What is "the sum of twice a number and six is the same as three subtracted from the number itself"?

Answers

Answer 1

Answer:

x=-1

Step-by-step explanation:

2x+6=3-x

Step 1: Simplify both sides of the equation.

2x+6=3−x

2x+6=3+(−x)

2x+6=−x+3

Step 2: Add x to both sides.

2x+6+x=−x+3+x

3x+6=3

Step 3: Subtract 6 from both sides.

3x+6−6=3−6

3x=−3

Step 4: Divide both sides by 3.

3x/3=−3/3

x=−1

Answer:

x=−1


Related Questions

find the perimeter of the triangle? what does 2 represent in the triangle?​

Answers

Answer:

i  got  11.8 and what do  u mean by the 2, do u mean the 2 strokes, that means that  they  are equal

Step-by-step explanation:

Answer:

6 + 5[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Since the triangle is isosceles then the 2 marked sides are congruent.

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Thus perimeter (P) is the sum of the 3 sides

P = [tex]\sqrt{20}[/tex] + 3 + [tex]\sqrt{20}[/tex] + 3 + [tex]\sqrt{5}[/tex]

  = 2[tex]\sqrt{20}[/tex] + 6 + [tex]\sqrt{5}[/tex]

  = 2([tex]\sqrt{4(5)}[/tex] ) + 6 + [tex]\sqrt{5}[/tex]

  = 2 ( [tex]\sqrt{4}[/tex] ×  [tex]\sqrt{5}[/tex] ) + 6 + [tex]\sqrt{5}[/tex]

  = 2(2[tex]\sqrt{5}[/tex] ) + 6 + [tex]\sqrt{5}[/tex]

  = 4[tex]\sqrt{5}[/tex] + 6 + [tex]\sqrt{5}[/tex]

  = 6 + 5[tex]\sqrt{5}[/tex]

The equation
= reserve rate shows the relationship between the
money multiplier
reserve rate and the money multiplier, regardless of their values.
A. True
B. False

Answers

Answer:

true

Step-by-step explanation:

Answer: true

Step-by-step explanation:

ap3x

You are taking a multiple-choice test that has six questions. Each of the questions has three answer choices, with one correct answer per question. If you select one of these three choices for each question and leave nothing blank, in how many ways can you answer the questions?

Answers

Answer:

729 ways

Step-by-step explanation:

Given

Number of questions = 6

Choices = 3

Required

Number of ways of answering the questions

For each of the 6 questions;

There are 3 possible ways of selecting an answer;

The possible ways for the 6 questions is:

[tex]Possible\ Ways = 3 * 3 * 3 * 3 * 3 * 3[/tex]

[tex]Possible\ Ways = 729[/tex]

Hence, there are 729 ways of answering the question

Jeff is baking a cake. The recipe says that he has to mix 32 grams of vanilla powder to the flour. Jeff knows that 1cup of the vanilla powder has the mass of 128 grams. He added 2/3 of a cup of vanilla powder to the flour. Should Jeff add more vanilla powder to make the exact recipe, or did he go over and by what amount?

Answers

Answer:

Jeff added 52 grams more

Step-by-step explanation:

GivenRequired vanilla = 32 gramsOne cup = 128 gramsUsed = 2/3 of a cupSolution

How much is 2/3 cup:

2/3*128 = 84 grams

Jeff added 84 grams instead of 32 grams, so he added:

84 - 32 = 52 grams more of vanilla powder than required

Find the coordinates of
the missing endpoint if M
is the midpoint of AB.
A(4, -8) and M(5,-2)

Answers

Answer:(6,-2)

Step-by-step explanation:

M is the midpoint of AB then ,

M = [tex]\frac{A+B}{2}[/tex]

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

[tex]10=x+4[/tex]  ,      [tex]-4=y-2[/tex]

[tex]x=6[/tex]          ,      [tex]y= -2[/tex]

so, B= (6,-2)

The required endpoint is given as (6, 4 ).

Given that,
To determine the coordinates of the missing endpoint if M is the midpoint of AB. A(4, -8) and M(5,-2).

What is the midpoint?

The midpoint is that point the line whose distance from both the ends of the line is equal.

Here,
We have given two coordinates one of the endpoints of AB and the other is midpoint M i.e. A(4, -8) and M(5,-2).
Definition of midpoint says,
x = [x₁ +  x₂] / 2 ; y = [y₁ + y₂] / 2
x₁ = 4, x = 5 , y₁ = -8, y = -2
now,
5 = [4 + x₂] / 2 ; -2 = [-8 + y₂] / 2
x₂ = 10 - 4 ; y₂ = -4 + 8
x₂ = 6 : y₂ = 4

Thus, the required endpoint is given as (6, 4 ).

Learn more about midpoints here: https://brainly.com/question/28224145
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Which of the following statements is true? (8.2D)

Answers

Answer:

Where is the statement

1. What is happening when you are multiplying fractions?

Answers

Answer:

To multiply fractions, first we simplify the fractions if they are not in lowest terms. Then we multiply the numerators of the fractions to get the new numerator, and multiply the denominators of the fractions to get the new denominator.

pls give brainliest

1 1/2 * 14 Can you explain please i really don't remember how to multiply fractions

Answers

Answer:

21 or 21/1 or 42/2

Step-by-step explanation:

1. you need to change 1 1/2 to a uneven fraction

1 1/2 to 3/2

2. 3/2 * 14/1

3. Multiply across - 3/2 * 14/1 = 42/2

4.Then simplify: 21

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{21}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{1 \frac{1}{2} \times 14}[/tex]

Convert mixed fraction into improper fraction

⇒[tex] \sf{ \frac{2 \times 1 + 1}{2} \times 14}[/tex]

⇒[tex] \sf{ \frac{2 + 1}{2} \times 14}[/tex]

⇒[tex] \sf{ \frac{3}{2} \times 14}[/tex]

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term

⇒[tex] \sf{ \frac{3 \times 14}{2 \times 1} }[/tex]

⇒[tex] \sf{ \frac{42}{2} }[/tex]

Divide 42 by 2

⇒[tex] \sf{21}[/tex]

Hope I helped!

Best regards!!

PLEASE HELP! WILL MARK BRAINLIEST: How many terms of the arithmetic sequence -1, 2, 5,… must be added to get 609?

Answers

Answer:

OK i am 13 and want to help but I am not sure how to do it but I think if you find a patter then divide it by 609 it might work

Step-by-step explanation:

The number of the terms will be 20 to get the sum of 609.

What is an arithmetic sequence?

An arithmetic sequence is a series of numbers in which the difference between the next term to its previous term remains constant for the whole series. This difference is called a common difference.

Given sequence is -1, 2, 5,… the sum is 609.

The number of the terms will be calculated by using the sum formula;-

Sn = ( n / 2 ) [ ( 2a + ( n - 1 )d ]

609 = ( n / 2 ) [ ( 2 x -1 ) [ ( n - 1 ) x 3 ]

609 = ( n / 2 ) [ ( -2 + 3n - 3 ) ]

609 = ( n / 2 ) [ ( -5 + 3n ) ]

1218 = -5n + 3n²

3n² -5n -1218 = 0

n = 20

n = -21

Therefore, the number of the terms will be 20 to get the sum of 609.

To know more about arithmetic series follow

https://brainly.com/question/6561461

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What is this 5n+6+(−7n)

Answers

Answer:

4n

Step-by-step explanation:

1. -7n-5n= -2n

2. -2n + 6= 4n

Answer:

-2 + 6

Step-by-step explanation:

Hopefully I helped :) Sorry if i didn't atleast i tried !

glynis drove a golf ball from a point 126 yd north of the ninth hole to a point 53 yd south of the hole. How far did the ball travel?

Answers

Answer:

179 yds traveled in total.

Step-by-step explanation:

If the ball was 126 yd north of the ninth hole then it would be 126 yd to the hole.

Then you would have to go another 53 yd south to get to the ball.

So if you add the two together then it would be 179 yds traveled.

7. Erica’s piggy bank has quarters and nickels in it. The total number of coins in the piggy bank is 50. Their total value is $8.90. How many of each type are in the piggy bank?

Answers

Answer:

33 quartes and 5 nickels

Step-by-step explanation:

I think that the answer is 33 and 5

Over a period of 12hours the temperature dropped 36° ° F. What was the average change in temperature in one hour?

Answers

divide the temperature by the number of hours

36/12

answer: 3 degrees

some plz help me ! I don’t get this & plz explain it, thank you.

Answers

Answer:

Hey there!

[tex]\sqrt{5}= 2.24\\\sqrt{32}= 5.66\\\sqrt{70}=8.37[/tex]

Let me know if this helps :)

Place the LETTER of each value in its location in the real number system below

Answers

Answer:

Rational numbers are; A, E, F, I

Integers are; H and D

Whole numbers are J and B

Natural numbers is G

Please find attached the location of the letters on the real number system

Step-by-step explanation:

Rational numbers are numbers that can be expressed as the ratio, a/b, of two numbers as a/b where a and b are integers

Integers are the negative and positive whole numbers

Whole numbers are the positive counting numbers from 0 and above

Natural numbers are the positive counting  numbers, sometimes including 0.

Consider points R, S, and T. Point S is in the middle. Point R is below and to the left of point S. Point T is below and to the right of point S. Which statement is true about the geometric figure that can contain these points? No line can be drawn through any pair of the points. One line can be drawn through all three points. One plane can be drawn so it contains all three points. Two planes can be drawn so that each one contains all three points.

Answers

Answer:

Answer:One plane can be drawn so it contains all three points.

Step-by-step explanation:

Took the test :P

One plane can be drawn, so it contains all three points. Then the correct option is C.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space.

Consider points R, S, and T. Point S is in the middle.

Point R is below and to the left of point S. Point T is below and to the right of point S.

Let the coordinate of the S is at origin that is (0, 0)

Then the coordinate of R and T with respect to S will be (-x, -y) and (x, -y).

One plane can be drawn, so it contains all three points.

Then the correct option is C.

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

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Solve for a.
3a + 15 = -9

Answers

Answer:

-8

Step-by-step explanation:

isolate the 3a by subtracting 15 from 9 which gives you -24 then divided 3a by -24 which gives you -8

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{a = - 8}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{3a + 15 = - 9}[/tex]

Move 15 to right hand side and change its sign

⇒[tex] \sf{3x = - 9 - 15}[/tex]

Calculate

⇒[tex] \sf{3x = - 24}[/tex]

Divide both sides by 3

⇒[tex] \sf{ \frac{3x}{3} = \frac{ - 24}{3} }[/tex]

Calculate

⇒[tex] \sf{x = - 8}[/tex]

Hope I helped!

Best regards! :D

is - 3/10 rational or irrational?

Answers

Answer:

rational

Step-by-step explanation:

Answer:

The fraction 3/10 is a rational number. All fractions are rational numbers.

Answer please?
Quick.

Answers

I've labeled where the vertex is and where the parabola should be. I recommended using this online calculator called desmos. Super useful!

Alyssa bakes cookies for the bake sale. 35% of the cookies are chocolate chip. If 56 of the cookies are chocolate chip, how many cookies did she bake in all?

Answers

Answer:

She bakes 160 cookies in all.

Step-by-step explanation:

We are given that Alyssa bakes cookies for the bake sale. 35% of the cookies are chocolate chip and 56 of the cookies are chocolate chip.

Let the total number of cookies baked by Alyssa be 'x'.

Number of chocolate chip = 56

So, according to the question;

35% of total cookies = 56

35% of x = 56

[tex]\frac{35}{100} \times x = 56[/tex]

[tex]x=\frac{56\times 100}{35}[/tex]

[tex]x= 8 \times 20[/tex] = 160 cookies

Hence, Alyssa bakes 160 cookies for the bake sale.

Whats 3/z = 2/5. Please HELP!! Due in 20 minutes!!!

Answers

Step-by-step explanation:

Hey there!!

Given,

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

Cross multiply.

15 = 2z

Therefore, z= 15/2

Hope it helps..

Answer:

z = 7.5

Step-by-step explanation:

3/z = 2/5

then:

3*5 = 2z

15 = 2z

15/2 = z

z = 7.5

Check:

3/7.5 = 2/5

How can you determine if a relation represented as a set of ordered pairs
is a function? Explain your reasoning.

Answers

Answer:

Hey there!

Using the vertical line test. In a function, one x value only has at most one y value.

Let me know if this helps :)

two fifths of a number​

Answers

Answer:

2/5x

Step-by-step explanation:

Step 1: Write out "two fifths" in number form

*This becomes a fraction*

2/5

Step 2: Write out "a number" in number form

*This is a variable*

x

Step 3: Combine "of a"

*This means multiply}

2/5x

b) The price of an electric fan is fixed 20% above its cost price. When it is sold allowing
18% discount, there is a loss of Rs 20. Calculate the marked price and the selling price
of the fan.

Answers

Answer:

[tex] \boxed{ \boxed{ \sf {Marked \: price \: = Rs \: 1500}}}[/tex]

[tex] \boxed{ \bold{ \boxed{ \sf{Selling \: price = \: Rs \: 1230}}}}[/tex]

Step-by-step explanation:

Let Cost price ( C.P ) be x

Finding the Marked price and selling price

Marked price = [tex] \sf{x + 20\% \: of \: x}[/tex]

⇒[tex] \sf{x + \frac{20}{100} \times x}[/tex]

⇒[tex] \sf{ \frac{x \times 100 + 20x}{100} }[/tex]

⇒[tex] \sf{ \frac{120x}{100} }[/tex] ⇒ ( i )

Selling price = [tex] \sf{marked \: price \: - 18\% \: of \: marked \: price}[/tex]

⇒[tex] \sf{ \frac{120x}{100} - \frac{18}{100} \times \frac{120x}{100} }[/tex]

⇒[tex] \sf{ \frac{120x}{100} - \frac{54x}{250} }[/tex]

⇒[tex] \sf{ \frac{120x \times 5 - 54x \times 2}{500} }[/tex]

⇒[tex] \sf{ \frac{600x - 108x}{500} }[/tex]

⇒[tex] \sf{ \frac{492x}{500} }[/tex] ⇒ ( ii )

Finding the value of x ( Cost price )

[tex] \sf{loss = cost \: price - selling \: price}[/tex]

⇒[tex] \sf{20 = x - \frac{492x}{500} }[/tex]

⇒[tex] \sf{20 = \frac{x \times 500 - 492x}{500} }[/tex]

⇒[tex] \sf{20 = \frac{8x}{500} }[/tex]

⇒[tex] \sf{8x = 10000}[/tex]

⇒[tex] \sf{x = \frac{10000}{8} }[/tex]

⇒[tex] \sf{x = \: Rs \: 1250}[/tex]

Value of x ( cost price ) = Rs 1250

Now, Replacing the value of x in ( i ) in order to find the value of marked price

[tex] \sf{marked \: price = \frac{120x}{100} }[/tex]

⇒[tex] \sf{ \frac{120 \times 1250}{100} }[/tex]

⇒[tex] \sf{ \: Rs \: 1500}[/tex]

Replacing value of x in ( ii ) in order to find the value of selling price

[tex] \sf{selling \: price = \frac{492 \: x}{500} }[/tex]

⇒[tex] \sf{ \frac{615000}{500} }[/tex]

⇒[tex] \sf{ \: Rs \: 1230}[/tex]

Thus , Marked price of the fan = Rs 1500

Selling price of the fan = Rs 1230

Hope I helped!

Best regards!!

Find the number of possible outcomes. A sandwich shop has three types
of sandwiches': ham, turnkey, and chicken.

Answers

Answer:

384 possible combinations are available.

Step-by-step explanation:

Types of sandwiches = 3

Types of bread = 2

Available toppings = 6

Choices for each topping = 2

Total combinations available = 3.2.2.2.2.2.2.2

                                             = 3(128)

                                               = 384

What is 3.30 divided by -2.00?

Answers

Answer:

-1.65

Step-by-step explanation:

3.3/(-2)=-1.65

Write the number marked with an arrow on the number line below as an improper (top-heavy) fraction.

Answers

Answer: 33/5

===============================================

Explanation:

Start at 6 and count the small tickmarks to see that it takes 5 spaces to go from 6 to 7 on the number line.

So each small tickmark represents 1/5 of a unit.

The arrow is 3 ticks away from the 6, so we add on 3/5 to 6 getting the mixed number 6 + 3/5 = 6 & 3/5

The 6 is the whole part, while 3/5 is the fractional part.

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

Let's convert to an improper fraction

6 & 3/5 = 6 + 3/5

6 & 3/5 = 6*(5/5) + 3/5

6 & 3/5 = 30/5 + 3/5

6 & 3/5 = (30+3)/5

6 & 3/5 = 33/5

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

You could also use the formula

a & b/c = (a*c + b)/c

to get

6 & 3/5 = (6*5 + 3)/5

6 & 3/5 = 33/5

The answer is 33-5 !!

please help!! Thank youu!

Answers

Answer:

$260

Step-by-step explanation:

.
4. Find the difference. (1 point)
2.004 -1.34 - ?
O 0.764
0.664
O 1.344
O 1.364

Answers

It’s the 2nd bubble, 0.664

A square patio has an area of 122 square feet. How long is each side of the patio to the nearest 0.05?

Answers

Should be About 25 feet as your answer
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