-8x-27=-7\left(1+2x\right)+2x

Answers

Answer 1

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

[tex]-8x-27=-7\left(1+2x\right)+2x[/tex]

Expand:

[tex]-8x-27=-7\times 1-7\times 2x+2x[/tex]

[tex]-8x-27=-7-12x[/tex]

Add 27 to both sides:

[tex]-8x-27+27=-7-12x+27[/tex]

[tex]-8x=-12x+20[/tex]

Add 12x to both sides:

[tex]-8x+12x=-12x+20+12x[/tex]

[tex]4x=20[/tex]

Divide both sides by 4:

[tex]\frac{4x}{4}=\frac{20}{4}[/tex]

[tex]x=5[/tex]


Related Questions

Which statement best describes the equation x5 + x3 – 14 = 0?
The equation is quadratic in form because it is a fifth-degree polynomial.
The equation is quadratic in form because the difference of the exponent of the lead term and the exponent of the middle term is 2.
The equation is not quadratic in form because it cannot be rewritten as a second-degree polynomial.
The equation is not quadratic in form because the exponent of the lead term is not the square of the exponent of the middle term.

Answers

Answer:

2.The equation is not quadratic in form because it cannot be rewritten as a second-degree polynomial.

Step-by-step explanation:

A quadratic equation is any equation that can be rearranged in standard form as :

ax² + bx + c = 0

Where a, b and c are coefficients and a ≠ 0.

Since for a quadratic equation, the power of x is a non negative integer, it is considered as a polynomial. A quadratic equation is a second-degree polynomial (i.e the gratest power of x is two).

The equation  is not a quadratic equation because it cannot be rewritten as a second-degree polynomial.

We want to see which statement describes the equation x^5 + x^3 - 14 = 0.

The correct option is:

The equation is not quadratic in form because it cannot be rewritten as a second-degree polynomial.

First, our equation:

x^5 + x^3 - 14 = 0.

Is a polynomial of degree 5 (the degree is equal to the maximum exponent).

Thus, this is not a quadratic equation.

Where a quadratic equation is a polynomial of degree 2.

Notice that we also can't replace x by another variable, such that it becomes a quadratic equation, then the correct statement is:

The equation is not quadratic in form because it cannot be rewritten as a second-degree polynomial.

If you want to learn more, you can read:

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9:45 on Tuesday Questions
Please Help Me Out! I am back with a handful of geometry questions. I would like you to answer this question and explain or show all of your work.
I will mark Brainlest for an accurate answer!
If the image is to blurry try clicking on it. If it is still to blurry, let me know in the comments. If you have any other questions about the problem, let me know.
Please only answer of you have a "real" answer and not a comment. Save your comments for the comment box!
If you would like to help me out some more, go check out my profile and answer the questions that have 9:45 on Tuesday Questions on them.
God Bless.

Answers

Answer:

The Alternate Interior Angles Theorem

Step-by-step explanation:

Given

∠3 ≅ ∠5

Angle 3 and angle 5 are alternate interior angles, and they are congruent.

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent.

what does a z-score tell you

Answers

Answer:

The value of the z-score tells you how many standard deviations you are away from the mean. ... A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean. A negative z-score reveals the raw score is below the mean average.

Step-by-step explanation:

Every Sunday, Nathan and his friends get together to play their favorite board game, The
Gems of Rawumba. Whoever collects the most gems wins! Players can earn gems by building
mines.
There is a proportional relationship between the number of mines Nathan builds, x, and the
number of gems he earns, y.

Answers

Answer: 2 gems per mine

Step-by-step explanation:

Solve 10/5 to find the constant in this question. The answer will be 2.

The constant of proportionality if, There is a proportional relationship between the number of mines Nathan builds, x, and the number of gems he earns, y, is 2 gems per mine.

What is proportionality?

When the corresponding elements of two numerical sequences, frequently experimental data, have a fixed ratio, this is referred to as the coefficient of proportionality, and the two sequences are said to be proportional or directly proportional.

Given:

There is a proportional relationship between the number of mines Nathan builds, x, and the number of gems he earns, y,

Values of x = 5, 6, 7, 10

Values of y = 10, 12, 14, 20

Calculate the constant of proportionality as shown below,

The constant of proportionality = y / x

The constant of proportionality = 10 / 5

The constant of proportionality = 2 gems per mine.

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The Martinez family is having their swimming pool filled with water by a professional company. A tanker truck can fill the pool at a rate of 150 gallons per minute. Use Scratchpad to show your work for the questions below. a. It took 30 minutes to empty the tank of the truck. How many gallons of water were in the tank? gallons Question 2 b. The pool holds 10,500 gallons of water. Ignoring the time it takes to refill the tank of the truck, how many minutes will it take to fill the pool with water? minutes

Answers

Answer:

Question 1, it was 4500 gallons of water in the tank

Question 2, it will take 70 minutes to fill the pool with water

Step-by-step explanation:

Question 1 explanation, just multiply 150 times the minutes

A tanker truck can fill the pool at a rate of 150 gallons per minute. It took 30 minutes to empty the tank of the truck. 4500 gallons of water is in the tank. If pool holds 10,500 gallons of water then it takes 2100 minutes of time to fill.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that,

A tanker truck can fill the pool at a rate of 150 gallons per minute.

It took 30 minutes to empty the tank of the truck.

Now we need to find number of gallons of water in the tank.

So to find it we have to multiply 150 with 30

4500 gallons of water were in the tank.

and the pool holds 10,500 gallons of water

Let us formulate a equation

Apply cross multiplication

150/30=10500/x

150x=315000

=2100 minutes

So 2100 minutes will it take to fill the pool with water.

Hence if a tanker truck can fill the pool at a rate of 150 gallons per minute. It took 30 minutes to empty the tank of the truck. 4500 gallons of water is in the tank. If pool holds 10,500 gallons of water then it takes 2100 minutes of time to fill.

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decrease 1440 by 80%

Answers

Answer:

288 will be ur ans

Step-by-step explanation:

1440 x 80/100

=1152

1440-1152

=288

Answer: vbtbbr

Step-by-step explanation:

Alan takes 3 minutes to draw a picture. Beatrice takes 4 minutes to draw a picture. If Alan and Beatrice start drawing pictures at the same time, how long will they draw before they can complete a picture at the same time?

Answers

Answer:

1.71 min

Step-by-step explanation:

Alan draws a picture in 3 minute

In one minute he draws:

1/3 of the picture

Similarly, Beatrice draws

1/4 of the picture in 1 minute

Together the draw in one minute:

1/3+1/4 = 7/12 of the picture

To complete the picture they need:

1:7/12 = 12/7 min or 1  5/7 min  or 1.71 min

What is 10+0.6 (pls show steps on how you got an awnser :) )

Answers

Answer:

10.6

Step-by-step explanation:

ok so, since 10 doesn't have any decimals you can just add the 0.6 to 10 so it makes 10.6.

You start at (2, 5). You move down 4 units and up 8 units. Where do you end?​

Answers

Answer:

(2,7)

Step-by-step explanation:

Answer: (2,9)

Step-by-step explanation:

No
calc
Nikki spends
of an hour driving to work each day and
1
otal
of an hour driving home. She works every day except Sunday.
2
0
How long does she spend travelling each week?
hours
26
o

Answers

Answer: 12 hours

2 hours every day 6 days a week 12 hours

6x2=12


3.2 Applications Worksheet
Solve each system by elimination.
1) 3x + 5y = 322
3x - 10y =8
2) -6x + 10y=-8
7x - 20y= 1

Answers

2(3x + 5y = 322)
6x+10y=966
3x-10y=8

Canceled out the positive 10y and the negative 10y. Subtract the rest and you will receive the answer for x.

2x= 958
/2 =/2
X= 479

Solve for y. I’m going to use the first equation to find y.

3x+5y=322
3x+5(479)=322
3x+2,395=322
-2,395=-2,395
3x= -2073
/3 = /3
X= -691

2(-6x+10y=-8)
-12x+20y=-16
7x-20y= 1

Canceled out the positive 10y and the negative 10y. Subtract the rest and you will receive the answer for x.

-19x=-17
/-19 = -19
X=0.89

Solve for y. I’m going to use the first equation to find y.

7x-20y= 1

7(0.89)-20y= 1
6.23-20y=1
-6.23 = -6.23
-20y = -5.23
/-20= /-20
y= -0.2651

2/9 of the members are boys in a community service club. if there are 95 more girls than boys, how many girls are there in club?

Answers

Answer:

133 girls

Step-by-step explanation:

Total members = x

Number of boys = [tex]\frac{2}{9}x[/tex]

Number of girls = [tex]\frac{2}{9}x +95[/tex]

Number of boys + Number of girls = total members

[tex]\frac{2}{9}x+\frac{2}{9}x+95=x\\\\\frac{2}{9}x+\frac{2}{9}x=x -95\\\\\frac{2}{9}x+\frac{2}{9}x-x=-95\\\\\frac{4}{9}x-x = -95\\\\\frac{4}{9}x-\frac{9}{9}x = -95\\\\\frac{-5}{9}x=-95\\\\x = -95*\frac{9}{-5}\\\\x=19*9[/tex]

x = 171

Number of boys = [tex]\frac{2}{9}*171[/tex] = 2 * 19 = 38

Number of girls = 38 + 95   = 133

Function f undergoes two transformations to become g. Express g(x) in terms of f(x)

Answers

Answer:

It is A on edge

Step-by-step explanation:

Answer:

g(x) = – f(x – 2)

Step-by-step explanation:

A swimming pool in Julie's neighborhood has lap lanes that are 55.5 yards long. Julie wants to swim 10 laps. What is the total distance that Julie will swim?

Answers

Answer:

1110 yards (if a lap is considered there and back)

Step-by-step explanation:

555(if it is just from a to b, and not back.)

Find the equation of the line through point (−1,4) and parallel to 5x+y=4

Answers

Answer:

3y-5x=none

Step-by-step explanation:

PLEASE HELP IDK WHAT TO DO

Answers

You have the correct pairings

(x,y) is any point on the line

m is the slope

(x1,y1) is the given point on the line

------------------------------

For example, if we said that the slope was m = 5 and the given point was (x1,y1) = (7,9)

Then,

y - y1 = m(x - x1)

y - 9 = 5(x - 7)

is the point slope form

The sum
4
7+
−1
3 is

Answers

Answer:

34

Step-by-step explanation:

47 + (-13)

47 - 13

34

Best of Luck!

A newsboy has $2.65, consisting of nickels, dimes and quarters.
If the number of dimes exceeded the number of nickels by 1, and
the number of quarters was equal to the number of nickels
decreased by one, what was the number of each kind of coin?

Answers

There will be 7 nickels, 8 dimes, and 6 quarters of each type of coin. If there were one more dime than nickel and two more quarters than nickels.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that a newsboy has $2.65, consisting of nickels, dimes, and quarters

From the condition, the number of dimes exceeded the number of nickels by 1, and the number of quarters was equal to the number of nickels decreased by one.

Let the number of nickels, dimes, and quarters will be n, d, and q respectively.

1 × n = 5 cents

1 × d = 10 cents

1 × = 25 cent

d = n + 1

q = n – 1

As a result,

$2.65 ×100 = 265 cents.

The obtained equations are,

5n + 10d + 25q =265

d = n + 1

q = n – 1

Replace d with n + 1 and q with n - 1 in the equation

5n + 10× (n + 1) + 25 × (n - 1) = 265

5n + 10n + 10 + 25n - 25 = 265

40n -15 = 265

40n = 280

n = 280/40

n = 7 nickels

Substituting the value of n in the equation we get

d = 8 dimes

q = 6 quarters

n + d + q = 265 cents

35 cents + 80 cents + 150 cents = 265 cents

Convert the units from cents to dollars as

265 /100 = $2.65

Thus, there will be 7 nickels, 8 dimes, and 6 quarters of each type of coin. If there were one more dime than nickel and two more quarters than nickels

Learn more about the arithmetic operation here:

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Is the number 7.787887888... a rational number ?

Answers

Answer: No, it is not rational (it is irrational)

If we had something like 7.78787878... where the "78"s go on forever, then it would be rational. This is called a repeating decimal.

Something like 7.787887888... does not have a repeating pattern. It has 7's and 8's, but the number of 8's seems to increase by 1 each time you list a 7. So this is why the given number is not rational.

Nathaniel's car used 10 gallons to travel 360 miles. How far can he travel on 16 gallons?

Answers

Answer:

576 miles per 16 gallons

Step-by-step explanation:

Step 1:

360 ÷ 10

Step 2:

36 miles per gallon

Step 3:

36 × 16

Answer:

576 miles per 16 gallons

Hope This Helps :)

Answer:

Nathaniel can travel 576 miles on 16 gallons.

Explanation:

Knowing that 10 gallons would be enough for 360 miles, we can divide 360 by 10 to get the amount of miles that can be driven for only ONE gallon.

360 divided by 10 is 36, so 36 is the amount of miles driven for one gallon. Now we can multiply 36 by 16 to get the amount for 16 gallons. 36 multiplied by 16 is 576. Nathaniel can travel 576 miles on 16 gallons.

please help i’m so lost

Answers

Me too I’m so confused sorry

what do you call the fixed line of a parabola? ​

Answers

Answer: directrix.

hoped this helped lmk if it did

A department store gives A $10 gift card to Every 20th customer and a $15 gift card to every 45th customer

Answers

15 gift card to every 45th customer

Solve for x
8 - x + 4x = 26

Answers

Answer:

6

Step-by-step explanation:

8 - x + 4x = 26

8+3x=26

3x=26-8

3x=18

x=18/3

x=6

The answer is x=6

Explanation

//PLEASE HELP\\

WILL GIVE BRAINLIEST


The town of Easy is mapped on a coordinate grid with the origin being at the statue before City Hall. KFC is located at the point (3, 7) and McDonalds is located at (-3, 7).


How far is it from KFC to McDonald?

A.5

B.6

C.89

D.36

Answers

Answer: It should be B.

Step-by-step explanation:

Paul,Linda,and Aaron make homemade cards. Paul can make 1 card for every 3 cards Linda makes. Linda can make 3 cards for every 2 cards that Aaron makes. During the week,Aaron makes 72 cards. How many more cards does Linda make than Paul during the week?

Answers

Answer:

Linda makes 72 more cards than Paul

during the week

Step-by-step explanation:

Here, we want to know how many cards Linda makes than Paul during the week.

We proceed as follows;

From the question;

If Paul makes 1 card, then Linda has made three

Now let’s get their relationship with Aaron;

If Aaron makes 2 cards , Linda has made three

Now since Aaron made 72 cards, Let’s say Linda has made x cards

Let’s get the value of x now

To get the value of x, we simply cross multiply;

2 - 3

72 - x

2 * x = 3 * 72

x = (3 * 72)/2 = 108 cards

Now recall , for every 3 cards of Linda, Paul made only 1;

So the number of cards Paul will make if Linda makes 108 will be 108/3 = 36

So the number of more cards that Linda makes than Paul during the week will be ; 108 -36 = 72 cards

Answer: 72

Step-by-step explanation:

Answer the quesion below:

Answers

Answer:

A=8.25

Step-by-step explanation:

the equation for area is

A=base×height

or

A= (3ft)(2.75)

Answer:

A= 8.25

Step-by-step explanation:

x + y = 7, for x





....

Answers

Answer:

x = -y + 7

    or

x = 7 - y

Step-by-step explanation:

x + y = 7

Step 1: Subtract y from both sides to get x alone.

x + y = 7

   -y    -y

x = 7 - y

Since x is alone and y is a variable & not a number, there's nothing else to do to the equation.

Hey there!☺

[tex]Answer:\boxed{x=-y+7}[/tex]

[tex]Explanation:[/tex]

[tex]x+y=7[/tex]

The first/last step we have is to add -y to both sides.

[tex]x+y+-y=7+-y\\x=-y+7[/tex]

[tex]x=-y+7[/tex] is your answer.

Hope this helps!☺

Select TWO expressions that have the same value as -4 - (-12).

-4 + 12

12-4

-4 - 12

4 + 12

12 - (-4)

Answers

Answer:

-4+12

12-4

Step-by-step explanation:

Expression 1:

-4 - (-12)=

-4+12=

8

Expression 2:

12-4=

8

Answer:

12-(-4)

Step-by-step explanation:

There are 4 white and 8 red roses in a bouquet. Find the ratios. The ratio of the number of red roses to the number of white roses

Answers

Given:

Number of white roses = 4

Number of red roses = 8

To find:

The ratio of the number of red roses to the number of white roses.

Solution:

Using the given information, the ratio of the number of red roses to the number of white roses is

[tex]\text{Required ratio}=\dfrac{\text{Number of red roses}}{\text{Number of white roses}}[/tex]

[tex]\text{Required ratio}=\dfrac{8}{4}[/tex]

[tex]\text{Required ratio}=\dfrac{2}{1}[/tex]

[tex]\text{Required ratio}=2:1[/tex]

Therefore, the required ratio is 2:1.

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