PLLZ HELP! Solve each given equation and show your work. Tell whether it has on solution, and infinite number of solutions, or no solutions, and identify each equation as an identify, a contradiction, or neither.
(a) 2x + 3x - 6 = 10 + 4x

(b) 17 + 5x = 23 + 4x - 6 + x

(c) 7x + 4 = 5x + 8 + 2x - 10

Answers

Answer 1

a. 2x+3x-6=10+4x

5x-6=10+4x

5x-4x=10+6

x=16

one solution


b. 17+5x=23+4x-6+x

17+5x=17+5x

infinite number of solutions


c. 7x+4=5x+8+2x-10

7x+4=7x-2

no solution

Answer 2

(a) 2x + 3x - 6 = 10 + 4x  ---> Answer: x = 16, it has one solution, it is an identity.

Adding the like terms on the same side of the equation to solve for x:

2x + 3x - 4x = 10 + 6

x = 16

(b) 17 + 5x = 23 + 4x - 6 + x ---> Answer: it has infinite number of solutions, it is a contradiction

Adding the like terms on the same side of the equation to solve for x:

5x - 4x - x = 23 - 17 - 6

5x - 5x = 6 - 6 (this equation is cancelling everything on each side so it can not be true no matter what value we assign, therefore it has infinite number of solution)

(c) 7x + 4 = 5x + 8 + 2x - 10 ---> Answer: no solution, its a contradiction.

Adding the like terms on the same side of the equation to solve for x:

7x - 5x - 2x = -10 + 8 - 4

7x - 7x = -6 (the terms of x are cancelled by each other, therefore no solution.


Related Questions

Compound Interest Question...

Answers

Answer:

Zombie population = 8 * 2^(number of hours)

Zombie population (after 24 hours) = 8 * 2^(24)

equals 8 * 16,777,216 = 134,217,728



Step-by-step explanation:


eduardo contributes 16% of his $82,400 annual salary to his 401(k) plan. what is his pre-tax income?

Answers

Eduardo's pre-tax income is calculated as: $69,216.

How to find the pre-tax income?

To find Eduardo's pre-tax income, we need to first calculate how much he contributes to his 401(k) plan.

We know that he contributes 16% of his $82,400 annual salary, so:

16% of $82,400 = 0.16 * $82,400

= $13,184

This means that Eduardo contributes $13,184 to his 401(k) plan each year. To find his pre-tax income, we need to subtract this amount from his annual salary:

$82,400 - $13,184 = $69,216

Therefore, Eduardo's pre-tax income is $69,216.

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Final answer:

Eduardo's pre-tax income is his annual salary of $82,400. His 401(k) contribution is 16% of this amount, but it does not reduce his pre-tax income.

Explanation:

Eduardo’s pre-tax income is the total amount he earns before any deductions such as his 401(k) contributions. Since he contributes 16% of his $82,400 annual salary to his 401(k) plan, we calculate the contribution amount and then affirm that it is part of his pre-tax income, which is the full $82,400. To find the contribution amount, we use the formula:

Contribution = (Percentage / 100) × Salary

Contribution = (16 / 100) × $82,400

Contribution = 0.16 × $82,400

Contribution = $13,184

Hence, Eduardo’s pre-tax income remains $82,400 for the year, not the amount after the contribution is subtracted.

An Uber fare in Columbus is $3.50 for the first ½ mile and additional mileage charged at a rate of $0.30 for each additional 0.1 mile. You plan to give the driver a $2 tip. How many miles can you ride for $15? Please show or explain your calculations.please i need help on this.

Answers

Answer:

[tex]\frac{11}{3}[/tex] miles

Step-by-step explanation:

Let the total miles traveled be x.

Now, for the first 0.5 miles total charge is = $3.50

Then, the remaining distance to be traveled[tex]=(x-0.5)[/tex] miles

For each additional 0.1 mile, the additional charge is $0.30

So, for [tex](x-0.5)[/tex] miles, the total additional charge will be[tex]=\frac{0.3}{0.1}(x-0.5) =3(x-0.5)[/tex]

Then, including the $2 tip, the total fare will be[tex]=3.50+3(x-0.5)+2[/tex]

Now, given that total fare is $15, so,

[tex]3.50+3(x-0.5)+2=15\\3.50+3x-1.5+2=15\\3x+4=15\\3x=11\\x=\frac{11}{3}[/tex]miles

Let's assume, total number of miles traveled after the first 0.5 mile  are x.

For 0.1 mile, the cost is $0.30

[tex]0.1\times 10 = 1 mile[/tex]

Hence, for 10 miles, cost is

[tex]0.30\times 10 = 3[/tex] dollars

Total amount incurred = $ 3.50 (fixed cost) + 3x (cost per mile) + 2( tip)

He gave a total of $ 15, hence

[tex]15=3.50+3x+2[/tex]

[tex]9.5=3x[/tex]

[tex]x=\frac{95}{30} =\frac{19}{6}[/tex] miles

Total miles traveled = [tex]\frac{19}{6} +\frac{1}{2}[/tex] =[tex]\frac{11}{3}[/tex] miles




Which linear system of equations does the matrix represent

M=[874]
[205]

Answers

Final answer:

The given matrix M = [874], [205] corresponds to the linear system of equations x = 874 and x = 205.

Explanation:

The given matrix M = [874], [205] represents a linear system of equations with one variable. Since the matrix has two elements arranged in a column, it represents two equations, each with one unknown variable. The system of equations that the matrix represents is as follows:

x = 874

x = 205

Here, x represents the unknown variable.

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Sierra left $4.50 as a tip for a waiter. This was 18% of the bill before the tip. How much was her total bill before tip?

Answers

The answer is:

4.50*0.18= 0.81

$4.50 × 18% ≈ 0.81


Echy~

In part a and b, use each of the digits 2, 3, & 4 exactly once.

a. Write a mixed number that has a terminating decimal, and write the decimal.


b. Write a mixed number that has a repeating decimal, and write the decimal.

Answers

The answer for a is 2 3/4 which will give you 1.5 .
The answer for b is 4 2/3 which will give you a repeating decimal of 2.666666667. Hope this helps.

Answer:

a) [tex]2\frac{3}{4}[/tex] = 2.75

b) [tex]4\frac{2}{3} [/tex]= 4.6666...

Step-by-step explanation:

We are given 3 digits: 2,3,4

A terminating decimal is a decimal which stops after some decimal or ends.

a) Mixed fraction = [tex]2\frac{3}{4} = \frac{11}{4}[/tex]

decimal expansion = 2.75

It can be clearly seen that the decimal expansion stopped after two decimal places.

b) Mixed fraction =  Mixed fraction = [tex]4\frac{2}{3} = \frac{14}{3}[/tex]

Decimal expansion = 4.666666...

It can be clearly seen that the decimal expansion is non terminating and does not stop.

Jay has $25 to spend at a comic book store. If he buys a collectors guide for &12, what is the greatest number of individual comics he can by at $2 each?

Answers

The greatest number of comic books Jay can buy for $2 each is seven, because 25 - 12 = 14 and 14/7 = 2.

After buying a collectors guide for $12, Jay can use the remaining $13 to purchase a maximum of 6 individual comics at $2 each.

Jay has a total of $25 to spend on comic books after purchasing a collectors guide for $12. To calculate the greatest number of individual comics he can buy at $2 each, we subtract the cost of the collector's guide from his total budget:

$25 - $12 = $13 remaining

Each comic book costs $2, so we divide the remaining amount by the cost of one comic book:

$13 / $2 = 6.5

Since Jay cannot buy half a comic book, he can purchase a maximum of 6 comics.

help solve this algebra problem please!

Answers

Answer:

a) (1, 109)

Step-by-step explanation:

Step 1: We need to graph the function f(x) = 3x^2 +1 from the interval (-4 to 6) on the x-axis

Step 2: Graph the function f(x) = 6, which is a horizontal line. From the interval [6, 9)

The range is nothing but the y - values.

The y values start from 1 and ends 109 at the interval -4 to 9

Here with I have attached the graph. Please have a look at it.

Thank you.

Consider the algebraic expression:

-z-7y+18x+4

Which of the follow is a constant in this expression?

Which of the following lists all the coefficients in this expression?

Answers

Coefficients are the numbers that are next to a variable(a letter in an expression). Therefore the coefficients would be 7 and 18 because they are both next to a variable (y and x).

I can’t exactly remember what a constant is but I think it is a number alone (not next to any variables) and they are ONLY separated by + and - not multiplication or division. In this case it would be all of the numbers that are in between the + or - (all of them.)

I also think a constant could be the variable next to the coefficient. Which would be y and x (next to 7 and 18).

I’m am so sorry I can’t remember what a constant is but I hope the coefficient helps:)

Answer:

Which of the following is a constant in this expression?

✔ 4

Which of the following lists all the coefficients in this expression?

✔ -1, -7, 18

Use long division to convert the rational number 1/8 to its equivalent decimal form.

Answers

Answer:

1/8 = 0.125 I hope this helps! Please give me brainiest!

Step-by-step explanation:

  0.125

8/1.000

  - 8

     20

     -16

        40

       -40

          0

1.8 you just divid both numbers

A rotation is shown in the drawing:

Which statement best describes the rotation?

A) clockwise 90-degree rotation
B) clockwise 270-degree rotation
C) Counterclockwise 90-degree rotation
D) Counterclockwise 270-degree rotation

Answers

The answer is B

We are going from figure X to figure X', it is rotating more than 90 degrees so it must be 270, and it is rotating to the right so it is clockwise

Why hello there

Your answer will be B

In th epicture we can see that Figure X moved clockwise in a 270 degree angle.

If my answer helped please mark me as brainliest and have the best day ever!

The midpoint of BC is (5, -2). One endpoint is B (3,4). What are the coordinates of endpoint C?

Answers

Let the midpoint of [tex]BC[/tex] be [tex]M(x_{_M};~y_{_M})[/tex].

Then [tex]x_{_M}=\dfrac{x_{_B}+x_{_C}}{2}[/tex] and [tex]y_{_M}=\dfrac{y_{_B}+y_{_C}}{2}[/tex].

We are given [tex]x_{_M}=5, y_{_M}=-2[/tex] and [tex]x_{_B}=3, y_{_B}=4[/tex].

[tex]5=\dfrac{3+x_{_C}}{2}\Rightarrow x_{_C}=7\medskip\\{-2}=\dfrac{4+y_{_C}}{2}\Rightarrow y_{_C}=-8[/tex]

[tex]C(7;-8)[/tex]

Answer:

The coordinates of endpoint C are (7,-8).

Step-by-step explanation:

Given information: Midpoint of BC is (5, -2) and B(3,4).

We need to find the coordinates of C.

Let the coordinate of C are (x,y).

If end points of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the midpoint of that segment is

[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Midpoint of BC is

[tex]Midpoint=(\frac{3+x}{2},\frac{4+y}{2})[/tex]

Midpoint of BC is (5,-2).

[tex](5,-2)=(\frac{3+x}{2},\frac{4+y}{2})[/tex]

On comparing both sides.

[tex]5=\frac{3+x}{2}[/tex]

[tex]10=3+x[/tex]

[tex]10-3=x[/tex]

[tex]7=x[/tex]

The value of x is 7.

[tex]-2=\frac{4+y}{2}[/tex]

[tex]-4=4+y[/tex]

[tex]-4-4=y[/tex]

[tex]-8=y[/tex]

The value of y is -8.

Therefore the coordinates of endpoint C are (7,-8).

What is the value of x?

Answers

2x+20=3x-30

x=50

2x+20=3x-30

x=50

2x+20=3x-30

x=50

2x+20=3x-30

x=50

I need to solve V=KT/P for K... Help!

Answers

the equation starts as
[tex]v = \frac{kt}{p} [/tex]

in order to solve for k first you must multiply each side by p. you must multiply each side by p as it is originally being divided, to get rid of it you must do the opposite operation.
[tex]v \times p = \frac{kt}{p} \times \frac{p}{1} [/tex]
you cross multiply and end up with
[tex]v \times p = kt[/tex]
now to leave k by itself you must divide by t
[tex] \frac{v \times p}{t} = \frac{kt}{t} [/tex]
the t cancels out or becomes 1 leaving you with the answer of
[tex] \frac{v \times p}{t} = k[/tex]

Hello there!

[tex]V=KT/P[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓

First you had to switch sides of the equation.

[tex]k\frac{t}{p}=v[/tex]

Then you multiply by p from both sides of the equation.

[tex]k\frac{t}{p}p=VP; P\neq0[/tex]

Simplify

[tex]tk=vp; p\neq0[/tex]

Divide by t from both sides of the equation.

[tex]\frac{tk}{t}=\frac{vp}{t}; P\neq0, T\neq0[/tex]

Simplify it should be the correct answer.

[tex]K=\frac{VP}{T}; P\neq0, T\neq0[/tex]

Answer⇒⇒⇒⇒K=VP/T; P≠0, and T≠0

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

Please need help on this not even sure on this

Answers

This is a rotation of 180° so (x, y) → (-x, -y)

The signs of the coordinates changed.

Answer: B

At 3:00 PM a man 138 cm tall casts a shadow 148 cm long. At the same time, a tall building nearby casts a shadow 199 m long. How tall is the building?

Answers

Final answer:

To find the height of the building, we can use the concept of similar triangles and set up a proportion. Substituting the given values and solving for x, we find the height of the building to be approximately 186.5 meters.

Explanation:

To find the height of the building, we can use the concept of similar triangles. Let's set up a proportion using the man's height and shadow length, and the building's height and shadow length. We have:

(Man's Height)/(Man's Shadow Length) = Building's Height/(Building's Shadow Length)

Substituting the given values, we have:

(138 cm)/(148 cm) = x/(199 m)

Cross-multiplying and solving for x, we find the height of the building to be approximately 186.5 meters.

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

Answers

Answer:

There is no solution



-3x + 4 = -3x +14

No solution

Luis se comió 5/12 de los pasteles y Antonio 3/12 de los mismos. ¿Que fracción de los pasteles se comieron?

Answers

*(Respuesta)* = [tex]\frac{8}{12}[/tex]

* (Explicación) * = El motivo por el que necesita agregar [tex]\frac{5}{12}[/tex] a [tex]\frac{3}{12}[/tex].

Espero que esto ayude

Persona que respondió: BangtanBoyScouts


Zoe has 2 ten-dollar bills, 4 one-dollar bills, 3 quarters, 5 dimes, and 8 pennies. How much money does she have?

Answers

This problem is essentially testing those how to read and how to pay attention to detail. The best way to approach this is to make a list.

If we break it down slowly, We see that we have 2 $10. This means $20. 4 $1 bills is equal to $4. 3 quarters is equal to $0.75. 5 dimes is equal to $0.50, and 8 pennies is equal to $0.08. If we make a list, we can easily add them together as so:


20+4+.75+.5+.08.


The total amount of money Zoe has is: $25.33



HELP ME PLEASE !!!!!!!!!!15 POINTS 

Sally consumed 2.5 gallons of water in one day. How many milliliters are equal to 2.5 gallons, if 1 liter = 1,000 milliliters and 1 gallon = 3.785 liters?
A.9.465 milliliters
B. 94.625 milliliters
C. 9,462.5 milliliters
D. 94,625 milliliter

Answers

C is the correct answer 3.785*2.5=9.4625 then multiply by 1000 and you get 9,462.5

Answer:

c

Step-by-step explanation:

What is the explicit formula for this sequence? −8, −3, 2, 7, …

Answers

It's an arithmetical sequence with [tex]a_1=-8,d=5[/tex]

So

[tex]a_n=a_1+(n-1)d\\\\a_n=-8+(n-1)\cdot5\\\\a_n=-8+5n-5\\\\\boxed{a_n=5n-13}[/tex]

What value of x makes the equation true?
12(4x−5)+52=10

Answers

12(4x-5)+52=10
48x-60+52=10
48x-8=10
48x=10+8
48x=18
x = 3/8

Your answer is 3/8.

Answer:

5

Step-by-step explanation:

took k12 test

Researchers find that there are 189 raccoons on an island. When they return a year later, they find that there are 473. What is the annual population growth rate for the raccoons?

Answers

Final answer:

The annual population growth rate for the raccoons is calculated using the formula which involves subtracting the initial population from the final population, dividing by the initial population, and then multiplying by 100%. The growth rate is approximately 150.26%.

Explanation:

To calculate the annual population growth rate for the raccoons, we use the following formula:

Growth Rate = (Final Population - Initial Population) ÷ Initial Population × 100%

Initial Population = 189 raccoons

Final Population = 473 raccoons

Plugging in the values we get:

Growth Rate = (473 - 189) ÷ 189 × 100%

Growth Rate = 284 ÷ 189 × 100%

Growth Rate ≈ 150.26%

Therefore, the annual population growth rate for the raccoons is approximately 150.26%.

Find the linear equations written in standard form. Select all that apply. x + y = –1 –3x = y
x + 4y = 0
y = 5x – 2
x = 3 – 0.1y
8x – 3y = 20

Answers

Answer:

Doing the assignment got all right answers x + y = –1, x + 4y = 0, 8x – 3y = 20

Step-by-step explanation:

The linear equations written in the standard form are x + y = -1, x + 4y = 0 and 8x – 3y = 20.

What are Linear Equations?

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Standard form of a linear equation is, Ax + By = C, where A, B and C are integers.

We have to select all the linear equations which are of the form as given above.

x + y = -1 is in standard form, where A = 1, B = 1 and C = -1

x + 4y = 0 is in standard form, where A = 1, B = 4 and C = 0

8x – 3y = 20 is in standard form, where A = 8, B = -3 and C = 20

Other equations  –3x = y, y = 5x – 2 and x = 3 – 0.1y are not in the standard form.

Hence the equations in the standard form are x + y = -1, x + 4y = 0 and 8x – 3y = 20.

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What is 1 7/8 times 5/6

Answers

[tex]Solution, 1\frac{7}{8}\cdot \frac{5}{6}=1\frac{9}{16}\quad \left(\mathrm{Decimal:\quad }\:1.5625\right)[/tex]

[tex]Steps:[/tex]

[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 1\frac{7}{8}=\frac{15}{8}, =\frac{15}{8}\cdot \frac{5}{6}[/tex]

[tex]\mathrm{Cross-cancel\:common\:factor:}\:3, =\frac{5}{8}\cdot \frac{5}{2}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}, =\frac{5\cdot \:5}{8\cdot \:2}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:5\cdot \:5=25, =\frac{25}{8\cdot \:2}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:8\cdot \:2=16, =\frac{25}{16}[/tex]

[tex]\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad \frac{25}{16}=1\frac{9}{16}, =1\frac{9}{16}[/tex]

Hope this helps!!!

For which value of x is the figure a rectangle?
A. x = -1
B. x = 11
C. x = 11.5
D. x = 22.25

Answers

The corner is 90° in a rectangle so the two must add up to it.

The answer is B, because

11×3=33
5×11=55+2=57
57+33=90

Since the two add up to 90° This makes B the correct answer.

Answer:

The value of x is 11.

Option (B) is correct.

Step-by-step explanation:

By using the property of the rectangle .

In rectangle all four angles are 90° .

As the figure given in the question .

Thus

(5x + 2) + 3x = 90

Open the bracket

5x + 2 + 3x = 90

8x + 2 = 90

8x = 90 - 2

8x = 88

[tex]x = \frac{88}{8}[/tex]

x = 11

Therefore the value of x is 11.

Option (B) is correct.

plz answer this question

Answers

A.)    1.3968253968254

B.) 8.75

C.)1.94

D.)2.962962962963

Triangle PQR has vertices (2,2) (5,-4) and (-4,-1). What type of triangle is triangle PQR

Answers

It is a scalene triangle.

Find the product!!!!!!!

Answers

Hello there!

[tex]-\frac{2}{9}*\frac{1}{5}[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓

First you had to multiply by the fractions.

[tex]-\frac{2*1}{9*5}[/tex]

Then you had to multiply by the numbers.

[tex]2*1=2[/tex]

[tex]-\frac{2}{9*5}[/tex]

You can also multiply by the numbers again.

[tex]=-\frac{2}{45}[/tex]

Answer⇒⇒⇒⇒⇒⇒=-2/45

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

-2/45 is the correct answer.

Simplify square root of 40 divided by 3

Answers

when you divide them in the square root you get 3.651.... but just put 3.65
3.65 is the correct and
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