability that the family has two dogs or two cats?

Describe how to use two coins to simulate which two pets the family has.

Flip both coins 50 times and record your data in a table like the one below.
(picture below)

Based on your data, what is the experimental probability that the family has two dogs or two cats?

If the family has three pets, what is the theoretical probability that they have three dogs or three cats?
How could you change the simulation to generate data for three pets?

Answers

Answer:

see below

Step-by-step explanation:

What is the theoretical probability that the family has two dogs or two cats? (1/2)

The choices are dd, dc, cd, cc

There are 4 choices = dd or cc/ total = 2/4 = 1/2

Let the heads of the coin be dogs and the tails of a coin be cats

Flip two coins and coin A is the first pet and coin B is the second pet

heads , heads = 10

heads, tails  14

tails heads  =13

tails tails =  13

          total 50

Experimental probability  2 dogs or 2 cats = ( hh, tt) /total = ( 10+13) /50 =                    23/50

If we had 3 pets  

what is the theoretical probability that they have three dogs or three cats?

ddd, ddc, dcd, dcc, ccc, ccd ,cdc, cdd

There are 8 options

 ddd or ccc/ total = 2/8 = 1/4

Let the heads of the coin be dogs and the tails of a coin be cats

Flip three coins and coin A is the first pet and coin B is the second pet Coin C be the third pet

Answer:

What is the theoretical probability that the family has two dogs or two cats? (1/2)

Experimental probability  2 dogs or 2 cats = 23/50

If the family has three pets, what is the theoretical probability that they have three dogs or three cats?

1/4=25%

Step-by-step explanation:

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