Solve the equation, justify each step with an algebraic property
-7=-1+ x/3

Answers

Answer 1
-7=-1+x/3
-7+1=-1+x/3+1 Additive property of equality
-6=x/3 Combine Like Terms
-6(3)=x/3(3) Multiplicative property of equality
-18=x           Distribution

Hope this helped!
Answer 2
Final answer:

The solution to the equation -7=-1+ x/3 is obtained by adding 1 to both sides, then multiplying both sides by 3 to solve for x. This yields x = -18.

Explanation:

To solve the equation -7=-1+ x/3, we can first isolate the x term using the addition and multiplication properties of equality.

First, add 1 to both sides to cancel out -1 from the right side of the equation. This gives us -6= x/3. Then, multiply both sides by 3 to solve for x. This gives us -18=x.

Hence, the solution to the equation -7=-1+ x/3 is x=-18.

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Related Questions

what is 0.14, 1/8, and 1.9% ordered from least to greatest?

Answers

First change 1/8 and 1.9% to a decimal.
1/8 = .125
1.9% =  .019
Now lets order them.
To order them we look at the first number after the decimal and compare. We see that 0.14 has a 1 and .125 has a 1 and .019 has a 0. Since 0 is less than the others it is first in our list. So 1.9% is first. Now lets look at .14 and .125.We look at the second number, which .14 has a 4 and .125 has a 2 so since 2 is less than 4 that means .125 1/8 is next in our list and then the only one we have left is .14 so that is last in our list

Our List / Order
.019, .125, .14
1.9%, 1/8, .14

To order 0.14, 1/8, and 1.9% from least to greatest, we first convert them all to decimal form, which gives us 0.14, 0.125, and 0.019 respectively. The ordered list from least to greatest is 1.9%, 1/8, 0.14.

The question requires ordering the numbers 0.14, 1/8, and 1.9% from least to greatest. First, we convert all numbers to decimal form: 0.14 remains the same, 1/8 is equivalent to 0.125, and 1.9% is the same as 0.019 when converted to decimal form. Now, we have 0.14, 0.125, and 0.019. Ordering these decimals from least to greatest, we get 0.019, 0.125, and 0.14.

Therefore, when ordered from least to greatest, 1.9%, 1/8, and 0.14 become 1.9%, 1/8, and 0.14 respectively.

how would you simplify 9v-12v

Answers

9v - 12v

Simply pretend as if there was no "v."

What is 9-12?

9 - 12 = -3

So, 9v - 12v = -3v

~Hope I helped!~
You can simplify 9v and -12v because they are like terms. To combine like terms, add up the coefficients and keep the common variable(s) and exponent.

9v - 12v = (9 - 12)v = -3v

So, -3v is the answer.

Which statement is true about a line and a point?

A point and a line have length as a dimension to measure.
A point is a location, and a line has many points located on it.
A line and a point cannot lie on the same plane.
A line and a point cannot be collinear.

pls help :(

Answers

Since a point is literally a point, it does not have a length. A point is a location, and a line has infinite points on it, so 2 could be correct. For the third one, they can lie on the same plane as the point could be on the line. Lastly, since collinear means on the same line (3 or more points) and there are many points (locations) on a line, a point can be on a line and therefore collinear.

Therefore, 2 is right

Answer:

B. A point is a location, and a line has many points located on it.

Step-by-step explanation:

Twice a number increased by 3 is 45. What is the number?

Answers

135 because 45x3=135 at least I'm sure this is what you mean

2N+3=45

2N = 42

N = 42/2 = 21

N = 21

What is the unit rate for 3 inches of rain in 6 hours?

Answers

You would multiply 3*6
1/2 (.5) inches an hour

mrs. jenkins was arranging chairs for a school awards assembly. each row contained 15 chairs. if there were 21 rows many chairs had to be arranged?

Answers

315 is the answer to this question

Answer:  315  chairs had to be arranged .

Step-by-step explanation:

Given : Mrs. Jenkins  was arranging chairs for a school awards assembly.

Number of chairs in each row = 15

Then by using MULTIPLICATION OPERATION, the number of chairs in 21 rows :-

[tex]15\times21=315[/tex]

Therefore, the total number of chairs had to be arranged =315

Choices are associative property and commutative property opposite of a sum property

Answers

It would be associative property because the order of the numbers stayed the same

Is -2.74 a rational number?

Answers

yes, in mathematics, a rational number is any numberthat can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.
Yes -2.74 is a rational number a negative number is a rational number always then 2.74 is not is a positive number so it's never rational

Huda made 8 matching bracelets. She used 128 beads in all. How many beads did she use per bracelet? 10 beads per bracelet 12 beads per bracelet 14 beads per bracelet 16 beads per bracelet

Answers

The answer is sixteen. (16) 


128 / 8=16

If Huda made 8 matching bracelets. She used 128 beads in all. Then 16 beads she used per bracelet.

What is Division?

A division is a process of splitting a specific amount into equal parts.

Given,

The number of beads Huda used are one hundred twenty eight

Number of beads=128

The number of bracelets huda made by using 128 beads is 8 bracelets.

We have to find in each bracelet how many beads Huda used.

This can be achieved by division.

We have to split 128 beads into eight groups.

128/8=16

In each group has 16 beads. Which means each bracelet has 16 beads.

Hence 16  beads she used per bracelet.

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The function m=30-3r represents the amount m (in dollars) of money you have after renting r video games.

Find the domain and the range of the function. Is the domain discrete or continuous? Explain.

Answers

The domain of the equation are all the possible values of the independent variables that would make the equation reasonable, possible or true. In this item, the independent variable is r. This could take a value of 0 up to the point when m is equal to zero.
        m = 30 - 3r = 0
              r = 10

The domain is therefore [0, 10]. 

The range is the value of the dependent variable which would be from 0 to the point when no video game is played. This is, [0, 30]. 

The function is discrete because r and m cannot take every value in the number line. 

Domain and Range of the function are  [tex][0, 10] \; \&\; [0,30][/tex] and it is a discrete function.  

Explanation:

Given: The function [tex]m=30-3r[/tex] represents the amount [tex]m[/tex] (in dollars) of money you have after renting [tex]r[/tex] video games.

According to question,

Function is  [tex]m=30-3r[/tex].

Domain of function is calculated as [tex]30-3r=0[/tex]

                                                                 [tex]-3r=-30\\[/tex]

                                                                     [tex]r=\frac{-30}{-3} \\r=10[/tex]

Domain of function is [tex][0, 10][/tex].

Now, range of the function is the value which is dependent variable on domain of the function.

Range of the function is [tex][0,30][/tex].

Here, The given function  [tex]m=30-3r[/tex] is discrete because the values of  [tex]r[/tex] and [tex]m[/tex] cannot take every value in the number line.

Therefore, Domain and Range of the function are  [tex][0, 10] \; \&\; [0,30][/tex] and it is a discrete function.  

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the apartment complex has 20 apartment per buildings 4 apartment are 3 bedroom apartment, 7 are 2 bedroom unit,and 9 apartment are 1 bedroom units.if the apartment complex builds 50 buildings how many 3 bedroom units would they have?

Answers

There would end up being 1000 apartments and 200 3 bedrooms apartments
Final answer:

If each building in the apartment complex has 4 three-bedroom units and they build 50 buildings, there would be 200 three-bedroom apartments total.

Explanation:

To answer how many 3-bedroom apartments would be in the complex if they built 50 buildings, start by considering the number of 3-bedroom apartments in one building. You've advised that this number is 4. Thus, to find the total number of 3-bedroom apartments in 50 buildings, you would multiply 4 (the number of 3-bedroom apartments per building) by 50 (the number of buildings). This calculation yields: 4 * 50 = 200. So, there would be 200 three-bedroom apartments in the complex if 50 buildings were constructed.

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Triangle PQR is transformed to similar triangle P’Q’R’:

A coordinate plane is shown. Triangle ABC has vertices A at 2 comma 6, B at 2 comma 4, and C at 4 comma 4. Triangle A prime B prime C prime has vertices A prime at 1 comma 3, B prime at 1 comma 2, and C prime at 2 comma 2.

What is the scale factor of dilation?
1 over 2
1 over 3
1 over 4
1 over 5

Answers

Triangle ABC was dilated by a scale factor of 1/2 to form similar triangle P’Q’R’.

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Dilation is the increase or decrease in the size of a figure by a scale factor.

Triangle ABC was dilated by a scale factor of 1/2 to form similar triangle P’Q’R’.

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When a fraction of 17 is taken away from 17 what remains exceeds one-third of seventeen by six.

Answers

1/3x17/1=51/1 that's how you do it by explaining

Answer:

The fraction taken away from 17 is [tex]\frac{16}{3}[/tex]

Step-by-step explanation:

The simplest way to solve this word problem is to set to equations equal to one another and solve the missing fraction.

The one side of the equation is 17 subtracted by an unknown fraction.

The other side is one third of seventeen added to 6.

[tex]17-x=\frac{1}{3}(17)+6\\x=17-6-\frac{1}{3}(17)\\x=11-\frac{17}{3} \\x=\frac{33}{3} -\frac{17}{3}\\x=\frac{16}{3}[/tex]

Anybody know this answer ?

Answers

xy^2/(x^3 y^3)

1/(x^2 y) is the answer

Please find the value of x

Answers

4x+26 = 12x-38

4x+64=12x

64 = 8x

x = 64/8 = 8

x = 8

Because the angles are opposite, the value is the same so an equation could be
4x+26=12x-38
Add 38 to both sides
4x+26+38=12x-38+38
4x+64=12x
Subtract 4 from both sides
4x+64-4x=12x-4x
64=8x
Divide both sides by 8
64/8=8x/8
8=x
Hope this helped!

There is a seven 1/2% sales tax added to the party bill. Mrs. Gutierrez also wants to add an 18% tip for the servers. This will be figured before tax is added. What will be the total cost of the party?

Answers

1.255 times the party bill. x = party bill s = sales tax t = tip C = total cost = the bill, plus the sales tax, and the tip C = x + s + t We know that both the sales tax and the tip are percentages based on the party bill. The sales tax is equal to 7.5% of the party bill. The tip is equal to 18% of the party bill. so, s = (0.075)*x and, t = (0.18)*x Then we replace the s and the t in our equation, C = x + 0.075x + 0.18x Then, we add the elements together. C = (1+0.075+0.18)x C = 1.255x

What is "40x = 5y (w - 3z)" (Solve for w)

Answers

Okee dokee, solve for w when 40x=5y(w-3z), so it's will gonna be like this:
40x=5y(w-3z)
40x=5yw-15yz
+15yz    +15yz
40x+15yz=5yw
/5y            /5y
40x/5y+3z=w
8x/y+3x=3, this is the final answer.

What is 8.5 as a mixed number in simplest form

Answers

 8 5/10
8 1/2

Hope this helped!
The decimal 8.5 can be converted to a mixed number in simplest form by simply applying logic. 0.5 is 1/2 so 8?5 is just 8 1/2 as a simplified mixed number.

I hope this helps!

Which triangle is a translation of triangle ABC?


MNO
PQR
STU
VWX

Answers

I think it’s MNO but I really don’t know

Answer:

MNO

Step by step:

A translation is the shifting of a figure from one place to another without rotating, reflecting or changing its size. So when you look at all of the answer choices then look at the definition of translation you see that MNO fits all the criterias.

(I am going with the assumption that this is the question since you gave no picture.)

(MNO is the correct answer for plato.)

What is the unit price for 3 1/4 yards for $13?

Answers

Greetings!

[tex]3 \frac{1}{4} /3\frac{1}{4}=1 [/tex]
Therfore to find the cost for unit, we must divide the cost by:
[tex]3 \frac{1}{4}[/tex] 

[tex]=13/3\frac{1}{4}[/tex]
Simplify.
[tex]=\frac{13}{1} /3\frac{1}{4}[/tex]
Convert mixed number into improper fraction.
[tex]=\frac{13}{1} /\frac{13}{4}[/tex]
Simplify.
[tex]=\frac{13}{1}*\frac{4}{13}[/tex]
[tex]=\frac{52}{13}[/tex]
Convert back to mixed number.
[tex]=4[/tex]

The unit cost for a yard is $4.

Hope this helps.
-Benjamin

during the NBA finals LeBron James scored six more points than kyrie Irving as Kevin love scored four more points than kyrie. How many points did they score if they scored 70 points a'll together?

Answers

Lebron scored 26, Kyrie scored 20, and Kevin scored 24.

Answer:

Step-by-step explanation:

NOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

suppose 25 out of 175 people said they like to play disc golf and out 5 out of every twelve of the players have a personalized black disc at the Staybridge in a group of 252 people predict how many you would expect to have a personalized flying disc

Answers

We have [tex] \frac{5}{12} [/tex] of 252 people who have a personalized black disc

Number of people who would have personalized flying disc = [tex] \frac{5}{12}*252= \frac{2*252}{12}=105 [/tex] people

Then we work out the number of people who like to play disc golf:
[tex] \frac{25}{175}*105= \frac{25*105}{175}=15 [/tex] people

So we have 15 people who like to play disc golf and have personalised black disc.

A group of 19 students want to see the show at the planetarium. Tickets cost $11 for each student portal who is a member of the planetarium's frequent visitor program and $13 for each student who is not a member. The total cost of the students tickets is $209. Joining the frequent visitor program at the planetarium costs $5 per year. Write an equation that can be used to determine n, the number of visits per year for which the cost of being a member of the frequent visitor program is equal to the cost of not being a member.

Answers

Let us say that:

x = number of students who are members.

 

Since both groups went together to the planetarium, therefore this means that 19-x is the number of students who are not member

 

Since x paid $11 for tickets and (19-x) paid $13 so the total cost of the tickets is:

 

$11x + $13(19-x) = $209

 

Solving for x would get us the number of members:

11x + 247 – 13x = 209

-2x = -38

x = 19

Therefore this means that all students are members.

Emily can ride her scooter 18 miles in 50 minutes at same rate how far she ride in 2 hrs

Answers

I believe that the correct answer would be 43.2 miles.
Final answer:

Emily's scooter riding speed is 0.36 miles per minute. Multiplying this rate by 120, the number of minutes in 2 hours, we find that she would be able to travel a distance of 43.2 miles in 2 hours.

Explanation:

To answer your question, we first need to find what Emily's speed is. That's how fast she's going. We know that Emily can ride her scooter 18 miles in 50 minutes. So, her speed is 18 miles/50 minutes. When we calculate this, it comes out to be 0.36 miles per minute.

The problem wants us to determine how far Emily can ride in 2 hours if she continues at this same speed. Since there are 120 minutes in 2 hours, we have to multiply her rate by 120.

Doing the multiplication: 0.36 miles/minute * 120 minutes = 43.2 miles. So, Emily could travel 43.2 miles in 2 hours at the same rate.

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Solve the inequality for b
10 ≥ - 2/3 (9+12B)

Answers

 [tex]10 \geq - \frac{2}{3} (9+12B)[/tex]

[tex]10 \geq \frac{-2}{3}*9 +\frac{-2}{3}*12B [/tex]

[tex]10 \geq (-2*3) +(-2*4B)[/tex]

[tex]10 \geq -6 -8B[/tex]

[tex]-8B \leq 10 + 6[/tex]

[tex]-8B \leq 16[/tex]

[tex]B \leq \frac{16}{-8} = -2[/tex]

B ≤ -2

Hence, B is any number less than or equal to -2.

Final answer:

To solve the inequality 10 ≥ - 2/3 (9+12B) for b, first eliminate the fraction by multiplying both sides by -3/2, then isolate b, resulting in b ≥ -2.

Explanation:

The student has asked to solve the inequality for b: 10 ≥ - 2/3 (9+12B). To do this, follow these steps:

Multiply both sides of the inequality by the reciprocal of -2/3, which is -3/2, to get rid of the fraction. This step is crucial for simplifying the inequality.

The inequality becomes: -15 ≤ 9 + 12B.

Subtract 9 from both sides to isolate the term with b on one side: -24 ≤ 12B.

Divide both sides by 12 to solve for b: b ≥ -2.

Therefore, the solution to the inequality 10 ≥ - 2/3 (9+12B) is b ≥ -2.

is 2/3 a irrational number rational number integer or whole number?

Answers

2/3 is a rational number because a number that can be written as a ratio of two integers.

You caught a red snapper that is 8 5/12 inches long. Your friend caught a red snapper that is 8 6/13 inches long. Who caught the larger red snapper?

Please show work so I can understand

Answers

I would turn them into decimals or at least have the same denominator. To find the decimal divide the numerator by the denominator.
6/13=8.46
And 5/12= 8.42
Then the person who caught the 8 6/13 red snapper caught the bigger snapper.

Alberto is saving money to buy a pair of shoes that cost $58 He already saved $ 32 he still needs to save d dollars

Answers

he still needs to save $26 dollars
Subtract 58 and 32...That equals 26...So Alberto needs $26 more dollars..Please mark brainliest....

first person to answer all will earn bristliest

1. what is -6y+17=3y-10

2. what is 3x-32= -7x+28

3. what is 3.2-16=4a

4. what is 16.8-v=6v

Answers

1)  -6y + 17 = 3y - 10

Subtract 3y from both sides.

-6y - 3y + 17 = -10

Subtract 10 from both sides.

-6y - 3y = -12 - 10

Simplify.

-9y = -27

Divide both sides by -9.

y = 3

2)  3x - 32 = -7x + 28

Add 7x to both sides.

3x + 7x - 32 = 28

Add 32 to both sides.

3x + 7x = 28 + 32

Simplify.

10x = 60

Divide both sides by 10.

x = 6

3)  3.2 - 16 = 4a

Simplify.

-12.8 = 4a

Divide both sides by 4.

a = -3.2

4)  16.8 - v = 6v

Add v to both sides.

16.8 = 6v + v

Simplify.

16.8 = 7v

Divide both sides by 7.

v = 2.4

To check all answers, simply plug in the value of the variable that you found, then simplify. 

~Hope I helped!~


A tour bus travels 2,160 miles in 36 hours. What is the average distance the bus travels in one hour?

Answers

60 miles because 2160 divided by 36 = 60
You divide 2,160 miles by 36 hours to get your average of 60 miles.
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